A priori estimate and existence of solutions with symmetric derivatives for a third-order boundary value problem

被引：0

作者：

Smirnov, Sergey ^{[1
,2
]}

机构：

[1] Univ Latvia, Inst Math & Comp Sci, Riga, Latvia

[2] Univ Latvia, Fac Sci & Technol, Riga, Latvia

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2025年 / 30卷 / 01期

关键词：

nonlinear boundary value problems; a priori estimate of solutions; existence of solutions; unique- ness of solution; Leray-Schauder continuation principle; STURM-LIOUVILLE PROBLEM; POSITIVE SOLUTIONS; UNIQUENESS;

D O I：

10.3846/mma.2025.21412

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a priori estimate, existence, and uniqueness of solutions with symmetric derivatives for a third-order boundary value problem. The main tool in the proof of our existence result is Leray-Schauder continuation principle. Two examples are included to illustrate the applicability of the results.

引用

页码：159 / 168

页数：10

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