State-dependent impulsive delay-differential equations
نویسندگان
چکیده
منابع مشابه
State-dependent impulsive delay-differential equations
K e y w o r d s D e l a y , Differential equation, Impulses, Fixed point. 1. I N T R O D U C T I O N The object of this paper is to present existence and uniqueness results about the solution of a system of delay-differential equations with infinitely many state-dependent impulses. This type of problem is characterized by jumps in the solution of the system. The system is (s) = / ( t , x , ) + ...
متن کاملAsymptotic Stability of Fractional Impulsive Neutral Stochastic Partial Integro-differential Equations with State-dependent Delay
In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and as...
متن کاملImpulsive Stabilization of Linear Delay Differential Equations
The paper is concerned with stabilization of a scalar delay differention equation ẋ(t)− m ∑ k=1 Ak(t)x[hk(t)] = 0, t ≥ 0, x(ξ) = φ(ξ), ξ < 0, by introducing impulses in certain moments of time x(τj) = Bjx(τj − 0), j = 1, 2, . . . . Explicit stability results are presented both for the equation with positive coefficients and for the equation with Ak being of arbitrary sign. Supported by Israel M...
متن کاملExponential Stability of Impulsive Delay Differential Equations
and Applied Analysis 3 Note that V(t∗) = Q(t∗) + C 2 ‖Φ‖ τ e ∫ t ∗
متن کاملAttractivity of Nonlinear Impulsive Delay Differential Equations
The attractivity of nonlinear differential equations with time delays and impulsive effects is discussed. We obtain some criteria to determine the attracting set and attracting basin of the impulsive delay system by developing an impulsive delay differential inequality and introducing the concept of nonlinear measure. Examples and their simulations illustrate the effectiveness of the results an...
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: Applied Mathematics Letters
سال: 2002
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(01)00140-9