Applications of variational methods to Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations

DOI10.1002/MMA.2787zbMath1291.34058OpenAlexW2087901149MaRDI QIDQ2874189

Yu Tian, Xian-bin Liu

Publication date: 29 January 2014

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

Full work available at URL: https://doi.org/10.1002/mma.2787

zbMATH Keywords

variational methodsfourth orderSturm-Liouville boundary value problemimpulses at fixed times

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential equations with impulses (34A37) Sturm-Liouville theory (34B24) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (6)

Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters ⋮ Variational techniques for a system of Sturm-Liouville equations ⋮ Existence of solutions for a sixth-order nonlinear equation ⋮ Infinitely many periodic solutions for fourth-order impulsive differential equation with oscillatory nonlinear term ⋮ Existence of infinitely many solutions for fourth-order impulsive differential equations ⋮ Two homoclinic solutions of a nonperiodic fourth-order impulsive differential equation

Cites Work

• Variational methods to mixed boundary value problem for impulsive differential equations with a parameter
• Variational approach to impulsive differential equations
• Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects
• The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method
• Multiplicity results for Sturm-Liouville boundary value problems
• Variational method to the impulsive equation with Neumann boundary conditions
• Variational approach to impulsive differential equations with periodic boundary conditions
• An application of variational methods to Dirichlet boundary value problem with impulses
• Variational methods to Sturm-Liouville boundary value problem for impulsive differential equations
• Variational methods to fourth-order impulsive differential equations
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS

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