Existence results for second-order system with impulse effects via variational methods

DOI10.1007/S12190-008-0208-3zbMath1208.34032OpenAlexW1998696455MaRDI QIDQ1034968

Weigao Ge, Yu Tian, Dian-Wu Yang

Publication date: 9 November 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0208-3

zbMATH Keywords

mountain pass theorempositive solutionsvariational methodssecond-order systemimpulsive effects

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Variational principles in infinite-dimensional spaces (58E30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (8)

Variational approach to impulsive differential equations with Dirichlet boundary conditions ⋮ Existence of three solutions to impulsive differential equations ⋮ Unnamed Item ⋮ Positive periodic solutions to impulsive delay differentialequations ⋮ Existence of infinitely many solutions for fourth-order impulsive differential equations ⋮ Weak solutions for a \(p\)-Laplacian antiperiodic boundary value problem with impulsive effects ⋮ Variational method to the impulsive equation with Neumann boundary conditions ⋮ Variational approach to a singular second-order systems with impulses effects

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
• Periodic solutions of non-autonomous second-order systems with a p-Laplacian
• Critical point theory and Hamiltonian systems
• Periodic boundary value problems for a class of second-order impulsive integro-differential equations in Banach spaces
• On a three critical points theorem
• A three critical points theorem and its applications to the ordinary Dirichlet problem
• Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations
• Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
• A general multiplicity theorem for certain nonlinear equations in Hilbert spaces
• Multiple nonnegative solutions for second order impulsive differential equations.

This page was built for publication: Existence results for second-order system with impulse effects via variational methods