Anti-periodic solutions for a higher order difference equation with \(p\)-Laplacian

DOI10.1515/jaa-2017-0015zbMath1386.39002OpenAlexW2770246523MaRDI QIDQ1684035

Kaitlin Rizzo, Nicholas Russell, Lingju Kong, Jacob Parsley

Publication date: 4 December 2017

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2017-0015

zbMATH Keywords

difference equationsanti-periodic solutionsvariational approacheshigher order

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General theory of difference equations (39A05)

Related Items (4)

Existence of multiple anti-periodic solutions for a higher order nonlinear difference equation ⋮ Homoclinic solutions for a higher order difference equation ⋮ Positive solutions for a class of singular discrete Dirichlet problems with a parameter ⋮ Existence of multiple solutions to a discrete boundary value problem with mixed periodic boundary conditions

Cites Work

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• Three anti-periodic solutions for second-order impulsive differential inclusions via nonsmooth critical point theory
• Anti-periodic boundary value problem for first order impulsive delay difference equations
• The method of lower and upper solutions for periodic and anti-periodic difference equations
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Lacunary interpolation by antiperiodic trigonometric polynomials
• On trigonometric and paratrigonometric Hermite interpolation
• On the existence of periodic solutions to nonlinear abstract parabolic equations
• A general variational principle and some of its applications
• Anti-periodic solutions for high-order cellular neural networks with mixed delays and impulses
• Simple and double eigenvalues of the Hill operator with a two-term potential
• Anti-periodic solutions of higher order nonlinear difference equations: a variational approach
• Anti-periodic solutions for a gradient system with resonance via a variational approach
• Anti-periodic Boundary Value Problem for Impulsive Differential Equations with Delay
• Anti-periodic boundary value problems for higher order differential equations in Hilbert spaces
• Anti-periodic boundary value problems for nonlinear higher order functional difference equations

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