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.
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页码：835 / 848
页数：13
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