Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian (Q391069)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian |
scientific article; zbMATH DE number 6244000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian |
scientific article; zbMATH DE number 6244000 |
Statements
Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian (English)
0 references
9 January 2014
0 references
This paper is concerned with a \(2n\)th-order nonlinear difference equation involving the \(p\)-Laplacian. Some new sufficient conditions are obtained for the existence and multiplicity of periodic and subharmonic solutions to the equation by using critical point theory. The proof is based on the linking theorem in combination with variational techniques. The main results obtained in this paper generalize existing results in the literature.
0 references
periodic and subharmonic solutions
0 references
\(p\)-Laplacian
0 references
\(2n\)th-order nonlinear difference equation
0 references
critical point theory
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
