Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 24.09.1950
E-mail:
Keywords: positive solutions, monotone solutions, Green function, singular problems, variational method, discreteness of spectrum
UDC: 517.927

Subject:

Boundary Value Problems for Functional Differential equations.

Main publications:

1. Labovskiy S.M., Getimane M´ario Frengue, “POISSON PROBLEM FOR A LINEAR FUNCTIONAL DIFFERENTIAL EQUATION”, VESTNIK TAMBOVSKOGO UNIVERSITETA. SERIYa: ESTESTVENNYE I TEKhNIChESKIE NAUKI, 21:1 (2016), 76-81 (Published online) https://elibrary.ru/download/elibrary_25584133_64638802.pdf    
2. Sergey Labovskiy, Mário Frengue Getimane, “On discreteness of spectrum and positivity of the Green’s function for a second order functional-differential operator on semiaxis”, Boundary Value Problems, 2014, 102 (Published online) https://link.springer.com/article/10.1186/1687-2770-2014-102      
3. Labovskiy, Sergey ; Getimane, Mário Frengue, “On discreteness of spectrum of a functional differential operator”, Mathematica Bohemica, 139:2 (2014), 213-229 (Published online) https://dml.cz/handle/10338.dmlcz/143850      
4. S.Labovskiy, “On positivity of Green operator for functional differential equation”, Functional Differential Equations, 19:3-4 (2012), 323–334  
5. Labovskiy S., “Small vibrations of mechanical system”, 34K10 (Boundary value problems for functional-differential equations) 34L10 (Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions (ODE)), Functional Differential Equations, 16:3 (2009), 447-468    
6. S. Labovskii, “Little vibrations of an abstract mechanical system and corresponding eigenvalue problem”, Functional Differential Equations, 6:1-2 (1999), 155–167    
7. S. Labovskii, A. Shindiapin, “On existence of nontrivial solution of a singular functional-differential equation”, Differential Equations, 5:1-2 (1998), 183–194    
8. S. M. Labovskii, “On the Sturm–Liouville problem for a linear singular functional-differential equation”, Russian Math. (Iz. VUZ), 40:11 (1996), 48–53      
9. S. M. Labovskii, “On eigenfunctions of the Sturm–Liouville problem for a functional-differential equation”, Russian Math. (Iz. VUZ), 38:6 (1994), 67–72      
10. Labovskiĭ, S.M., “Positive solutions of a two-point boundary value problem for a linear singular functional-differential equation”, Differential Equations, 24:10 (1988), 1116–1123        
11. Labovskiĭ, S.M., “Positive solutions of a two-point boundary value problem for a linear singular functional-differential equations”, Functional-differential equations, “Boundary value problems”, Interuniv. Collect. sci. Works, Perm polytekhnic institute, Perm, 1985, 39–45    
12. Labovskiĭ, S.M., “Positive solutions of linear functional differential equations”, Differential Equations, 20 (1984), 428–434          
13. Labovskiĭ, S.M., “Constancy of the sign of the Wronskian of a fundamental system, of Cauchy's function, and of Green's function of a two-point boundary-value problem for an equation with delay”, Differential Equations, 11(1975) (1976), 1328–1335          
14. Labovskiĭ, S.M., “A condition for the non-vanishing of the {Wronskian} of a fundamental system of solutions of a linear differential equation with retarded argument”, Differential Equations, 10:3 (1974), 316–319          
15. N. Azbelev} and {U. Zubko} and {S. Labovskiy, “Differential inequalities for equations with delayed argument”, Differential Equations, 9:11 (1973), 1481–1485        

Publications in Math-Net.Ru

Talks and lectures

Personal pages:

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Organisations:

• Eduardo Mondlane University, Maputo, Mozambique
• Plekhanov Russian University of Economics Moscow
• Tambov State University named after G.R. Derzhavin
• Moscow State University of Economics, Statistics and Informatics