An application of variant fountain theorems to a class of impulsive differential equations with Dirichlet boundary value condition
type: Item
instance of: scholarly article
title: An application of variant fountain theorems to a class of impulsive differential equations with Dirichlet boundary value condition
zbMATH Open document ID: 1470.34079
DOI: 10.1155/2014/487952
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We consider the existence of infinitely many classical solutions to a class of impulsive differential equations with Dirichlet boundary value condition. Our main tools are based on variant fountain theorems and variational method. We study the case in which the nonlinearity is sublinear. Some recent results are extended and improved.
Mathematics Subject Classification ID: 34B37
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 7022474
Wikidata QID: Q59038693
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/487952
OpenAlex ID: W2129425259
cites work: A note on controllability of impulsive systems
cites work: Necessary and sufficient conditions for optimal impulsive rendezvous with linear equations of motion
cites work: COMPLEX DYNAMICS OF ONE-PREY MULTI-PREDATOR SYSTEM WITH DEFENSIVE ABILITY OF PREY AND IMPULSIVE BIOLOGICAL CONTROL ON PREDATORS
cites work: Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft
cites work: Q3995625
cites work: Q5488741
cites work: A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem
cites work: Boundary value problem for second-order impulsive functional differential equations
cites work: On the solvability of periodic boundary value problems with impulse
cites work: Impulsive periodic boundary value problems of first-order differential equations
cites work: Existence results for abstract impulsive second-order neutral functional differential equations
cites work: Variational approach to impulsive differential equations
cites work: APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
cites work: An application of variational methods to Dirichlet boundary value problem with impulses
cites work: Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects
cites work: Variational method to the impulsive equation with Neumann boundary conditions
cites work: Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems
cites work: Critical point theory and Hamiltonian systems
cites work: Q3749777
cites work: Variant fountain theorems and their applications
cites work: Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
Recommended article: Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems
Recommended article: Variational approach to impulsive differential equations with Dirichlet boundary conditions
Recommended article: An application of variational method to a class of Dirichlet boundary value problems with impulsive effects
Recommended article: APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
Recommended article: An application of variational methods to Dirichlet boundary value problem with impulses
Recommended article: Applications of variational methods to the impulsive equation with non-separated periodic boundary conditions
Recommended article: Variational approach to some damped Dirichlet nonlinear impulsive differential equations
Recommended article: Variational approach to a class of impulsive differential equations
Recommended article: Existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions
Recommended article: Multiple solutions of nonlinear impulsive differential equations with Dirichlet boundary conditions via variational method
description: scientific article; zbMATH DE number 7022474