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

被引：0

作者：

Vasyl Marynets

Kateryna Marynets

Oksana Kohutych

机构：

[1] Uzhhorod National University,Faculty of Mathematics and Digital Technologies

[2] Delft University of Technology,Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science

来源：

Monatshefte für Mathematik | 2023年 / 200卷

关键词：

Vector-functions; Functional matrices; Non-local boundary conditions; Comparison functions; Integro-differential equations; Differential inequalities; 35G30; 35C15; 35B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：835 / 848

页数：13

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