EXISTENCE OF GLOBAL SOLUTIONS FOR 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.

Impulsive Functional-differential Equations with Nonlocal Conditions

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 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...

Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions

In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for a class of impulsive integro-differential equations with nonlocal conditions involving the Caputo fractional derivative.