Homoclinic solutions in periodic difference equations with mixed nonlinearities

DOI10.1002/mma.3474zbMath1348.39003OpenAlexW1933290109MaRDI QIDQ2786693

Zhan Zhou, Genghong Lin

Publication date: 23 February 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3474

zbMATH Keywords

critical point theorynonlinear difference equationhomoclinic solutionmixed nonlinearityperiodic approximation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Periodic solutions of difference equations (39A23)

Related Items (10)

Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions ⋮ Homoclinic solutions in non-periodic discrete \(\phi\)-Laplacian equations with mixed nonlinearities ⋮ Homoclinic solutions of discrete \(\phi\)-Laplacian equations with mixed nonlinearities ⋮ Periodic solutions for second-order difference equations with quadratic-supquadratic condition ⋮ Unnamed Item ⋮ Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials ⋮ Multiple solutions for boundary value problems of \(p\)-Laplacian difference equations containing both advance and retardation ⋮ Boundary value problems for a second-order difference equation involving the mean curvature operator ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities

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