S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems-Reference-Cited by-同舟云学术

S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems

Published:2020-01-01 Issue:1 Volume:18 Page:1658-1666
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Miao Liangying¹,Liu Jing²,He Zhiqian³

Affiliation:

1. School of Mathematics and Statistics, Qinghai Nationalities University , Xining , 810007 , P. R. China

2. The College of Ecological Environment and Resources, Qinghai Nationalities University , Xining , 810007 , P. R. China

3. Department of Basic Teaching and Research, Qinghai University , Xining , 810016 , P. R. China

Abstract

Abstract By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem. By figuring the shape of unbounded connected component of positive solutions, we show that the Neumann boundary value problem has three positive solutions suggesting suitable conditions on the weight function and nonlinearity.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0098/pdf

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