Homoclinic orbits for second order \(p\)-Laplacian difference equations containing both advance and retardation

DOI10.1007/S13398-015-0221-YzbMath1341.39002OpenAlexW2468004328MaRDI QIDQ259746

Xia Liu, Yuanbiao Zhang, Hai-Ping Shi

Publication date: 18 March 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-015-0221-y

zbMATH Keywords

homoclinic orbitssecond order\(p\)-Laplacian difference equationsadvance and retardationdiscrete variational methods

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Periodic orbits of vector fields and flows (37C27)

Related Items (5)

Homoclinic solutions of discrete \(p\)-Laplacian equations containing both advance and retardation ⋮ Existence and multiple solutions for second-order \(p\)-Laplacian difference equations ⋮ Existence of homoclinic orbits for a higher order difference system ⋮ Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD

Cites Work

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• Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions
• Existence of homoclinic orbits for \(2n\)th-order nonlinear difference equations containing both many advances and retardations
• Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation
• Homoclinic orbits for second order self-adjoint difference equations
• Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign
• Homoclinic orbits for a singular second-order neutral differential equation
• Existence of multiple solutions for a class of \(n\)-dimensional discrete boundary value problems
• Critical point theory and Hamiltonian systems
• Analysis on dynamic decision-making model of the enterprise technological innovation investment under uncertain environment
• On the generalized Apostol-type Frobenius-Euler polynomials
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Dynamic analysis of two-degree-of-freedom airfoil with freeplay and cubic nonlinearities in supersonic flow
• Infinitely many homoclinic solutions for the second-order discrete \(p\)-Laplacian systems
• Existence of nontrivial homoclinic orbits for fourth-order difference equations
• Existence of periodic and subharmonic solutions for second-order \(p\)-Laplacian difference equations
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• On the equation of turbulent filtration in one- dimensional porous media
• Existence of homoclinic solutions for some second-order discrete Hamiltonian systems
• Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations
• Infinitely many homoclinic solutions for a class of nonlinear difference equations
• Existence theorems for second order boundary value problems

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