Existence results for an impulsive neutral functional differential equation with state-dependent delay

Controllability of Second-Order Impulsive Functional Differential Equations With State-Dependent Delay

“…The reader is referred to [1,4,5,7,8,[11][12][13][14]32] and references therein for some examples and applications. The problem of the existence of solutions of functional differential equations with state-dependent delay has been treated recently in [2,[16][17][18][19][20]25]. The literature related to second order nonlinear systems with state-dependent delay is not vast, to our knowledge, in the recent works [6,15].…”

Existence of a mild solution for an impulsive nonlocal non-autonomous neutral functional differential equation

“…In [1], authors have considered a class of abstract impulsive mixedtype non-autonomous functional integro-differential equations with finite delay in a Banach space and obtained sufficient conditions for controllability of considered system by virtue of semigroup theory via Mönch fixed point theorem technique and measures of noncompactness. In [2], authors have extended the results of [3,4] and derived a sufficient condition for existence of mild solution by mean of Leray-Schauder alternative theorem. The sufficient condition for controllability of semilinear evolution integro-differential system has been obtained by authors in [5].…”

“…For more details on non-autonomous differential equations, we refer to monograph [21,22], and papers [1][2][3][4][5][6][7][8]11,12,26,27,[29][30][31][32][33][34][35] and references cited therein.…”

Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays

“…These perturbations occurs in the form of impulses (see [8,14]). There is much notice in the field of impulsive differential equations [1,7] and the references therein.…”