Boundary value problems for \(2n\)-order \(\phi_c\)-Laplacian difference equations containing both advance and retardation

DOI10.1016/j.aml.2014.10.006zbMath1312.39013OpenAlexW1975491155MaRDI QIDQ2343783

Meiting Su, Zhan Zhou

Publication date: 6 May 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.10.006

zbMATH Keywords

critical point theoryboundary value problem\(\phi_c\)-Laplacian difference equation\(2n\)-order

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (25)

Periodic and subharmonic solutions for \(2n\)th-order \(\phi_c\)-Laplacian difference equations containing both advance and retardation ⋮ Three positive solutions for a nonlinear partial discrete Dirichlet problem with \((p,q)\)-Laplacian operator ⋮ On variational and topological methods in nonlinear difference equations ⋮ Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving \(p\)-Laplacian ⋮ Existence of solutions to boundary value problems for a class of nonlinear difference systems ⋮ Positive solutions for a class of discrete mixed boundary value problems with the \(\left( p, q\right)\)-Laplacian operator ⋮ Positive solutions for discrete Minkowski curvature systems of the Lane-Emden type ⋮ Multiple solutions for boundary value problems of \(p\)-Laplacian difference equations containing both advance and retardation ⋮ Existence and multiple solutions for second-order \(p\)-Laplacian difference equations ⋮ Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients ⋮ Multiple positive solutions of second-order nonlinear difference equations with discrete singular φ-Laplacian ⋮ Infinitely many positive solutions for a discrete two point nonlinear boundary value problem with \(\phi_c\)-Laplacian ⋮ Periodic solutions with minimal period for fourth-order nonlinear difference equations ⋮ Nontrivial periodic solutions to delay difference equations via Morse theory ⋮ Periodic and subharmonic solutions for a \(2n\)th-order \(p\)-Laplacian difference equation containing both advances and retardations ⋮ Infinitely many solutions for discrete boundary value problems with the \((p, q)\)-Laplacian operator ⋮ On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator ⋮ On the multiplicity of solutions for the discrete boundary problem involving the singular \(\phi\)-Laplacian ⋮ Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator ⋮ Positive solutions of the discrete Dirichlet problem involving the mean curvature operator ⋮ Infinitely many positive solutions for a coupled discrete boundary value problem ⋮ Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation ⋮ Positive solutions for some discrete semipositone problems via bifurcation theory ⋮ Positive solutions of the discrete Robin problem with \(\phi\)-Laplacian ⋮ Multiple solutions of fourth-order difference equations with different boundary conditions

Cites Work

• Solvability of boundary value problems with Riemann-Stieltjes \(\Delta\)-integral conditions for second-order dynamic equations on time scales at resonance
• Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach
• Multiple solutions for boundary value problems of second-order difference equations with resonance
• Nontrivial solutions of boundary value problems of second-order difference equations
• Existence and multiple solutions for a second-order difference boundary value problem via critical point theory
• On boundary value problems for second order nonlinear functional difference equations
• Solutions of \(2n\)th-order boundary value problem for difference equation via variational method
• Positive periodic solutions for nonlinear difference equations with periodic coefficients
• Existence of multiple solutions for second-order discrete boundary value problems
• Boundary value problems for fourth order nonlinear \(p\)-Laplacian difference equations
• Existence and uniqueness results for discrete second-order periodic boundary value problems
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Bifurcation of positive solutions of a nonlinear discrete fourth-order boundary value problem
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
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