NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS-Reference-Cited by-同舟云学术

NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS

Published:2022-11-10 Issue:4 Volume:27 Page:610-628
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Pupalaigė Kristina¹,Sapagovas Mifodijus²,Čiupaila Regimantas³^ORCID

Affiliation:

1. Department of Applied Mathematics, Kaunas University of Technology, Studentų g. 50, LT-51368 Kaunas, Lithuania; Kaunas University of Applied Engineering Sciences, Tvirtovės al. 35, LT-50155 Kaunas, Lithuania

2. Institute of Data Science and Digital Technologies, Vilnius University, Akademijos g. 4, LT-08412 Vilnius, Lithuania

3. Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, Lithuania

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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1. ON THE SPECTRUM STRUCTURE FOR ONE DIFFERENCE EIGENVALUE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS;Mathematical Modelling and Analysis;2023-09-04

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