Nontrivial Solutions for the 2 n th Lidstone Boundary Value Problem-Reference-Cited by-同舟云学术

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Nontrivial Solutions for the 2 n th Lidstone Boundary Value Problem

Published:2020-11-04 Issue: Volume:2020 Page:1-9
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Li Yaohong¹,Xu Jiafa²^ORCID,Zan Yongli³

Affiliation:

1. School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China

2. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

3. School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, Shandong, China

Abstract

In this paper, we study the existence of nontrivial solutions for the

2 n

th Lidstone boundary value problem with a sign-changing nonlinearity. Under some conditions involving the eigenvalues of a linear operator, we use the topological degree theory to obtain our main results.

Funder

University Natural Science Foundation of Anhui Provincial Education Department

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2020/8811201.pdf

Reference33 articles.

1. Nonlinear eigenvalue problems for higher order Lidstone boundary value problems

2. Existence and uniqueness of positive solutions for a higher order boundary value problem

3. Lidstone polynomials and boundary value problems

4. Singular Lidstone boundary value problem with given maximal values for solutions

5. Solutions of 2nth Lidstone boundary value problems and dependence on higher order derivatives

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