Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition

In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we...

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Bibliographic Details
Published inJournal of function spaces Vol. 2021; pp. 1 - 7
Main Authors Hu, Qing-Qing, Yan, Baoqiang
Format Journal Article
LanguageEnglish
Published New York Hindawi 25.03.2021
John Wiley & Sons, Inc
Wiley
Subjects
Applied mathematics
Banach spaces
Boundary conditions
Boundary value problems
Differential equations
Stieltjes integral
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Summary:In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we obtain the existence of multiple solutions for our problem. Finally, in order to illustrate the effectiveness of our problem better, the example is listed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/6632236