New existence and multiplicity of solutions for some Dirichlet problems with impulsive effects

DOI10.1016/j.mcm.2011.08.046zbMath1255.34022OpenAlexW2055902387MaRDI QIDQ1930988

Peng Chen, Xian Hua Tang

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.046

zbMATH Keywords

Dirichlet boundary conditionscritical point theoryimpulsive differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (24)

Positive and nontrivial solutions to a system of first-order impulsive nonlocal boundary value problems with sign changing nonlinearities ⋮ Multiplicity of solutions for impulsive differential equation on the half-line via variational methods ⋮ Infinitely many solutions for nonlinear periodic boundary value problem with impulses ⋮ Existence and multiplicity of solutions for second-order impulsive differential equations with Dirichlet problems ⋮ Existence and nonexistence results for a \(2n\)-th order \(p\)-Laplacian discrete Dirichlet boundary value problem ⋮ Bound sets approach to impulsive Floquet problems for vector second-order differential inclusions ⋮ Bifurcation type phenomena for positive solutions of a class of impulsive differential equations ⋮ The existence of one solution for impulsive differential equations via variational methods ⋮ Existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects ⋮ Nonexistence and existence results for a class of fourth-order difference Neumann boundary value problems ⋮ Existence of homoclinic solutions for a class of second order \(p\)-Laplacian systems with impulsive effects ⋮ Boundary value problems of a discrete generalized beam equation via variational methods ⋮ Nonexistence and existence results for a \(2n\)th-order discrete mixed boundary value problem ⋮ Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications ⋮ Solutions and nonnegative solutions for a weighted variable exponent impulsive integro-differential system with multi-point and integral mixed boundary value problems ⋮ Infinitely many solutions for a boundary value problem with impulsive effects ⋮ Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem ⋮ Nonexistence and existence results for a class of fourth‐order difference Dirichlet boundary value problems ⋮ Nonexistence and existence results for a class of fourth-order difference mixed boundary value problems ⋮ Nonexistence and existence results for a fourth-order \(p\)-Laplacian discrete Neumann boundary value problem ⋮ Periodic solutions for fourth‐order nonlinear functional difference equations ⋮ Periodic and subharmonic solutions for second-order nonlinear difference equations ⋮ New results for some damped Dirichlet problems with impulses ⋮ Nonexistence and existence results for a fourth-order \(p\)-Laplacian discrete mixed boundary value problem

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