Existence of mild solutions to partial neutral differential equations with non-instantaneous impulses

Existence of Mild Solutions to Partial Differential Equations with Non-instantaneous Impulses

In this article, we study the existence of piecewise-continuous mild solutions for the initial value problems for a class of semilinear evolution equations. These equations have non-instantaneous impulses in Banach spaces and the corresponding solution semigroup is noncompact. We assume that the nonlinear term satisfies certain local growth condition and a noncompactness measure condition. Also...

Existence and Stability of Mild Solutions to Impulsive Stochastic Neutral Partial Functional Differential Equations

In this article, we study a class of impulsive stochastic neutral partial functional differential equations in a real separable Hilbert space. By using Banach fixed point theorem, we give sufficient conditions for the existence and uniqueness of a mild solution. Also the exponential p-stability of a mild solution and its sample paths are obtained.

Mild Solutions of Neutral Stochastic Partial Functional Differential Equations

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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Existence of solutions to neutral differential equations with deviated argument

In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space X. With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.