Existence results for impulsive differential equations with nonlocal conditions via measures of noncompactness

Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions

The study of impulsive functional differential equations is linked to their utility in simulating processes and phenomena subject to short-time perturbations during their evolution. The perturbations are performed discretely and their duration is negligible in comparison with the total duration of the processes. That is why the perturbations are considered to take place “instantaneously” in the...

Impulsive Functional-differential Equations with Nonlocal Conditions

Existence of Global Solutions for Impulsive Functional Differential Equations with Nonlocal Conditions

In this paper, we study the existence of global solutions for a class of impulsive abstract functional differential equation with nonlocal conditions. The results are obtained by using the Leray-Schauder alternative fixed point theorem. An example is provided to illustrate the theory.

Existence of Solutions for Hadamard Fractional Hybrid Differential Equations with Impulsive and Nonlocal Conditions

In this paper, we study the existence of solution for Hadamard Fractional Hybrid Differential equations with impulsive and nonlocal conditions. The main result is proved by means of a fixed point theorem. Finally, an example is also presented.

Existence of Mild Solution for Impulsive Stochastic Differential Equations with Nonlocal Conditions

This paper is concerned with the existence of mild solution for impulsive stochastic differential equations with nonlocal conditions in PC -norm. Our approach is based on Krasnoselskii fixed point theorem. Mathematics subject classification (2010): 34K50, 60H15.