First Order Impulsive Initial and Periodic Problems with Variable Moments
نویسندگان
چکیده
منابع مشابه
First Order Impulsive Differential Inclusions with Periodic Conditions
In this paper, we present an impulsive version of Filippov's Theorem for the first-order nonresonance impulsive differential inclusion y (t) − λy(t) ∈ F (t, y(t)), a.e. characterize the jump of the solutions at impulse points t k (k = 1,. .. , m.). Then the relaxed problem is considered and a Filippov-Wasewski result is obtained. We also consider periodic solutions of the first order impulsive ...
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*Correspondence: [email protected] 3Department of Mathematics, University of Hong Kong, Pokfulam, Hong Kong Full list of author information is available at the end of the article Abstract This paper focuses on a certain type of periodic boundary value problems for first-order impulsive difference equations with time delay. Notions of lower and upper solutions are introduced, with which two new co...
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where the initial time, t0, is a given real number, the initial position, ~ ξ0 ∈ IR, is a given vector and ~ F : IR × IR → IR is a given function. We shall assume throughout these notes that ~ F is C. By definition, a solution to the initial value problem (1) on the interval I (which may be open, closed or half–open, but which, of course, contains t0) is a differentiable function ~x(t) which obeys
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where the initial time, t0, is a given real number, the initial position, ~ ξ0 ∈ IR, is a given vector and ~ F : IR × IR → IR is a given function. We shall assume throughout these notes that ~ F is C. By definition, a solution to the initial value problem (1) on the interval I (which may be open, closed or half–open, but which, of course, contains t0) is a differentiable function ~x(t) which obeys
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1999
ISSN: 0022-247X
DOI: 10.1006/jmaa.1999.6336