[PDF] Top 20 Functional differential equations with infinite delay in Banach spaces
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Functional differential equations with infinite delay in Banach spaces
... differential equation with infinite delay in a Banach space and the exponential stability of the solution semigroup of the corresponding linear equation, and found that the exponential s[r] ... See full document
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Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps
... stochastic functional differential equations with infinite delay and Poisson jumps under non-Lipschitz condition with Lipschitz condition being considered as a special case by means of ... See full document
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On the controllability of some partial functional integrodifferential equations with infinite delay in Banach spaces
... Abstract. This work concerns the study of the controllability for some partial functional integrodifferential equa- tion with infinite delay in Banach spaces. We give sufficient ... See full document
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Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
... However, to obtain interesting qualitative results, a concrete choice should be made on a space that verifies additional properties which are essential to investigate the equation. A class of employed spaces is ... See full document
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Some existence and uniqueness results for first order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces
... The notion of the phase space Ꮾ plays an important role in the study of both the qualitative and quantitative theory of functional differential equations. A usual choice is a seminormed space satisfying ... See full document
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The Kneser property for abstract retarded functional differential equations with infinite delay
... To apply this result to the set formed by the solutions of a certain equa- tion, the following version is more convenient. Afterwards X denotes a Banach space, I ⊆ R is a compact interval, and C(I; X) stands for ... See full document
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Stability for Functional Differential Equations with Delay in Banach Spaces
... In this paper, using Sadovskii’s fixed point theorem and properties of the measure of noncompactness, we obtain asymptotic stability results for solu- tions of nonlinear differential equation with variable ... See full document
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Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
... neutral functional differential equations with infinite delay by using the Caputo fractional derivative, Hausdorff ’s measure of noncompactness and the theory of ... See full document
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Exponential stability for abstract linear autonomous functional differential equations with infinite delay
... KEY WORDS AND PHRASES: Exponentially stable, solution semigroup, abstract linear autonomous functional differential equation, fundamental operator, fading memory space.. INTRODUCTION oo,[r] ... See full document
5
On the controllability of fractional functional integro differential systems with an infinite delay in Banach spaces
... fractional functional integro-differential systems with infinite delay by using Mönch’s fixed point theorem via MNC properties and an abstract phase space have not been stud- ied ...infinite delay of the ... See full document
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Existence results for fractional neutral functional integro differential evolution equations with infinite delay in Banach spaces
... Recently, the existence of solutions for fractional semilinear differential or integro- differential equations is one of the theoretical fields investigated by many authors [, –]. Very recently, Ji et al. [] ... See full document
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A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay
... in functional analysis. In particular, for Banach spaces (Z, k·k), (W, k·k w ), the notation L(Z, W ) stands for the Banach space of bounded linear operators from Z into W and we abbreviate to ... See full document
14
A note on the existence and uniqueness of the solutions to SFDES
... stochastic functional differential equations with infinite delay at phase space BC ((-∞, 0]: R d ) which denotes the family of bounded continuous R d -valued functions defined on (-∞, ... See full document
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BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS VIA LYAPUNOV FUNCTIONAL
... Differential equations with impulsive effect provide mathematical models for many phenomena and processes in the field of natural sciences and ...of functional differential systems has come ... See full document
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Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro differential Evolution Equations with Infinite Delay
... with infinite delay via fractional operators and ...stochastic functional differential equations with infi- nite delay, then ...ear functional differential ... See full document
7
The method of averaging and functional differential equations with delay
... differential equations with a small parameter is the method of averaging, which is well known for ordinary differential equations [1, 9, 13, 14] and for functional differential equations with ... See full document
15
Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay
... Using the Kuratowski measure of noncompactness and progressive estimation method, we obtain the existence results of mild solutions for impulsive partial neutral second-order functional integro-differential ... See full document
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Existence of solutions to nonlinear fractional differential equations with boundary conditions on an infinite interval in Banach spaces
... differential equations in a Banach space with boundary conditions on an infinite interval and provide sufficient conditions for the existence of solutions of the ... See full document
20
Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay
... fractional differential equations of neutral type with nonlocal conditions and infinite delay in Hilbert spaces by employing fractional calculus and Krasnoselski-Schaefer fixed point ... See full document
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1. Existence and uniqueness of quasilinear impulsive functional differential equation
... Several authors have studied the existence of solutions of abstract nonlinear impulsive evolution equations in Banach space[1, 3, 5, 6, 9, 10, 11, 12, 15, 16, 20, 21], D.J.Guo, V.Lakshimikantham and X.Z.Liu ... See full document
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