3,915 research outputs found
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
Almost periodic evolution systems with impulse action at state-dependent moments
We study the existence of almost periodic solutions for semi-linear abstract
parabolic evolution equations with impulse action at state-dependent moments.
In particular, we present conditions excluding the beating phenomenon in these
systems. The main result is illustrated with an example of impulsive diffusive
logistic equation.Comment: 16 pages, minor changes from the previous versio
Solvability for second order nonlinear impulsive boundary value problems
In this paper, we are concerned with the solvability for a class of second order nonlinear impulsive boundary value problem. New criteria are established based on Schaefer's fixed-point theorem. An example is presented to illustrate our main result. Our results essentially extend and complement some previous known results
Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions
AbstractIn this paper we deal with nonlinear second-order boundary value problems with impulses. The impulsive functions depend implicitly on the different considered variables and the boundary value conditions are nonlinear. In both cases functional dependence on the solution is allowed. The existence results follow from the existence of a pair of well-ordered lower and upper solutions
Existence and uniqueness of positive solutions to three-point boundary value problems for second order impulsive differential equations
Using a fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to three-point boundary value problems for second order impulsive differential equations
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