Oscillation of Impulsive Hyperbolic Differential Equations with Distributed Delay
نویسندگان
چکیده
منابع مشابه
Oscillation of the systems of impulsive hyperbolic partial differential equations
The systems of impulsive hyperbolic partial differential equations with Robin boundary value condition are investigated. Several new sufficient conditions of oscillation for such systems are established by employing impulsive differential inequalities and integration.
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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: ScieXplore: International Journal of Research in Science
سال: 2017
ISSN: 2350-0999,2349-8919
DOI: 10.15613/sijrs/2017/v4i1/172389