Stability for a Class of Differential Equations with Nonconstant Delay
نویسندگان
چکیده
منابع مشابه
Asymptotic Stability of a Class of Impulsive Delay Differential Equations
This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations. New numerical methods for this kind of equations are constructed. The convergence and asymptotic stability of the methods for this kind of equations ...
متن کاملPeriodicity in a System of Differential Equations with Finite Delay
The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
متن کاملOn delay-dependent stability for a class of nonlinear stochastic delay-differential equations
Global asymptotic stability conditions for discrete nonlinear scalar stochastic systems with state delay are obtained based on the convergence theorem for semimartingale inequalities, without assuming the Lipschitz conditions for nonlinear drift functions. The Lyapunov-Krasovskii and degenerate functionals techniques are used. The derived stability conditions are directly expressed in terms of ...
متن کاملA Stability Criterion for Delay Differential Equations with Impulse Effects
In this paper, we prove that if a delay differential equation with impulse effects of the form x (t) = A(t)x(t) + B(t)x(t − τ) , t = θ i , ∆x(θ i) = C i x(θ i) + D i x(θ i−j), i ∈ N, verifies a Perron condition then its trivial solution is uniformly asymptotically stable.
متن کاملOn a class of differential-algebraic equations with infinite delay
We study the set of T -periodic solutions of a class of T -periodically perturbed Differential-Algebraic Equations, allowing the perturbation to contain a distributed and possibly infinite delay. Under suitable assumptions, the perturbed equations are equivalent to Retarded Functional (Ordinary) Differential Equations on a manifold. Our study is based on known results about the latter class of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2013
ISSN: 0972-6802,1758-4965
DOI: 10.1155/2013/159435