Stability Theorem for Delay Differential Equations with Impulses

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Oscillation for second order nonlinear delay differential equations with impulses

In this paper , we investigate the oscillation of second order nonlinear delay differential equations with impulses of the form k k k k k k k r t x t p t x t Q t x t t t t t k n x t g x t x t h x t

متن کامل

Razumikhin-Type Stability Criteria for Differential Equations with Delayed Impulses.

This paper studies stability problems of general impulsive differential equations where time delays occur in both differential and difference equations. Based on the method of Lyapunov functions, Razumikhin technique and mathematical induction, several stability criteria are obtained for differential equations with delayed impulses. Our results show that some systems with delayed impulses may b...

متن کامل

Stability Analysis for Nonlinear Second Order Differential Equations with Impulses∗

In this paper we investigate the impulsive equation { (r(t)x′) + a(t)x + f (t, x, x′) = p(t), t ≥ t0, t 6= tk, x(tk) = ckx(tk − 0), x(tk) = dkx(tk − 0), k = 1, 2, 3, . . . , and establish a couple of criteria to guarantee the equations of this type to possess the stability, including boundedness and asymptotic properties. Some examples are given to illustrate our results and the last one shows ...

متن کامل

Stability results for impulsive functional differential equations with infinite delay

For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying...

متن کامل

A 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 کامل

ذخیره 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 Mathematical Analysis and Applications

سال: 1996

ISSN: 0022-247X

DOI: 10.1006/jmaa.1996.0134