Journal of Siberian Federal University. Mathematics & Physics / Solvability of One Nonlinear Boundary-value Problem for a System of Differential Equations of the Theory of Shallow Timoshenko-type Shells

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (2)
Authors
Ahmadiev, Marat G.; Timergaliev, Samat N.; Kharasov, Lilya S.
Contact information
Ahmadiev, Marat G.:Naberezhnye Chelny Institute, Kazan Federal University Suumbike, 10A, Naberezhnye Chelny, 423812; Russia; Timergaliev, Samat N.:Naberezhnye Chelny Institute, Kazan Federal University Suumbike, 10A, Naberezhnye Chelny, 423812; Russia; ; Kharasov, Lilya S.:Naberezhnye Chelny Institute, Kazan Federal University Suumbike, 10A, Naberezhnye Chelny, 423812; Russia;
Keywords
system of nonlinear differential equations; equilibrium equations; integral representations; existence theorem
Abstract

Solvability of a system of nonlinear second order partial differential equations with given initial conditions is considered in the paper. Reduction of the initial system of equations to one nonlinear operator equation is used to study the problem. The solvability is established with the use of the principle of contracting mappings

Pages
131–143
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/20236