Solutions to a boundary value problem of a fourth-order impulsive differential equation

DOI10.1186/1687-2770-2013-154zbMath1297.34038OpenAlexW2121063309WikidataQ59301226 ScholiaQ59301226MaRDI QIDQ2251335

Jingli Xie, Zhi-guo Luo

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-154

zbMATH Keywords

boundary value problemimpulsive differential equationscritical point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems with impulses for ordinary differential equations (34B37) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (13)

Infinitely Many Solutions to a Fourth-Order Impulsive Differential Equation with Two Control Parameters ⋮ Existence results for a kind of fourth-order impulsive integral boundary value problems ⋮ Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations ⋮ Existence of infinitely many periodic solutions for perturbed semilinear fourth-order impulsive differential inclusions ⋮ Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations ⋮ Infinitely many solutions for a class of fourth-order impulsive differential equations ⋮ Multi-parameter fourth order impulsive integral boundary value problems with one-dimensional \(m\)-Laplacian and deviating arguments ⋮ Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions ⋮ Homoclinic solutions for a class of the second-order impulsive Hamiltonian systems ⋮ Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator ⋮ Three solutions for fourth-order impulsive differential inclusions via nonsmooth critical point theory ⋮ Existence of solutions of a second-order impulsive differential equation ⋮ Periodic and subharmonic solutions for a class of the second-order Hamiltonian systems with impulsive effects

Cites Work

• A critical point theorem via the Ekeland variational principle
• Subharmonic solutions for a class of non-quadratic second order Hamiltonian systems
• On the discrete boundary value problem for anisotropic equation
• Non-trivial solutions for nonlinear fourth-order elastic beam equations
• Variational approach to impulsive differential equations
• Existence and multiplicity of solutions for fourth-order boundary value problems with param\-eters
• Multiple solutions of some nonlinear fourth-order beam equations
• Variational approach to impulsive differential equations with periodic boundary conditions
• An application of variational methods to Dirichlet boundary value problem with impulses
• Existence and uniqueness theorems for fourth-order boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem
• Periodic solutions for ordinary differential equations with sublinear impulsive effects
• Singular boundary value problems for first and second order impulsive differential equations
• Impulsive boundary value problems with nonlinear boundary conditions
• Variational methods to fourth-order impulsive differential equations
• Existence and uniqueness theorems for the bending of an elastic beam equation

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