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Kulaev, Ruslan Chermenovich
Associate professor
Doctor of physico-mathematical sciences (2016)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: ,
Keywords: Differential equation on the graph.
UDC: 517.955, 517.927, 517.956, 517.927.6

Subject:

Differential equation on the graph.
   
Main publications:
  1. Kulaev R.Ch., “The finite integral transform method for a parabolic differential equation on a graph”, SMJ, 50:2 (2009), 277–281  crossref

https://www.mathnet.ru/eng/person46071
List of publications on Google Scholar
https://orcid.org/0000-0002-1501-5024
https://www.scopus.com/authid/detail.url?authorId=26532903900
https://www.researchgate.net/profile/Ruslan-Kulaev

Publications in Math-Net.Ru Citations
2025
1. S. A. Karkuzaev, R. Ch. Kulaev, “Lower bounds for the leading eigenvalue of the Laplacian on a graph”, Mat. Zametki, 117:2 (2025),  270–284  mathnet  mathscinet; Math. Notes, 117:2 (2025), 287–299  scopus 1
2022
2. R. Ch. Kulaev, A. A. Urtaeva, “Qualitative properties of solutions to fourth-order differential equations on graphs”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 208 (2022),  37–48  mathnet
3. R. Ch. Kulaev, A. A. Urtaeva, “Sturm Separation Theorems for a Fourth-Order Equation on a Graph”, Mat. Zametki, 111:6 (2022),  947–952  mathnet  mathscinet; Math. Notes, 111:6 (2022), 977–981  scopus 13
2020
4. R. Ch. Kulaev, A. B. Shabat, “Darboux system and separation of variables in the Goursat problem for a third order equation in $\mathbb {R}^3$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4,  43–53  mathnet; Russian Math. (Iz. VUZ), 64:4 (2020), 35–43  isi  scopus 2
2019
5. R. Ch. Kulaev, A. B. Shabat, “Conservation laws for Volterra chain with initial step-like condition”, Ufimsk. Mat. Zh., 11:1 (2019),  61–67  mathnet; Ufa Math. J., 11:1 (2019), 63–69  isi  scopus 1
2018
6. R. Ch. Kulaev, A. K. Pogrebkov, A. B. Shabat, “Darboux system as three-dimensional analog of Liouville equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12,  60–69  mathnet; Russian Mathematics, 62:12 (2018), 50–58  isi  scopus 1
7. R. Ch. Kulaev, A. K. Pogrebkov, A. B. Shabat, “Darboux system: Liouville reduction and an explicit solution”, Trudy Mat. Inst. Steklova, 302 (2018),  268–286  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 302 (2018), 250–269  isi  scopus 3
2017
8. R. Ch. Kulaev, A. B. Shabat, “Some properties of Jost functions for Schrödinger equation with distribution potential”, Ufimsk. Mat. Zh., 9:4 (2017),  60–73  mathnet  elib; Ufa Math. J., 9:4 (2017), 59–71  isi  scopus 1
9. R. Ch. Kulaev, “On the disconjugacy of a differential equation on a graph”, Vladikavkaz. Mat. Zh., 19:3 (2017),  31–40  mathnet 1
2016
10. R. Ch. Kulaev, “On the Oscillation Property of Green's Function of a Fourth-Order Discontinuous Boundary-Value Problem”, Mat. Zametki, 100:3 (2016),  375–387  mathnet  mathscinet  elib; Math. Notes, 100:3 (2016), 391–402  isi  scopus 9
11. R. Ch. Kulaev, “On the disconjugacy property of an equation on a graph”, Sibirsk. Mat. Zh., 57:1 (2016),  85–97  mathnet  mathscinet  elib; Siberian Math. J., 57:1 (2016), 64–73  isi  scopus 13
2015
12. R. Ch. Kulaev, “Disconjugacy of fourth-order equations on graphs”, Mat. Sb., 206:12 (2015),  79–118  mathnet  mathscinet  zmath  elib; Sb. Math., 206:12 (2015), 1731–1770  isi  scopus 11
13. R. Ch. Kulaev, “Comparison theorems for Green function of a fourth order boundary value problem on a graph”, Ufimsk. Mat. Zh., 7:4 (2015),  99–108  mathnet  elib; Ufa Math. J., 7:4 (2015), 94–103  isi  scopus 2
14. R. Ch. Kulaev, “Oscillatory properties of the Green function of discontinuous boundary value problem for equations of the fourth order”, Vladikavkaz. Mat. Zh., 17:1 (2015),  47–59  mathnet 3
2014
15. R. Ch. Kulaev, “The source function of the chain of rods with elastic supports”, Vladikavkaz. Mat. Zh., 16:2 (2014),  49–61  mathnet 3
2013
16. R. Ch. Kulaev, “The Green function of the boundary value problem on a star-shaped graph”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2,  56–66  mathnet; Russian Math. (Iz. VUZ), 57:2 (2013), 48–57  scopus 12
17. R. Ch. Kulaev, “On the sing of the Green's function of the boundary value problem for the fourth-order equation on a graph”, Vladikavkaz. Mat. Zh., 15:4 (2013),  19–29  mathnet 2
2012
18. R. Ch. Kulaev, “About Green's function of a parabolic problem on a graph”, Vladikavkaz. Mat. Zh., 14:4 (2012),  32–40  mathnet
2011
19. R. Ch. Kulaev, “On existence of the solution of parabolic problem on the graph with a boundary conditions, containing derivatives on time”, Vladikavkaz. Mat. Zh., 13:3 (2011),  42–52  mathnet
2010
20. R. Ch. Kulaev, “Existence theorem for a parabolic mixed problem on a graph with boundary conditions containing time derivatives”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:2 (2010),  139–148  mathnet  elib 3
21. R. Ch. Kulaev, “On resolvability of a parabolic problem on the graph”, Ufimsk. Mat. Zh., 2:4 (2010),  74–84  mathnet  zmath  elib 1
2009
22. R. Ch. Kulaev, “The finite integral transform method for a parabolic differential equation on a graph”, Sibirsk. Mat. Zh., 50:2 (2009),  350–355  mathnet  mathscinet; Siberian Math. J., 50:2 (2009), 277–281  isi  scopus 2
2008
23. R. Ch. Kulaev, “On the geometric multiplicity of the eigenvalues of a boundary value problem on a graph”, Vladikavkaz. Mat. Zh., 10:3 (2008),  23–28  mathnet  mathscinet
2007
24. R. Ch. Kulaev, “Application of finite integral transformations on a graph to the solution of problems in mathematical physics”, Vladikavkaz. Mat. Zh., 9:4 (2007),  15–25  mathnet  mathscinet
2005
25. R. Ch. Kulaev, “An integral transformation on a graph for a second-order differential operator”, Vladikavkaz. Mat. Zh., 7:2 (2005),  78–85  mathnet  mathscinet 3
2004
26. M. G. Zavgorodniĭ, R. Ch. Kulaev, “On the continuous dependence of the points of the spectrum of a boundary value problem, specified on a graph, on the parameters of the agreement conditions”, Vladikavkaz. Mat. Zh., 6:2 (2004),  10–16  mathnet  mathscinet  zmath  elib 2
2025
27. A. K. Gutnova, N. A. Dzhusoeva, A. Kh. Zhurtov, A. S. Kondrat'ev, R. Ch. Kulaev, A. G. Kusraev, V. D. Mazurov, A. A. Makhnev, Ya. N. Nuzhin, U. M. Pachev, V. T. Khudalov, M. Z. Khudalov, “V. A. Koibaev (on his 70th anniversary)”, Vladikavkaz. Mat. Zh., 27:3 (2025),  136–138  mathnet
2023
28. E. S. Kamenetskiĭ, R. Ch. Kulaev, A. G. Kusraev, R. M. Mnukhin, R. D. Nedin, A. F. Tedeev, Zh. D. Totieva, O. V. Yavruyan, “Alexander Ovanesovich Vatulyan (on his 70th anniversary)”, Vladikavkaz. Mat. Zh., 25:4 (2023),  143–147  mathnet
2020
29. V. E. Adler, S. N. Askhabov, R. Ch. Kulaev, A. G. Kusraev, S. S. Kutateladze, A. K. Pogrebkov, Yu. G. Reshetnyak, “In Memory of Alexei Borisovich Shabat (08.08.1937–24.03.2020)”, Vladikavkaz. Mat. Zh., 22:2 (2020),  100–102  mathnet

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