Variational approach to second-order impulsive dynamic equations on time scales

The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also we will be interested in the solutions of the impulsive nonlinear problem with linear derivative dependence satisfying an impulsive condition.Comment: 17 page

Multiplicity of solutions for Dirichlet boundary conditions of second-order quasilinear equations with impulsive effects

This paper deals with the multiplicity of solutions for Dirichlet boundary conditions of second-order quasilinear equations with impulsive effects. By using critical point theory, a new result is obtained. An example is given to illustrate the main result

Multiple solutions for a class of perturbed second-order differential equations with impulses

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Infinitely many solutions for a boundary value problem with impulsive effects

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Critical point approaches to second-order differential systems generated by impulses

Using variational methods and critical point theory, we establish multiplicity results of solutions for second-order differential systems generated by impulses. Indeed, employing two sorts of three critical points theorems, we establish the multiplicity results for weak solutions of the problem and verify that these solutions are generated by impulses.Publisher's Versio

An Application of Variant Fountain Theorems to a Class of Impulsive Differential Equations with Dirichlet Boundary Value Condition

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