Kulaev Ruslan Chermenovich

Publications in Math-Net.Ru

1. Lower bounds for the leading eigenvalue of the Laplacian on a graph
   
   Mat. Zametki, 117:2 (2025),  270–284
2. Qualitative properties of solutions to fourth-order differential equations on graphs
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 208 (2022),  37–48
3. Sturm Separation Theorems for a Fourth-Order Equation on a Graph
   
   Mat. Zametki, 111:6 (2022),  947–952
4. 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
5. Conservation laws for Volterra chain with initial step-like condition
   
   Ufimsk. Mat. Zh., 11:1 (2019),  61–67
6. Darboux system as three-dimensional analog of Liouville equation
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12,  60–69
7. Darboux system: Liouville reduction and an explicit solution
   
   Trudy Mat. Inst. Steklova, 302 (2018),  268–286
8. Some properties of Jost functions for Schrödinger equation with distribution potential
   
   Ufimsk. Mat. Zh., 9:4 (2017),  60–73
9. On the disconjugacy of a differential equation on a graph
   
   Vladikavkaz. Mat. Zh., 19:3 (2017),  31–40
10. On the Oscillation Property of Green's Function of a Fourth-Order Discontinuous Boundary-Value Problem
    
    Mat. Zametki, 100:3 (2016),  375–387
11. On the disconjugacy property of an equation on a graph
    
    Sibirsk. Mat. Zh., 57:1 (2016),  85–97
12. Disconjugacy of fourth-order equations on graphs
    
    Mat. Sb., 206:12 (2015),  79–118
13. Comparison theorems for Green function of a fourth order boundary value problem on a graph
    
    Ufimsk. Mat. Zh., 7:4 (2015),  99–108
14. 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
15. The source function of the chain of rods with elastic supports
    
    Vladikavkaz. Mat. Zh., 16:2 (2014),  49–61
16. The Green function of the boundary value problem on a star-shaped graph
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2,  56–66
17. 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
18. About Green's function of a parabolic problem on a graph
    
    Vladikavkaz. Mat. Zh., 14:4 (2012),  32–40
19. 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
20. 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
21. On resolvability of a parabolic problem on the graph
    
    Ufimsk. Mat. Zh., 2:4 (2010),  74–84
22. The finite integral transform method for a parabolic differential equation on a graph
    
    Sibirsk. Mat. Zh., 50:2 (2009),  350–355
23. On the geometric multiplicity of the eigenvalues of a boundary value problem on a graph
    
    Vladikavkaz. Mat. Zh., 10:3 (2008),  23–28
24. Application of finite integral transformations on a graph to the solution of problems in mathematical physics
    
    Vladikavkaz. Mat. Zh., 9:4 (2007),  15–25
25. An integral transformation on a graph for a second-order differential operator
    
    Vladikavkaz. Mat. Zh., 7:2 (2005),  78–85
26. 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


27. V. A. Koibaev (on his 70th anniversary)
    
    Vladikavkaz. Mat. Zh., 27:3 (2025),  136–138
28. Alexander Ovanesovich Vatulyan (on his 70th anniversary)
    
    Vladikavkaz. Mat. Zh., 25:4 (2023),  143–147
29. In Memory of Alexei Borisovich Shabat (08.08.1937–24.03.2020)
    
    Vladikavkaz. Mat. Zh., 22:2 (2020),  100–102