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[PDF] Top 20 Exponential stability for abstract linear autonomous functional differential equations with infinite delay

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Exponential stability for abstract linear autonomous functional differential equations with infinite delay

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

Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments

Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments

... robust exponential stability of uncertain random impulsive linear and nonlinear in- finite delay differential systems by using the method of variation of ... See full document

12

Results on Exponential Stability of Impulsive Functional Differential Equation with Infinite or Finite Delays

Results on Exponential Stability of Impulsive Functional Differential Equation with Infinite or Finite Delays

... time delay exists in various fields in our society; due to this reason the systems with time delay have received major attention in recent ...with infinite delay deserve study because they ... See full document

6

Functional differential equations with infinite delay in Banach spaces

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

12

Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay

Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay

... of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett ...the linear part is not necessarily densely defined but satisfies ... See full document

13

Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro differential Evolution Equations with Infinite Delay

Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro differential Evolution Equations with Infinite Delay

... note L(K, H ) be the set of all linear bounded operator from K into H , equipped with the usual operator norm k·k. In this article, we use the symbol k · k to denote norms of operator regardless of the space ... See full document

7

ON FUNDAMENTAL SOLUTION FOR AUTONOMOUS LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

ON FUNDAMENTAL SOLUTION FOR AUTONOMOUS LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

... an autonomous linear retarded functional differential equation (RFDE) along with its supporting cast of actors: kernel matrix, char- acteristic matrix, resolvent matrix, and the Laplace ... See full document

34

Almost sure exponential stability of stochastic differential delay equations

Almost sure exponential stability of stochastic differential delay equations

... unstable differential equation ˙ x(t) = αx(t), we see that it is the stochastic feedback control σx(t)dB (t) that stabilizes the unstable system ˙ x(t) = ...of linear systems was initiated by Khasminskii ... See full document

16

Almost sure exponential stability of hybrid stochastic functional differential equations

Almost sure exponential stability of hybrid stochastic functional differential equations

... the linear scalar SDE dx(t) = σx(t)dB(t) is almost surely exponentially stable by applying the Itô formula to log(x(t)) (see, ...sure exponential stability of the corresponding SDDE ... See full document

19

The Kneser property for abstract retarded functional differential
equations with infinite delay

The Kneser property for abstract retarded functional differential equations with infinite delay

... 2. Abstract retarded functional differential ...of linear operators on X with infinitesimal generator ...associated abstract Cauchy problem ... See full document

17

Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations

Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations

... the exponential stability in mean square of the exponential Euler method to linear stochastic delay differential equations ...classical stability theorem to LSDDEs ... See full document

6

Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations

Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations

... dy = f y(t), y(t – τ ) dt + g y(t), y(t – τ ) dw(t) (.) for every t ≥ . Here time delay τ > . The initial function y(t) = ψ (t) when t ∈ [–τ , ]. We further assume that the initial data is independent of ... See full document

8

Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps

Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps

... Stochastic functional differential equation with ...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

7

On linear Volterra difference equations with infinite delay

On linear Volterra difference equations with infinite delay

... of linear autonomous or periodic delay or neutral delay differential equations, while those in [19, 21, 33] are dealing with the behavior of solutions of some linear (neutral or ... See full document

28

Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching

Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching

... d[x(t) − D(x(t − τ ))] = f(x(t), x(t − τ ), t)dt + g(x(t), x(t − τ ), t)dB(t). (1.1) Kolmanovskii and Nosov [13] not only established the theory of existence and uniqueness of the solution to Eq. (1.1) but also ... See full document

23

Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay

Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay

... differential equations was done provided that the operator in the linear part is the infinitesimal generator of a strongly continuous operator semigroup, a compact semigroup, or an analytic semigroup, or is a ... See full document

11

Stability for Functional Differential Equations with Delay in Banach Spaces

Stability for Functional Differential Equations with Delay in Banach Spaces

... neutral delay differential equations appear in modelling of the networks containing lossless transmission lines (as in high-speed computers where the lossless transmission lines are used to ... See full document

10

Almost sure exponential stability of numerical solutions for stochastic delay differential equations

Almost sure exponential stability of numerical solutions for stochastic delay differential equations

... sure exponential stability of the EM scheme for the SDDEs ...stochastic stability of the EM scheme e.g. the LaSalle-type stability as Mao did for the true solutions in his series of papers ... See full document

17

Almost Sure Exponential Stability of Stochastic Differential Delay Equations on Time Scales

Almost Sure Exponential Stability of Stochastic Differential Delay Equations on Time Scales

... of differential and difference equations into a single set-up, the theory of analysis on time scales has received much attention from many research ...dynamic equations on time scales have been ... See full document

12

17.Unique solutions for systems of fractional
order differential equations with infinite delay

17.Unique solutions for systems of fractional order differential equations with infinite delay

... Recently, fractional differential equations have been of great interest. For de- tailed discussion on this topic, refer to the monographs of Miller and Ross [5], Podlubny [6], and the papers by Benchohra et ... See full document

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