Oscillation Criteria for First Order Forced Dynamic Equations

نویسندگان

  • Lynn Erbe
  • Taher S. Hassan
  • Allan Peterson
چکیده

x(t) + r(t)Φγ (x σ (t)) + p(t)Φα (x σ (t)) + q(t)Φβ (x σ (t)) = f(t), with Φη (u) := |u| u, η > 0. Here r(t), p (t) , q(t) and f (t) are rdcontinuous functions on T and the forcing term f(t) is not required to be the derivative of an oscillatory function. Our results in the special cases when T = R and T = N involve and improve some previous oscillation results for first-order differential and difference equations. An example illustrating the importance of our results is also included.

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تاریخ انتشار 2009