Discrete boundary value problems involving oscillatory nonlinearities: small and large solutions

DOI10.1080/10236190903555245zbMath1236.39010OpenAlexW1995943215MaRDI QIDQ3093753

Mihai Mihăilescu, Alexandru Kristály, Vicenţiu D. Rădulescu

Publication date: 18 October 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903555245

zbMATH Keywords

difference equationssmall solutionsdiscrete boundary value problemlarge solutionsoscillatory nonlinearitiesdirect variational methodnon-negative distinct solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Oscillation theory for difference equations (39A21)

Related Items (18)

Existence of solutions for \(p\)-Laplacian discrete equations ⋮ On variational and topological methods in nonlinear difference equations ⋮ A variational approach to perturbed discrete anisotropic equations ⋮ Multiplicity results for discrete anisotropic equations ⋮ Existence of solutions for a nonlinear algebraic system with a parameter ⋮ Three solutions to a perturbed nonlinear discrete Dirichlet problem ⋮ On sequences of solutions for discrete anisotropic equations ⋮ Algebraic systems with Lipschitz perturbations ⋮ Three solutions for a discrete nonlinear Neumann problem involving the \(p\)-Laplacian ⋮ A variational approach to difference equations ⋮ Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem ⋮ Non-trivial solutions for a discrete nonlinear boundary value problem with $phi_c$-Laplacian ⋮ Multiplicity results for a \(p\)-Laplacian discrete problems of Kirchhoff type ⋮ An existence result for discrete anisotropic equations ⋮ On an anisotropic discrete boundary value problem of Kirchhoff type ⋮ Infinitely many solutions for perturbed difference equations ⋮ Discrete elliptic Dirichlet problems and nonlinear algebraic systems ⋮ Multiple solutions for partial discrete Dirichlet problems depending on a real parameter

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