Oscillation Criteria for Impulsive Parabolic Differential Equations with Delay
نویسندگان
چکیده
منابع مشابه
Oscillation criteria for impulsive parabolic boundary value problem with delay
10 In this work, we study the criteria of oscillatory solutions to impulsive parabolic 11 boundary value problem with delay. First, we consider two types of boundary condition 12 which resolve in oscillatory solutions in the impulsive problem with delay, then we 13 further reduce the oscillation criteria for the problem. 14 2003 Published by Elsevier Science Inc. 15
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and Applied Analysis 3 we get that x(t) > 0 for any t ∈ (τ k , τ k+1 ], k = j + 1, j + 2, . . .. So the following impulsive differential inequalities hold: x (t) ≤ −α ∏ τj+1<τk τ j+1 , t ̸ = τ k , x (τ + k ) ≤ b k x (τ k ) , k = j + 1, j + 2, . . . . (13) According to Lemma 1, we get x (t) ≤ x (τ + j+1 ) ∏ τj+1<τk<t b k − α∫ t τj+1 ∏ s<τk<t b k ∏ τj+1<τk<s c k ds = ∏ τj+1<τ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7840