This paper is concerned with the existence of mild solutions for impulsive integro-differential equations with nonlocal conditions. We apply the technique measure of noncompactness in the space of piecewise continuous functions and by using Darbo-Sadovskii's fixed point theorem, we prove reasults about impulsive integro-differential equations for convex-power condensing operators.

BACKGROUND Previous research has identified only a few variables that have been associated with making an impulsive suicide attempt. The aim of the current study was to compare individuals who made an impulsive suicide attempt with those who made a premeditated attempt on both previously examined and novel characteristics. METHOD Participants were classified as making an impulsive or premedit...

Abstract In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) hybrid fractional differential equations (HFDEs) in the frame Atangana–Baleanu–Caputo ( ABC ) derivative. Making use Krasnoselskii and Banach theorems, obtain required conditions. Some appropriate Hyers–Ulam (H–U) stability corresponding considered problem are also esta...

A double integrator is controlled by discontinuous-impulsive feedback with adaptation. The gain of the impulsive control is adapted to minimize the time convergence to zero of the double integrator dynamics when the impulsive control is applied. The real case is studied to take into account the limitation of the input amplitude, the sampling of the controller and the effect of the disturbances....

In this paper, we consider a class of nonlinear impulsive delay differential equations. By establishing an exponential estimate for delay differential inequality with impulsive initial condition and employing Banach fixed point theorem, we obtain several sufficient conditions ensuring the existence, uniqueness and global exponential stability of a periodic solution for nonlinear impulsive delay...

The cone theory andmonotone iterative technique are used to investigate theminimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All the existing results obtained in previous papers on nonlocal boundary value problems are under the case of the boundary condi...

We obtain necessary conditions of optimality for impulsive Volterra integral equations with switching and impulsive controls, with variable impulse time-instants. The present work continues and complements our previous work on impulsive Volterra control with fixed impulse times.