Solvability of a kind of Sturm-Liouville boundary value problems with impulses via variational methods

DOI10.1007/s10440-009-9504-7zbMath1194.34040OpenAlexW1987483673MaRDI QIDQ970513

Li Zhang, Weigao Ge

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9504-7

zbMATH Keywords

boundary value problem\(p\)-LaplacianSturm-Liouvillevariational

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (8)

Multiplicity of solutions for impulsive differential equation on the half-line via variational methods ⋮ An application of variational method to second-order impulsive differential equation on the half-line ⋮ CRITICAL POINT APPROACHES FOR IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE ⋮ Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance ⋮ Existence and multiplicity of periodic solutions generated by impulses ⋮ Three solutions for a perturbed Navier problem ⋮ Variational approaches to impulsive elastic beam equations of Kirchhoff type ⋮ MULTIPLICITY OF SOLUTIONS FOR A FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA VARIATIONAL METHODS

Cites Work

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• A minimax inequality and its applications to ordinary differential equations
• Three solutions for a quasilinear boundary value problem
• A three critical points theorem revisited
• Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft
• On a three critical points theorem
• Controllability of the Vallée-Poussin problem for impulsive differential systems
• A note on controllability of impulsive systems
• Pest regulation by means of impulsive controls
• Multiple positive solutions of singular problems by variational methods
• Existence of three solutions for a class of elliptic eigenvalue problems

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