Existence of multiple positive solutions for a third-order boundary value problem with nonlocal conditions

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-04-26 DOI:10.15388/namc.2023.28.32123

S. Smirnov

引用次数: 0

Abstract

We study the existence of multiple positive solutions for a nonlinear third-order differential equation subject to various nonlocal boundary conditions. The boundary conditions that we study contain Stieltjes integral and include the special cases of m-point conditions and integral conditions. The main tool in the proof of our result is Krasnosel’skii’s fixed point theorem. To illustrate the applicability of the obtained results, we consider examples.

查看原文本刊更多论文

一类具有非局部条件的三阶边值问题的多个正解的存在性

研究了一类非线性三阶微分方程在各种非局部边界条件下的多个正解的存在性。我们研究的边界条件包含Stieltjes积分，并包括m点条件和积分条件的特殊情况。证明我们的结果的主要工具是克拉斯诺塞尔的不动点定理。为了说明所得结果的适用性，我们考虑了实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.