On a problem for a system of two the second order differential equations via the theory of vector fields

We consider Dirichlet boundary value problem for systems of two second-order differential equations with nonlinear continuous and bounded functions in right-hand sides. We prove the existence of a nontrivial solution to the problem comparing behaviors of solutions of auxiliary Cauchy problems at zer...

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Bibliographic Details
Main Authors: Inara Yermachenko, Felix Sadyrbaev
Format: Article
Language:English
Published: Vilnius University Press 2015-04-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13532