Oscillation Properties of Higher Order Impulsive Delay Differential Equations
نویسنده
چکیده
This paper studies the oscillation properties of higher order impulsive delay differential equations, and some sufficient conditions for all bounded solutions of this kind of higher order impulsive delay differential equations to be nonoscillatory are obtained by using a comparison theorem with corresponding nonimpulsive differential equations. AMS subject classification: 34C10, 34C15.
منابع مشابه
Oscillation of Impulsive Delay Differential Equations and Applications to Population Dynamics
The main result of this paper is that the oscillation and nonoscillation properties of a nonlinear impulsive delay differential equation are equivalent respectively to the oscillation and nonoscillation of a corresponding nonlinear delay differential equation without impulse effects. An explicit necessary and sufficient condition for the oscillation of a nonlinear impulsive delay differential e...
متن کاملStability analysis of impulsive fuzzy differential equations with finite delayed state
In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...
متن کاملOscillations of Even Order Linear Impulsive Delay Differential Equations
In this paper, we devote to investigation of even order impulsive delay differential equations, new oscillation criteria for every solution of equations are established.
متن کاملOscillation and other properties of linear impulsive and nonimpulsive delay equations
May of the oscillation results for linear impulsive equations were justified by the following scheme. First, the equivalence of the oscillation of the impulsive equation and some specially constructed nonimpulsive equation was established; further, on the base of well-known results for the nonimpulsive case, the oscillation of the impulsive equation was analyzed. In the present paper, we prove ...
متن کاملSufficient Conditions for the Oscillation of Bounded Solutions of a Class of Impulsive Differential Equations of Second Order with a Constant Delay
The last twenty years have seen a significant increase in the number of papers devoted to the oscillation theory of differential equations with a deviating argument. The main part of these investigations is given in the monographs [1], [2], [3]. On the other hand, the last decade has been marked by a growing interest in impulsive differential equations due to their various applications in scien...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007