On a novel approach for the investigation and approximation of solutions to the systems of higher order nonlinear PDEs

Journal article (2022)

Authors

Vasyl Marynets Uzhhorod National University
K. Marynets Mathematical Physics - EEMCS
Oksana Kohutych Uzhhorod National University
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2022 Vasyl Marynets, K. Marynets, Oksana Kohutych
DOI: https://doi.org/10.1007/s00605-022-01771-5
Comparison functions Differential inequalities Functional matrices Integro-differential equations Non-local boundary conditions Vector-functions
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Published Date

2022

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

Abstract

We study a boundary value problem for a system of the third order semi-linear partial differential equations with nonlocal boundary conditions. We establish sufficient conditions of existence, uniqueness, regularity and sign-preserving property of solutions of the studied problem and construct an iterative method for its approximation.