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Pavlenko, Vyacheslav Nikolaevich

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Total publications: 39
Scientific articles: 37

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References:628
Professor
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 17.07.1946
E-mail:
Keywords: equatiouns and variational inequalities with discountinuous nonlimarities; nonlinear eigenvalue problems; control problems involving discountinuous nonlimarities.

Subject:

Foundations of the theory of equations with discontinuous nonlinearities are established. This theory includes wide class of elliptic and parabolic boundary-value problems with discontinuous nonlinearities.

Biography

Graduated from Faculty of Mathematica and Mechanica of M. V. Lomonosov Moscow State University (MSU) in 1969 (department of differential equations). Ph. D. thesis was defended in 1972. D. Sci. thesis was defended in 1995. A list of my works contains more than 40 titles.

In 1955, 1997, 1998 I was awarded by grant of International Soros Program of Education in exact sciences in nomination "Soros associate professor". In 2000 and 2001 I entered in number of the winners in competition in nomination "Soros professor".

   
Main publications:
  • Pavlenko V. N. Teoremy suschestvovaniya dlya ellipticheskikh variatsionnykh neravenstv s kvazipotentsialnymi operatorami // Differents. uravneniya, 1988, 24(8), 1397–1402.
  • Pavlenko V. N. Upravlenie singulyarnymi raspredelennymi sistemiami parabolicheskogo tipa s razryvnymi nelineinostyami // Ukr. matem. zhurn., 1994, 46(6), 729–736.
  • Pavlenko V. N. O suschestvovanii polupravilnykh reshenii pervoi kraevoi zadachi dlya uravneniya parabolicheskogo tipa s razryvnoi nelineinostyu // Differents. uravneniya, 1991, 27(3), 520–526.
  • Pavlenko V. N., Vinokur V. V. Rezonansnye kraevye zadachi dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami // Izvestiya vuzov, ser. matem., 2001, 5(468), 43–58.
  • Pavlenko V. N., Potapov D. K. O suschestvovanii lucha sobstvennykh znachenii dlya uravnenii s razryvnymi operatorami // Sib. matem. zhurn., 2001, 42(4), 911–919.

http://www.mathnet.ru/eng/person17956
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/245664

Publications in Math-Net.Ru
2019
1. V. N. Pavlenko, E. Yu. Postnikova, “Sturm — Liouville problem for an equation with a discontinuous nonlinearity”, Chelyab. Fiz.-Mat. Zh., 4:2 (2019),  142–154  mathnet  elib
2. V. N. Pavlenko, D. K. Potapov, “On properties of the spectrum of an elliptic boundary-value problem with a parameter and a discontinuous nonlinearity”, Mat. Sb., 210:7 (2019),  145–170  mathnet  elib
2018
3. V. N. Pavlenko, D. K. Potapov, “Elenbaas Problem of Electric Arc Discharge”, Mat. Zametki, 103:1 (2018),  92–100  mathnet  elib; Math. Notes, 103:1 (2018), 89–95  isi  scopus
2017
4. V. N. Pavlenko, D. K. Potapov, “Existence of Three Nontrivial Solutions of an Elliptic Boundary-Value Problem with Discontinuous Nonlinearity in the Case of Strong Resonance”, Mat. Zametki, 101:2 (2017),  247–261  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 284–296  isi  scopus
5. V. N. Pavlenko, D. K. Potapov, “Existence of two nontrivial solutions for sufficiently large values of the spectral parameter in eigenvalue problems for equations with discontinuous right-hand sides”, Mat. Sb., 208:1 (2017),  165–182  mathnet  mathscinet  elib; Sb. Math., 208:1 (2017), 157–172  isi  scopus
6. V. N. Pavlenko, D. K. Potapov, “Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities”, Sibirsk. Mat. Zh., 58:2 (2017),  375–385  mathnet  elib; Siberian Math. J., 58:2 (2017), 288–295  isi  elib  scopus
2016
7. V. N. Pavlenko, D. K. Potapov, “Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity”, Mat. Tr., 19:1 (2016),  91–105  mathnet  mathscinet  elib; Siberian Adv. Math., 27:1 (2017), 16–25  scopus
2015
8. V. N. Pavlenko, D. K. Potapov, “The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities”, Mat. Sb., 206:9 (2015),  121–138  mathnet  mathscinet  zmath  elib; Sb. Math., 206:9 (2015), 1281–1298  isi  scopus
2012
9. V. N. Pavlenko, T. A. Petrash, “Periodic solutions of the vibrating string equation with Neumann and Dirichlet boundary conditions and a discontinuous nonlinearity”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  199–204  mathnet  elib
10. I. F. Galikhanov, V. N. Pavlenko, “Periodic solutions of the telegraph equation with a discontinuous nonlinearity”, Ufimsk. Mat. Zh., 4:2 (2012),  74–79  mathnet  mathscinet
2011
11. V. N. Pavlenko, M. S. Fedyashev, “Periodic solutions of parabolic equations with discontinuous nonlinearities”, Vestnik Chelyabinsk. Gos. Univ., 2011, 14,  94–101  mathnet
12. V. N. Pavlenko, D. Y. Medvedev, “Periodic solutions of parabolic equations with homogeneus bondary Dirichlet conditions time depent coefficients and discontinuous nonlinearity”, Vestnik Chelyabinsk. Gos. Univ., 2011, 13,  20–26  mathnet
2010
13. V. N. Pavlenko, “The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth”, Vestnik Chelyabinsk. Gos. Univ., 2010, 12,  43–48  mathnet
2008
14. V. N. Pavlenko, “Parabolic type equations with discontinuous nonlinearity”, Vestnik Chelyabinsk. Gos. Univ., 2008, 10,  49–53  mathnet
2006
15. V. N. Pavlenko, M. A. Pribyl, “Resonance elliptic variational inequalities with discontinuous nonlinearities”, Differ. Uravn., 42:1 (2006),  120–125  mathnet  mathscinet; Differ. Equ., 42:1 (2006), 132–138
2005
16. M. G. Lepchinski, V. N. Pavlenko, “Proper solutions of elliptic boundary-valus problems with discontinuous nonlinearities”, Algebra i Analiz, 17:3 (2005),  124–138  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:3 (2006), 465–475
17. V. N. Pavlenko, E. A. Chizh, “Strongly resonance elliptic variational inequalities with discontinuous nonlinearities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 7,  49–56  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:7 (2005), 47–54
18. V. N. Pavlenko, D. K. Potapov, “Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 4,  49–55  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:4 (2005), 46–52
19. M. G. Lepchinski, V. N. Pavlenko, “Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity”, Sibirsk. Mat. Zh., 46:1 (2005),  139–148  mathnet  mathscinet  zmath; Siberian Math. J., 46:1 (2005), 111–118  isi
2003
20. V. N. Pavlenko, E. A. Chizh, “Регуляризация для уравнений с разрывными некоэрцитивными операторами”, Vestnik Chelyabinsk. Gos. Univ., 2003, 9,  111–123  mathnet
21. M. G. Lepchinski, V. N. Pavlenko, “Аппроксимация краевых задач эллиптического типа с разрывной нелинейностью”, Vestnik Chelyabinsk. Gos. Univ., 2003, 7,  89–98  mathnet
2002
22. V. N. Pavlenko, O. V. Ul'yanova, “Method of Upper and Lower Solutions for Parabolic-Type Equations with Discontinuous Nonlinearities”, Differ. Uravn., 38:4 (2002),  499–504  mathnet  mathscinet; Differ. Equ., 38:4 (2002), 520–527
23. V. N. Pavlenko, L. B. Kozhaeva, “Управление эллиптическими резонансными системами с разрывными нелинейностями”, Vestnik Chelyabinsk. Gos. Univ., 2002, 6,  147–154  mathnet
24. V. N. Pavlenko, E. A. Chizh, “Задача Дирихле для уравнения Лапласа с разрывной нелинейностью без условия Ландесмана–Лазера”, Vestnik Chelyabinsk. Gos. Univ., 2002, 6,  120–126  mathnet
25. V. N. Pavlenko, D. K. Potapov, “О существовании полуоси положительных собственных значений для уравнений с разрывными операторами”, Vestnik Chelyabinsk. Gos. Univ., 2002, 6,  114–119  mathnet
26. V. N. Pavlenko, V. V. Vinokur, “Теоремы существования для уравнений с некоэрцитивными разрывными операторами”, Vestnik Chelyabinsk. Gos. Univ., 2002, 6,  104–113  mathnet
2001
27. V. N. Pavlenko, V. V. Vinokur, “Resonance boundary value problems for elliptic-type equations with discontinuous nonlinearities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, 5,  43–58  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 45:5 (2001), 40–55
28. V. N. Pavlenko, D. K. Potapov, “Existence of a ray of eigenvalues for equations with discontinuous operators”, Sibirsk. Mat. Zh., 42:4 (2001),  911–919  mathnet  mathscinet  zmath; Siberian Math. J., 42:4 (2001), 766–773  isi
1999
29. V. N. Pavlenko, “Управление распределенными системами эллиптического типа с разрывными нелинейностями”, Vestnik Chelyabinsk. Gos. Univ., 1999, 5,  56–67  mathnet
1998
30. V. N. Pavlenko, O. V. Ul'yanova, “The method of upper and lower solutions for elliptic-type equations with discontinuous nonlinearities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, 11,  69–76  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 42:11 (1998), 65–72
1995
31. V. N. Pavlenko, “Control of distributed systems of elliptic type with discontinuous nonlinearities”, Differ. Uravn., 31:9 (1995),  1586–1587  mathnet  zmath
1994
32. V. N. Pavlenko, “Вариационный метод для уравнений с разрывными операторами”, Vestnik Chelyabinsk. Gos. Univ., 1994, 2,  87–95  mathnet
1993
33. V. N. Pavlenko, “The method of monotone operators in problems of the control of distributed systems of elliptic type with discontinuous nonlinearities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 8,  49–54  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:8 (1993), 47–53
1991
34. V. N. Pavlenko, “On the existence of semiregular solutions of the first boundary value problem for an equation of parabolic type with a discontinuous nonmonotone nonlinearity”, Differ. Uravn., 27:3 (1991),  520–526  mathnet  mathscinet; Differ. Equ., 27:3 (1991), 374–379
35. V. N. Pavlenko, “The method of monotone operators for equations with discontinuous nonlinearities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, 6,  38–45  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:6 (1991), 38–44
1988
36. V. N. Pavlenko, “Existence theorems for elliptic variational inequalities with quasipotential operators”, Differ. Uravn., 24:8 (1988),  1397–1402  mathnet  mathscinet; Differ. Equ., 24:8 (1988), 913–916
1972
37. V. N. Pavlenko, “On the solvability of some nonlinear equations with discontinuous operators”, Dokl. Akad. Nauk SSSR, 204:6 (1972),  1320–1323  mathnet  mathscinet  zmath

2017
38. S. F. Dolbeeva, V. N. Pavlenko, S. V. Matveev, O. N. Dementiev, A. V. Mel'nikov, E. A. Sbrodova, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, E. A. Fominykh, A. A. Ershov, “Arlen Mikhaylovich Il’in. Towards 85th birthday”, Chelyab. Fiz.-Mat. Zh., 2:1 (2017),  5–9  mathnet  elib
39. B. K. Vodolaga, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, N. L. Klinacheva, Yu. M. Kovalev, A. N. Kraiko, È. S. Kuropatenko, I. V. Kuropatenko, M. V. Kuropatenko, V. A. Levin, I. R. Makeyeva, N. F. Morozov, V. N. Pavlenko, G. A. Sviridyuk, V. A. Simonenko, V. M. Titov, A. V. Fedorov, N. N. Fedorova, V. M. Fomin, N. A. Fomin, A. L. Shestakov, E. S. Shestakovskaya, “Valentin Fedorovich Kuropatenko (1933–2017)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017),  151–152  mathnet  elib

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