An application of variational method to a class of Dirichlet boundary value problems with impulsive effects

DOI10.1016/j.jfranklin.2011.08.003zbMath1266.34044OpenAlexW2049429069MaRDI QIDQ430202

Liang Bai, Binxiang Dai

Publication date: 21 June 2012

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.08.003

Mathematics Subject Classification ID

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

Related Items (14)

Multiple solutions for a class of perturbed second-order differential equations with impulses ⋮ The existence of one solution for impulsive differential equations via variational methods ⋮ Existence of solutions for Sturm-Liouville boundary value problem of impulsive differential equations ⋮ Homoclinic solutions for Hamiltonian system with impulsive effects ⋮ Existence of nonzero solutions for a class of damped vibration problems with impulsive effects. ⋮ Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems ⋮ Infinitely many periodic solutions for a class of perturbed second-order differential equations with impulses ⋮ Multiple periodic solutions for a class of second-order neutral impulsive functional differential equations ⋮ Infinitely many solutions for a boundary value problem with impulsive effects ⋮ Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions ⋮ Variational approaches to impulsive elastic beam equations of Kirchhoff type ⋮ Homoclinic orbits for Hamiltonian systems induced by impulses ⋮ Variational approach to a singular second-order systems with impulses effects ⋮ Existence of three distinct solutions to boundary value problems of nonlinear differential equations with a \(p\)-Laplacian operator

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