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Kulaev, Ruslan Chermenovich

Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 28

Number of views:
This page:2353
Abstract pages:19528
Full texts:8010
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://elibrary.ru/author_items.asp?spin=4941-1764
https://orcid.org/0000-0002-1501-5024
https://www.webofscience.com/wos/author/record/AAO-6785-2021
https://www.scopus.com/authid/detail.url?authorId=26532903900
https://www.researchgate.net/profile/Ruslan-Kulaev

Publications in Math-Net.Ru Citations
2026
1. R. Ch. Kulaev, V. A. Eloeva, “Oscillatory properties of the spectrum of a fourth-order operator on a cross graph”, CMFD, 72:2 (2026),  297–308  mathnet
2. S. A. Gotsoev, R. Ch. Kulaev, “Comparison theorems for a fourth-order variational equation on a metric graph”, Mat. Zametki, 120:2 (2026),  198–211  mathnet; Math. Notes, 120:2 (2026), 231–241  scopus
2025
3. 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  isi  scopus 2
2022
4. 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
5. 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  isi  scopus 14
2020
6. 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
7. 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
8. 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
9. 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
10. 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
11. R. Ch. Kulaev, “On the disconjugacy of a differential equation on a graph”, Vladikavkaz. Mat. Zh., 19:3 (2017),  31–40  mathnet 1
2016
12. 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 10
13. 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 14
2015
14. 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 13
15. 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
16. 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
17. 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
18. 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 13
19. 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
20. R. Ch. Kulaev, “About Green's function of a parabolic problem on a graph”, Vladikavkaz. Mat. Zh., 14:4 (2012),  32–40  mathnet
2011
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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
28. 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
29. 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
30. 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
31. 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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