[PDF] Top 20 Existence Results for Semilinear Functional Differential System with Nonlocal Conditions

... sufficient conditions are given for the existence of partial functional differential equations with nonlocal conditions in an abstract space with the help of the fixed point ... See full document

... the existence results for an impulsive non-autonomous neutral integro-differential systems with nonlocal conditions in Banach space ... See full document

... The organization of this work is as follows. In Section , we recall some definitions and facts about set-valued analysis and the measure of noncompactness. In Section , we give the existence of mild solutions of ... See full document

... partial differential equations, which represent much of the continuum ...sandwich system identification, materials with fading memory, mathemati- cal modeling of the diffusion of discrete particles in a ... See full document

... “Existence results” section, we study the existence of at least one continuous mild solution to Problem (1) by applying the nonlinear alternative fixed point theorem of Leray- Schauder type, and we ... See full document

... decades, existence problem for differential in- clusions has attracted much ...the existence results for differential and integrodifferential inclusions have been extensively studied by several ... See full document

... The existence, controllability, and other qualitative and quantitative attributes of stochastic FDEs are the most advancing area of interest; for instance, see [, , –, ...the existence and ... See full document

... derivative; nonlocal conditions; strip; existence; fixed point 1 Introduction The study of fractional-order differential equations supplemented with a variety of initial and boundary conditions, ... See full document

... impulsive semilinear differential inclusions. We establish existence results by using Martelli’s fixed point theorem with upper and lower solutions ... See full document

... where ρ(A) is the resolvent set of A and I is the identity operator. Existence and unique- ness, among other things, are derived. See, for example, the books of Heikkila and Lak- shmikantham [9], Kamenskii et al. ... See full document

... Pozo, Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions, Abstract and Applied Analysis, ...for functional differential ... See full document

... Abstract In this paper, the existence of solutions for differential inclusions of fractional order q ∈ (1, 2] with nonlocal strip conditions is investigated. Our study includes two cases: (i) the ... See full document

... Abstract In this paper, we shall study a nonlinear fractional differential equation with nonlocal integral boundary conditions. We have used fixed point theorems and Laray-Schauder nonlinear ... See full document

... the existence and uniqueness of mild solutions for impulsive neutral stochastic differential equations with nonlocal conditions in Hilbert ...The results are obtained by using ... See full document

... the existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions in Hilbert ...partial differential equation with nonlocal ... See full document

... the existence of solutions for fractional differential equations of arbitrary order with nonlocal integral boundary ...The existence results are obtained by applying Krasnoselskii’s fixed point ... See full document

... the existence of at least one positive solution to a class of singular semipositone coupled system of nonlocal boundary value ...the system possesses at least one positive solution by using ... See full document

... the existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for impulsive functional- differential evolution ...The results for semilinear ... See full document

... the existence of PC-mild solutions of nonlocal impulsive differential inclu- sions in Banach space when the values of the orient field is convex ...and results of semilinear ... See full document

... the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in Banach ...restricted conditions on a priori ... See full document