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

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...

An Existence Result for Second-Order Impulsive Differential Equations with Nonlocal Conditions

The theory of impulsive differential equations is emerging as an important area of investigation since it is a lot richer than the corresponding theory of nonimpulsive differential equations. Many evolutionary processes in nature are characterized by the fact that at certain moments in time an abrupt change of state is experienced. That is the reason for the rapid development of the theory of i...

Impulsive Functional-differential Equations with Nonlocal Conditions

Existence Results for Fractional Impulsive Neutral Functional Differential Equations

This paper is mainly concerned with the existence of solutions of impulsive fractional neutral functional differential equations in Banach Spaces. The results are obtained by using Krasnoselskii’s fixed point theorem.

Existence Results for Partial Neutral Functional Differential Equations with Nonlocal Conditions

where A is the infinitesimal generator of an analytic semigroup of bounded linear operators, (T (t))t≥0, on a Banach space X; the histories xt : (−∞, 0] → X, xt(θ) = x(t + θ), belongs to some abstract phase space B defined axiomatically; Ω ⊂ B is open; 0 ≤ σ < T ; σ < t0 < t1 < .... < tn ≤ T ; and q : Bn → B; F, G : [σ, T ] × Ω → X are appropriate continuous functions. There exist a extensive l...