[PDF] Top 20 Exponential stability in a scalar functional differential equation

... on Functional Differential Equations (Perm, ...recent stability criteria which are relevant to our study, the reader is referred to the papers [2, ... See full document

... The state variables on the impulses relate to the finite delay, which implies that the impulsive effects are more general than those given in [20,22,23]. Some Theorems on the pth moment exponential ... See full document

... asymptotic stability of SDEs, including SDDEs and ...sure stability of the stochastic theta methods of linear ...asymptotic stability of both exact and numerical solutions of linear stochastic ... See full document

... the stability of dynamic ...the exponential stability of the linear equation on time scales does not imply the exponential stability of the small enough Lipchitz perturbed ... See full document

... the differential systems are stochastic ...impulsive differential systems and also it is different from stochastic differential ...impulsive differential equations is a new research ... See full document

... 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

... Remark  If the weight function ψ is one-to-one, then we could consider the substitution y(t) = ψ (t)x(t), where x(t) is a solution of (), and study the exponential stability of y(t) which is equivalent to ... See full document

... stochastic functional differential equations excluding neutral stochastic differential delay equations, but the results obtained in this paper are much more general, and they especially can be used ... See full document

... their stability analysis has attracted considerable attention in recent ...sure exponential stability of the Euler- Maruyama (EM) method and the backward Euler-Maruyama (BEM) method using the ... See full document

... asymptotic stability and the exponential stability of nonlinear stochastic functional differential equations (SFDEs) satisfying the local Lipschitz condition but not the linear growth ... See full document

... of stability for finite- dimensional systems under uncertainty is investi- gated and some related theorems are ...on exponential stability and Lya- punov stability of fuzzy differential ... See full document

... for all x, y ∈ S and for a function ϕ : S × S → 0, ∞ with some coditions, then g is bounded or else g is an exponential and h h1g. This is a generalization of the result of Sz´ekelyhidi. Also we investigate the ... See full document

... non-linear functional Voltera integro -differential equations with multiple delays, ...and functional equations, En- cyclopedia of Mathematics and its Applications, ... See full document

... In this paper has improved delay-dependent exponential stability for nonlinear neutral differential equations with dis- crete time-varying delays. From information given above, it seems that our ... See full document

... the exponential stability of equation ...global exponential stability for equation () are given in terms of linear matrix inequalities ... See full document

... Theorem 3.7. Let Assumptions 2.1, 2.2, 3.1 and 3.2 hold. Then there exists a positive number τ ∗ such that the hybrid SFDE (2.1) is almost surely exponentially stable provided τ < τ ∗ . In practice, we can choose p ∈ ... See full document

... The NDE (), consisting of discrete and neutral delays, often appears in scientific and engineering fields such as aircraft, chemical processing, control systems, and biological systems ([–] and references therein). It ... See full document

... [1] R. Z. Has 0 minski˘ı. Stochastic stability of differential equations, volume 7 of Monographs and Textbooks on Mechanics of Solids and Fluids: Mechanics and Analysis. Sijthoff & Noordhoff, Alphen aan ... See full document

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

... 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