Interval Oscillation Criteria for Second Order Mixed Nonlinear Forced Impulsive Differential Equation with Damping Term
نویسندگان
چکیده
In this paper, interval oscillation criteria are established for second order forced impulsive differential equations with mixed nonlinearities of the form ⎧⎪⎨ ⎪⎩ ( r(t)Φα(x′(t)) )′ + p(t)Φα(x′(t))+q(t)Φα(x(t))+ n ∑ i=1 qi(t)Φβi (x(t)) = e(t), t = τk, x(τk) = akx(τk), x′(τk+) = bkx′(τk), k = 1,2, . . . . The results obtained in this paper extend some of the existing results and are illustrated by examples.
منابع مشابه
Interval Oscillation of a Second Order Nonlinear Differential Equation with a Damping Term
Using generalized Riccati transformations, we derive new interval oscillation criteria for a class of second order nonlinear differential equations with damping. Our theorems prove to be efficient in many cases where known results fail to apply.
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تاریخ انتشار 2012