具有非局部积分边界条件的两参数非线性椭圆方程

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2022-11-10 DOI:10.3846/mma.2022.16209

Kristina Pupalaigė, M. Sapagovas, R. Čiupaila

{"title":"具有非局部积分边界条件的两参数非线性椭圆方程","authors":"Kristina Pupalaigė, M. Sapagovas, R. Čiupaila","doi":"10.3846/mma.2022.16209","DOIUrl":null,"url":null,"abstract":"In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method. The main aim of this paper is to investigate the conditions under those all eigenvalues of corresponding difference eigenvalue problem are positive. For this purpose, we investigate the spectrum structure of one-dimensional difference eigenvalue problem with integral condition. In particular, conditions of the existence and some properties of negative eigenvalue are analyzed in details.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":"1 1","pages":"610-628"},"PeriodicalIF":1.6000,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonlinear Elliptic equation with nonlocal integral boundary condition depending on two parameters\",\"authors\":\"Kristina Pupalaigė, M. Sapagovas, R. Čiupaila\",\"doi\":\"10.3846/mma.2022.16209\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method. The main aim of this paper is to investigate the conditions under those all eigenvalues of corresponding difference eigenvalue problem are positive. For this purpose, we investigate the spectrum structure of one-dimensional difference eigenvalue problem with integral condition. In particular, conditions of the existence and some properties of negative eigenvalue are analyzed in details.\",\"PeriodicalId\":49861,\"journal\":{\"name\":\"Mathematical Modelling and Analysis\",\"volume\":\"1 1\",\"pages\":\"610-628\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2022-11-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Modelling and Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3846/mma.2022.16209\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Modelling and Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3846/mma.2022.16209","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文用有限差分法求解了具有边界积分条件的二维非线性椭圆方程。本文的主要目的是研究相应差分特征值问题的所有特征值都为正的条件。为此，我们研究了具有积分条件的一维差分特征值问题的谱结构。特别地，详细地分析了负特征值的存在条件和一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Nonlinear Elliptic equation with nonlocal integral boundary condition depending on two parameters

In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method. The main aim of this paper is to investigate the conditions under those all eigenvalues of corresponding difference eigenvalue problem are positive. For this purpose, we investigate the spectrum structure of one-dimensional difference eigenvalue problem with integral condition. In particular, conditions of the existence and some properties of negative eigenvalue are analyzed in details.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊