Existence of solutions for a class of second-order \(p\)-Laplacian systems with impulsive effects.

DOI10.1007/s10492-014-0071-5zbMath1340.34114OpenAlexW2099804640MaRDI QIDQ489239

Peng Chen, Xian Hua Tang

Publication date: 27 January 2015

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10492-014-0071-5

zbMATH Keywords

critical point theoryimpulsive effectsecond-order \(p\)-Laplacian Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (7)

Positive periodic solutions for a kind of first-order singular differential equation induced by impulses ⋮ Existence of periodic solutions with minimal period for fourth-order discrete systems via variational methods ⋮ Unnamed Item ⋮ Existence of solutions to boundary value problems for a class of nonlinear difference systems ⋮ Existence and multiple solutions for second-order \(p\)-Laplacian difference equations ⋮ Boundary value problems of a discrete generalized beam equation via variational methods ⋮ Existence of periodic solutions with prescribed minimal period of a \(2n\)th-order discrete system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions for a class of \(p\)-Laplacian systems with impulsive effects
• Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
• Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity
• 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
• Critical points of convex perturbations of some indefinite quadratic forms and semilinear boundary value problems at resonance
• Critical point theory and Hamiltonian systems
• On the solvability of semilinear gradient operator equations
• Periodic solutions of a class of non-autonomous second-order systems
• Periodic solutions for a class of nonautonomous second-order systems
• Saddle point characterization and multiplicity of periodic solutions of non-autonomous second-order systems
• Periodic solutions of non-autonomous second order systems with \(\gamma\)- quasisubadditive potential
• Periodic solutions of non-autonomous second order systems
• Nonlinear boundary value problems for first order impulsive functional differential equations
• Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
• Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects
• On subharmonic solutions of hamiltonian systems
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Solutions of a second-order Hamiltonian system with periodic boundary conditions
• Multiple nonnegative solutions for second order impulsive differential equations.
• Periodic solutions for second order systems with not uniformly coercive potential

This page was built for publication: Existence of solutions for a class of second-order \(p\)-Laplacian systems with impulsive effects.