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Kalyakin, Leonid Anatol'evich

Total publications: 114 (111)
in MathSciNet: 84 (82)
in zbMATH: 70 (70)
in Web of Science: 51 (50)
in Scopus: 69 (69)
Cited articles: 72
Citations: 443
Presentations: 2

Number of views:
This page:5001
Abstract pages:29591
Full texts:10119
References:3730
Kalyakin, Leonid Anatol'evich
Professor
Doctor of physico-mathematical sciences (1988)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 8.07.1947
E-mail:
Website: https://matem.anrb.ru/ru/kalyakinla
Keywords: asymptotics, small parameter, differential equations, resonance.
UDC: 517.928.226, 517.946.9, 517.948, 517.956, 517.956.226, 517.958.530.145.7, 518, 519.634
MSC: 35C20, 35B40, 35L40, 35L70, 35Q55

Subject:

Asymptotic solutions of nonlinear differential equations.

Biography

1969 Mathematician diploma, Ural State University, Sverdlovsk. From 1968 work in the Institute of Mathematics and Mechanics, Ural Branch of RAS, Sverdlovsk. 1975 PhD, thesis "Methods of solving unstable problems", Ural State University, Sverdlovsk. From 1978 work in the Department of Physics and Mathematics, Bashkir Scientific center of RAS. From 1987 Head of the Department of Differential Equations, Institute of Mathematics, Ufa Scientific Center of RAS. 1989 Doctor's degree, thesis "Long-wave asymptotics for the solutions of the systems of nonlinear equations", Institute of Mathematics and Mechanics, Ural Branch of RAS, Sverdlovsk. 1992 Professor of the Department of differential Equations, Bashkir State University, 2000 Soros' Professor, supervisor of six philosophy doctors in differential equations. For many years gives the lecture courses on differential equations and mathematical physics at the Faculty of Mathematics, BSU. Scientific interests are concerned to the application of asymptotic methods for solving nonlinear problems of mathematical physics. Author of more than 80 publications. Co-author of papers concerning to application of asymptotic methods in chemical kinetics, fluid dynamics, written in active collaboration with chemists, physicists and mechanicians.

   
Main publications:
  1. L. A. Kalyakin, “Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems”, Russian Math. Surveys, 44:5 (1989), 1–34
  2. L. A. Kalyakin, “Asymptotic analysis of autoresonance models”, Russian Math. Surveys, 63:5 (2008), 791–857

https://www.mathnet.ru/eng/person8331
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/203746

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. L. A. Kalyakin, “Asymptotics of the solution output to a traveling wave in the KPP equation”, TMF (to appear)  mathnet

   2024
2. L. A. Kalyakin, “Stability of a Traveling Wave on a Saddle-Node Trajectory”, Math. Notes, 115:6 (2024), 931–942  mathnet  crossref  crossref  mathscinet  scopus
3. L. A. Kalyakin, E. G. Ekomasov, “Simulation of domain walls: simple waves in the magnetodynamics equation”, Comput. Math. Math. Phys., 94:1 (2024), 85–98  mathnet  crossref  crossref  elib
4. L. A. Kalyakin, “On the asymptotics of the traveling wave velocity on a saddle-node trajectory”, Math. Notes, 116:6 (2024), 1277–1291  mathnet  crossref  crossref

   2023
5. L. A. Kalyakin, “Perturbation of a simple wave in a domain wall model”, Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S90–S100  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
6. L. A. Kalyakin, “Perturbation of a simple wave: from simulation to asymptotics”, Ufa Math. J., 15:3 (2023), 54–68  mathnet  crossref  mathscinet

   2022
7. L. A. Kalyakin, “Asymptotics of a dynamic saddle-node bifurcation for the nuclear spin model in an antiferromagnet”, Trudy Inst. Mat. i Mekh. UrO RAN, 28, no. 1, 2022, 111–126  mathnet  crossref  elib  scopus
8. L. A. Kalyakin, “Asymptotics of Andronov–Hopf Dynamic Bifurcations”, Journal of Mathematical Sciences, 260 (2022), 756–773  crossref  zmath  scopus 1
9. Kalyakin L. A., “Asymptotics of Dynamical Saddle-node Bifurcations”, Russian Journal of Nonlinear Dynamics, 18:1 (2022), 119-135 http://nd.ics.org.ru/nd220108/  mathnet  crossref  mathscinet  scopus
10. L. A. Kalyakin, “Perturbation of a Simple Wave in a System with Dissipation”, Math. Notes, 112:4 (2022), 549–560  mathnet  crossref  crossref  mathscinet  zmath  scopus
11. L. A. Kalyakin, “Asymptotics of the solution for the system of Landau–Lifsitz equations under saddle-node dynamical bifurcation”, St. Petersburg Math. J., 33:2 (2022), 223–242  mathnet  crossref

   2021
12. L. A. Kalyakin, “Asymptotics of the Solution of a Variational Problem on a Large Interval”, Math. Notes, 110:5 (2021), 687–699  mathnet  crossref  crossref  zmath  isi  elib  scopus
13. L. A. Kalyakin, A.K.Zvezdin, Z.V.Gareeva, “Ustoichivost asimptoticheskogo priblizheniya v modelyakh multiferroikov”, Problemy matematicheskogo analiza, 2021, no. 108, 83-97  zmath
14. L. A. Kalyakin, A. K. Zvezdin, and Z. V. Gareeva, “Stability of Asymptotic Approximation in Models of Multiferroics”, JOURNAL OF MATHEMATICAL SCIENCES, 255:4 (2021), 444-458  crossref  mathscinet  zmath  scopus

   2020
15. L. A. Kalyakin, A. K. Zvezdin, Z. V. Gareeva, “Asymptotic analysis of a multiferroic model”, Theoret. and Math. Phys., 203:1 (2020), 457–468  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
16. Z. V. Gareeva, L. A. Kalyakin, I. R. Kayumov, A. K. Zvezdin, “SPIN-PEREORIENTATsIONNYE PEREKhODY V MULTIFERROIKAKh S TsIKLOIDALNYM SPINOVYM UPORYaDOChENIEM”, FIZIKA METALLOV I METALLOVEDENIE, 121:4 (2020), 352-358  crossref  elib 2

  
17. L. A. Kalyakin, “Asymptotics of Solutions of the Nonlinear Oscillator Model with Natural Boundary Conditions”, JOURNAL OF MATHEMATICAL SCIENCES, 247, no. 6, 877-887  crossref  mathscinet  zmath  scopus

   2020
18. Z. V. Gareeva, A. K. Zvezdin,L. A. Kalyakin,T. T. Gareev, “Dzyaloshinskii – Moriya interaction, epitaxial strains, phase transitions in multiferroics with cycloidal structure”, Journal of Magnetism and Magnetic Materials, 515 (2020), 167255 , 14 pp.  crossref  mathscinet
19. GAREEVA Z.V.,KALYAKIN L.A.,KAYUMOV I.R., ZVEZDIN A.K, “SPIN-REORIENTATION TRANSITIONS IN MULTIFERROICS WITH CYCLOIDAL SPIN ORDERING”, THE PHYSICS OF METALS AND METALLOGRAPHY, 121:4 (2020), 310-315  crossref  adsnasa  isi  elib  scopus 2

   2019
20. L. A. Kalyakin, “On the frequency of a nonlinear oscillator”, Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 163, VINITI, Moscow, 2019, 15–24  mathnet  mathscinet
21. L. A. Kalyakin, “Capture and Keeping of a Resonance near Equilibrium”, Russian Journal of Mathematical Physics, 26:2 (2019), 152-167 https://link.springer.com/journal/11503/26/2  crossref  mathscinet  zmath  adsnasa  isi  scopus
22. L. A. Kalyakin, “Asymptotics of the Solution of a Differential Equation in a Saddle–Node Bifurcation”, Computational Mathematics and Mathematical Physics, 59:9 (2019), 1454–1469. (to appear)  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2018
23. L. A. Kalyakin, “Resonance capture in a system of two oscillators near equilibrium”, Theoret. and Math. Phys., 194:3 (2018), 331–346  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
24. L. A. Kalyakin, “Analysis of a Mathematical Model for Nuclear Spins in an Antiferromagnet”, Russian Journal of Nonlinear Dynamics, 14:2 (2018), 217–234 http://nd.ics.org.ru/authors_nd/detail/26267-leonid_kalyakin  mathnet  crossref  elib  scopus
25. J. A. Baimova, I, Evazzade, L. A. Kalyakin, S. V. Dmitriev and K. Zhou, “Dehydrogenation of graphane by external driving”, IOP Conf. Series: Materials Science and Engineering, 447:conference 1 (2018), 012011 , 5 pp.  crossref  isi  scopus
26. L. A. Kalyakin, “Capture and holding of resonance far from equilibrium”, Ufa Math. J., 10:4 (2018), 64–76  mathnet  crossref  mathscinet  zmath  isi  scopus

   2017
27. L. A. Kalyakin, “Asymptotic analysis of the model of gyromagnetic autoresonance”, Comput. Math. Math. Phys., 57:2 (2017), 281–296  mathnet  crossref  crossref  zmath  isi  elib  elib  scopus
28. L. A. Kalyakin, “Adiabatic approximation for a Model of Cyclotron Motion”, Math. Notes, 101:5 (2017), 850–862  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2018
29. L. A. Kalyakin, “Painleve II equation as a model of a resonant interaction of oscillators”, Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 124–135  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2017
30. Kalyakin L.A, “Adiabatic approximation in a resonance capture problem”, Ufa Mathematical Journal, 9:3 (2017), 61-75 http://matem.anrb.ru/en/article?art_id=461  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
31. S. A. Kordyukova, L. A. Kalyakin, “On a double boundary layer in a nonlinear boundary value problem”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 129–146  mathnet  crossref  mathscinet  isi  elib  scopus

   2016
32. L. A. Kalyakin, “Stability of the autoresonance in a dissipative system”, Russian Journal of Mathematical Physics, 23:1 (2016), 77–87  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
33. L. A. Kalyakin, “Stability of equilibrium with respect to a white noise”, Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 68–77  mathnet  crossref  mathscinet  isi  elib

   2015
34. L. A. Kalyakin, “Lyapunov Functions in Justification Theorems for Asymptotics”, Math. Notes, 98:5 (2015), 752–764  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
35. L.A.Kalyakin, “Asimptoticheskii analiz modeli tsiklotronnogo giromagnitnogo avtorezonansa”, Vestnik chelyabinskogo gosudarstvennogo universiteta, 22 (377), Fizika:21 (2015), 68-74 http://www.lib.csu.ru/vch/377/vcsu15_22.pdf  elib

   2014
36. L. A. Kalyakin, “Phantom asymptotic solutions”, Ufa Math. Journal, 6:2 (2014), 44–65  mathnet  crossref  elib  elib  scopus
37. L. A. Kalyakin, “Synchronization in a nonisochronous nonautonomous system”, Theoret. and Math. Phys., 181:2 (2014), 1339–1348  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
38. L. A. Kalyakin, “Lyapunov functions in barriers for parabolic equations and in stability problems with respect to “white noise””, Russian Journal of Mathematical Physics, 21:4 (2014), 472–483 http://link.springer.com/article/10.1134/S1061920814040050  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
39. L. A. Kalyakin, “Existence Theorems and Estimates of Solutions for Equations of Principal Resonance”, Journal of Mathematical Sciences, 200:1 (2014), 82-95 http://link.springer.com/search/page/3?query=Kalyakin#page-1  crossref  mathscinet  zmath  scopus 4
40. L Kalyakin, “Stability under persistent perturbation by white noise”, Journal of Physics: Conference Series, 482 (2014), 012019 , 7 pp.  crossref  mathscinet  isi  scopus 2

   2013
41. L. A. Kalyakin, “Stability of nondissipative systems under random perturbations that are small in the mean”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 170–178  mathnet  mathscinet  elib
42. L. A. Kalyakin, O. A. Sultanov, “Stability of autoresonance models”, Differential Equations, 49:3 (2013), 267–281 http://www.gproxx.com/http://link.springer.com/article/10.1134/S0012266113030014  crossref  mathscinet  zmath  elib  elib  scopus

   2012
43. L. A. Kalyakin, “Stability of Nondissipative Systems under Persistent Random Perturbations”, Math. Notes, 92:1 (2012), 136–139  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2013
44. L. A. Kalyakin, “Analysis of the Bloch equations for the nuclear magnetization model”, Proceedings of the Steklov Institute of Mathematics, 281:Suppl. 1 (2013), 64–81  mathnet  crossref  isi  elib  scopus

   2012
45. L. A. Kalyakin, “Asymptotic analysis of the surfing acceleration model”, Ufimsk. Mat. Zh., 4:2 (2012), 101–113  mathnet  elib

   2011
46. L. A. Kalyakin, O. A. Sultanov, M. A. Shamsutdinov, “Asymptotic analysis of a model of nuclear magnetic autoresonance”, Theoret. and Math. Phys., 167:3 (2011), 762–771  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
47. A.T. Kharisov, L.A. Kalyakin, M.A. Shamsutdinov, “Autoresonance Excitation of Nonlinear Oscillations of Magnetization and Domain Walls in Ferromagnets”, Solid State Phenomena, 168-169 (2011), 77-80 http://www.scientific.net/SSP.168-169.77  crossref  isi  scopus
48. V.N. Nazarov, L.A. Kalyakin, M.A. Shamsutdinov, “Autoresonance Parametric Excitation of the Magnetic Breather in a Uniaxial Ferromagnet”, Solid State Phenomena, 168-169 (2011), 81-84 http://www.scientific.net/SSP.168-169.81  crossref  isi  scopus 2
49. O. A. Sultanov, L. A. Kalyakin, “Averaging of the Bloch equations”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14, 107–112  mathnet  mathscinet  elib
50. L. A. Kalyakin, V. Yu. Novokshenov, I. T. Habibullin, E. G. Ekomasov, A. T. Kharisov, “In memory of Miniakhat Asgatovich Shamsutdinov”, Ufimsk. Mat. Zh., 3:1 (2011), 122–123  mathnet

   2010
51. L. A. Kalyakin, “Analysis of a synchronization model in an anisochronous system”, Comput. Math. Math. Phys., 50:8 (2010), 1338–1349  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib  scopus

   2009
52. L. A. Kalyakin, M. A. Shamsutdinov, “Autoresonant asymptotics in an oscillating system with weak dissipation”, Theoret. and Math. Phys., 160:1 (2009), 960–967  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
53. L. A. Kalyakin, “Averaging method for the problems on asymptotics at infinity”, Ufimsk. Mat. Zh., 1:2 (2009), 29–52  mathnet  zmath  elib

   2008
54. L. A. Kalyakin, “Asymptotic analysis of autoresonance models”, Russian Math. Surveys, 63:5 (2008), 791–857  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2007
55. L. A. Kalyakin, M. A. Shamsutdinov, “Adiabatic approximations for Landau–Lifshitz equations”, Proc. Inst. Math. Mech., 259, suppl. 2 (2007), S124–S140  mathnet  crossref  elib  scopus
56. E. M. Maslov, L. A. Kalyakin, A. G. Shagalov, “Breather resonant phase locking by an external perturbation”, Theoret. and Math. Phys., 152:2 (2007), 1173–1182  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
57. R. N. Garifullin, L. A. Kalyakin, M. A. Shamsutdinov, “Autoresonance excitation of a breather in weak ferromagnetics”, Comput. Math. Math. Phys., 47:7 (2007), 1158–1170  mathnet  crossref  mathscinet  elib  elib  scopus

   2008
58. L. A. Kalyakin, Yu. Yu. Bagderina, “Asymptotics for the solution of averaged equations for the system of coupled oscillators”, J. Math. Sci., 151:1 (2008), 2699–2709  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2006
59. L. A. Kalyakin, “Intermediate asymptotics for solutions to the degenerate principal resonance equations”, Comput. Math. Math. Phys., 46:1 (2006), 79–89  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2005
60. L. A. Kalyakin, Yu. Yu. Bagderina, “Asymptotics of Bounded-at-Infinity Solutions of the Principal Resonance Equation”, Math. Notes, 78:1 (2005), 76–87  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
61. L. A. Kalyakin, “Resonance Capture in a Nonlinear System”, Theoret. and Math. Phys., 144:1 (2005), 944–951  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
62. L. Kalyakin, “Asymptotic analysis of a model of autoresonance”, International Conference on Control and Synchronzation of Dynamical Systems (OCTOBER 4-7 2005 León Gto.México), Journal of Physics: Conference Series, 23, 2005, 17–22  crossref  adsnasa  scopus 1

   2004
63. L. A. Kalyakin, “Asymptotic Solution of the Threshold Phenomenon Problem for the Principal Resonance Equations”, Differ. Equ., 40:6 (2004), 780–788  mathnet  crossref  mathscinet

   2003
64. L. A. Kalyakin, “Averaging in the Autoresonance Model”, Math. Notes, 73:3 (2003), 414–418  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
65. L. A. Kalyakin, “Justification of asymptotic expansions for the principal resonance equations”, Proc. Inst. Math. Mech., 2003no. , suppl. 1, S108–S122  mathnet  mathscinet  zmath  elib
66. L. A. Kalyakin, “Asymptotic Behavior of Solutions of Equations of Main Resonance”, Theoret. and Math. Phys., 137:1 (2003), 1476–1484  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
67. V. M. Babich, L. A. Kalyakin, M. D. Ramazanov, N. Kh. Rozov, “Arlen Mikhailovich Il'in (on the occasion of the 70th anniversary)”, Proc. Inst. Math. Mech., 2003no. , suppl. 1, S1–S7  mathnet  mathscinet  zmath  elib

   2002
68. L. A. Kalyakin, “Asymptotic Solution of the Autoresonance Problem”, Theoret. and Math. Phys., 133:3 (2002), 1684–1691  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
69. V. M. Babich, R. R. Gadyl'shin, A. R. Danilin, S. Yu. Dobrokhotov, V. A. Il'in, L. A. Kalyakin, E. F. Mishchenko, V. Yu. Novokshenov, Yu. S. Osipov, M. D. Ramazanov, N. Kh. Rozov, V. A. Sadovnichii, “Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday)”, Differ. Equ., 38:8 (2002), 1075–1080  mathnet  crossref  mathscinet

   2001
70. L. A. Kalyakin, “Weak perturbations of solutions with movable singularities”, Proc. Inst. Math. Mech., 2001no. , suppl. 1, S85–S106  mathnet  mathscinet  zmath  elib
71. L. A. Kalyakin, “Perturbation of Solutions with Moving Singularities”, Theoret. and Math. Phys., 127:3 (2001), 751–759  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   2000
72. L. A. Kalyakin, “Asymptotic decay of solutions of the Liouville equation under perturbations”, Math. Notes, 68:2 (2000), 173–184  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
73. G. T. Bulgakova, L. A. Kalyakin, M. M. Khasanov, “Stability of filtration of a gas–liquid mixture”, J. Appl. Mech. Tech. Phys., 41:6 (2000), 1029–1035  mathnet  crossref  elib

   1999
74. L. A. Kalyakin, “Perturbation of a singular solution to the Liouville equation”, Theoret. and Math. Phys., 118:3 (1999), 307–313  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
75. L. A. Kalyakin, M. M. Shakiryanov, “Asymptotic behavior of the solution of the Cauchy problem for the two-dimensional homogeneous wave equation”, Differ. Equ., 35:9 (1999), 1307–1309  mathnet  mathscinet

   1998
76. L. A. Kalyakin, “Week interaction of the perturbed Korteveg–de Vries solutions”, Fundam. Prikl. Mat., 4:4 (1998), 1179–1205  mathnet  mathscinet  zmath

   1997
77. L. A. Kalyakin, S. I. Maslennikov, “Method of the asymptotic approximations to the mathematical analysis of the chemical kinetic problem”, Matem. Mod., 9:8 (1997), 60–69  mathnet  mathscinet  zmath
78. L. A. Kalyakin, V. A. Lazarev, “Perturbation of the two-soliton solution of the KdV equation”, Theoret. and Math. Phys., 112:1 (1997), 866–874  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   1996
79. L. A. Kalyakin, M. M. Shakiryanov, “Well-posedness of the Goursat–Cauchy problem for a system of equations of Davey–Stewartson type”, Dokl. Akad. Nauk, 346:4 (1996), 445–447  mathnet  mathscinet  zmath
80. A. I. Bobenko, A. M. Il'in, S. Yu. Dobrokhotov, A. R. Its, L. A. Kalyakin, V. B. Matveev, V. Yu. Novokshenov, A. B. Shabat, “Ramil' Faritovich Bikbaev (obituary)”, Russian Math. Surveys, 51:1 (1996), 129–133  mathnet  crossref  crossref  mathscinet  adsnasa  isi

   1995
81. L. A. Kalyakin, “Asymptotics of the first correction in the perturbation of the $N$-soliton solution to the KdV equation”, Math. Notes, 58:2 (1995), 814–823  mathnet  crossref  mathscinet  zmath  isi  scopus
82. L. A. Kalyakin, “On the problem of first correction in soliton perturbation theory”, Sb. Math., 186:7 (1995), 977–1002  mathnet  crossref  mathscinet  zmath  isi  scopus

   1994
83. L. A. Kalyakin, S. G. Glebov, “On the solvability of nonlinear equations of Shrödinger type in the class of rapidly oscillating functions”, Math. Notes, 56:1 (1994), 673–678  mathnet  crossref  mathscinet  zmath  isi  scopus
84. A. M. Il'in, L. A. Kalyakin, “Perturbation of finite-soliton solutions of the Korteweg–de Vries equation”, Dokl. Akad. Nauk, 336:5 (1994), 595–598  mathnet  mathscinet  zmath

   1993
85. L. A. Kalyakin, “Asymptotics of a double integral of Fourier type in the theory of soliton perturbation”, Differ. Equ., 29:6 (1993), 867–880  mathnet  mathscinet

   1992
86. L. A. Kalyakin, “Perturbation of the Korteweg–de Vries soliton”, Theoret. and Math. Phys., 92:1 (1992), 736–747  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1991
87. L. A. Kalyakin, “Asymptotics of an integral that arises in the theory of perturbations of KdV solitons”, Math. Notes, 50:5 (1991), 1114–1122  mathnet  crossref  mathscinet  zmath  isi  scopus

   1990
88. L. A. Kalyakin, “The method of matching in a problem on long-wave modulation of nonlinear two-dimensional waves with dispersion”, Tr. Mosk. Mat. Obs., 53, MSU, M., 1990, 3–41  mathnet  mathscinet  zmath

   1989
89. L. A. Kalyakin, “Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems”, Russian Math. Surveys, 44:1 (1989), 3–42  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1988
90. L. A. Kalyakin, “Local resonance in a weakly nonlinear problem”, Mat. Zametki, 44:5 (1988), 697–699  mathnet  zmath
91. L. A. Kalyakin, “Asymptotic transitions from discrete to continuous models”, Theoret. and Math. Phys., 76:3 (1988), 891–894  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1989
92. L. A. Kalyakin, “The matching method in a problem of asymptotic decomposition of a plane wave packet in a dispersive medium”, Dokl. Math., 38:1 (1989), 174–178  mathnet  mathscinet  zmath

   1988
93. L. A. Kalyakin, “Asymptotic decay of a one-dimensional wave packet in a nonlinear dispersive medium”, Math. USSR-Sb., 60:2 (1988), 457–483  mathnet  crossref  mathscinet  zmath  scopus

   1987
94. L. A. Kalyakin, Differ. Uravn., 23:4 (1987), 696–705  mathnet  mathscinet
95. L. A. Kalyakin, “Long-wave asymptotics of the solution to a nonlinear system of equations with small dissipation”, Siberian Math. J., 28:3 (1987), 433–443  mathnet  crossref  mathscinet  zmath  isi  scopus

   1986
96. L. A. Kalyakin, “Asymptotic integration of a perturbed hyperbolic system of equations in the class of conditionally periodic functions”, Tr. Mosk. Mat. Obs., 49, MSU, M., 1986, 56–70  mathnet  mathscinet  zmath
97. L. A. Kalyakin, “Long-wave asymptotics of solutions of nonlinear systems of equations with dispersion”, Dokl. Akad. Nauk SSSR, 288:4 (1986), 809–813  mathnet  mathscinet  zmath

   1985
98. L. A. Kalyakin, “Long-wave asymptotics of the solution of the Cauchy problem for a system of equations with nonlinear perturbation”, Dokl. Akad. Nauk SSSR, 283:1 (1985), 18–22  mathnet  mathscinet  zmath

   1984
99. L. A. Kalyakin, “The asymptotic behaviour of the solution of a hyperbolic system of equations with a non-linear perturbation”, Russian Math. Surveys, 39:5 (1984), 277–278  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1985
100. L. A. Kalyakin, “Long wave asymptotics of asolution of a hyperbolic system of equations”, Math. USSR-Sb., 52:1 (1985), 91–114  mathnet  crossref  mathscinet  zmath  scopus

   1984
101. L. A. Kalyakin, Differ. Uravn., 20:2 (1984), 351–353  mathnet  zmath
102. L. A. Kalyakin, “Construction of the asymptotics of the solution of a degenerate parabolic equation with a small parameter”, Siberian Math. J., 25:3 (1984), 416–423  mathnet  crossref  mathscinet  zmath  isi  scopus

   1983
103. L. A. Kalyakin, “An asymptotic expansion of the solution of a degenerate parabolic equation with a small parameter”, Russian Math. Surveys, 38:1 (1983), 194–195  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
104. L. A. Kalyakin, Differ. Uravn., 19:11 (1983), 1991–1992  mathnet  mathscinet  zmath
105. L. A. Kalyakin, Differ. Uravn., 19:4 (1983), 628–644  mathnet  mathscinet  zmath

   1982
106. L. A. Kalyakin, Differ. Uravn., 18:10 (1982), 1724–1738  mathnet  mathscinet  zmath

   1979
107. L. A. Kalyakin, Differ. Uravn., 15:4 (1979), 668–680  mathnet  mathscinet  zmath
108. L. A. Kalyakin, Differ. Uravn., 15:10 (1979), 1873–1887  mathnet  mathscinet

   1976
109. L. A. Kalyakin, “On approximate methods of solving nonlinear boundary value problems with a small parameter”, Math. USSR-Sb., 28:4 (1976), 491–500  mathnet  crossref  mathscinet  zmath  isi  scopus

   1974
110. L. A. Kalyakin, Differ. Uravn., 10:9 (1974), 1684–1691  mathnet  mathscinet  zmath

   1972
111. L. A. Kalyakin, “Approximate solution of certain unstable problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 10, 41–45  mathnet  mathscinet  zmath
112. L. A. Kalyakin, “The approximate solution of ill-posed problems in normed spaces”, U.S.S.R. Comput. Math. Math. Phys., 12:5 (1972), 104–122  mathnet  crossref  mathscinet  zmath  scopus

   1971
113. L. A. Kalyakin, “Galerkin's method for equations with a small parameter in the highest order derivatives”, Math. USSR-Sb., 14:4 (1971), 525–536  mathnet  crossref  mathscinet  zmath  scopus

   1969
114. L. A. Kalyakin, “Ritz method for equations with small parameters for higher derivatives”, Math. Notes, 6:1 (1969), 513–516  mathnet  crossref  mathscinet  zmath  scopus

Presentations in Math-Net.Ru
1. Asymptotics of dynamic Andronov-Hopf bifurcation
L. A. Kalyakin
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 3, 2021 16:10   
2. Asymptotic analysis of autoresonance in the system with small dissipation
L. A. Kalyakin
International conference "Geometrical Methods in Mathematical Physics"
December 14, 2011 16:00   

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