Malaysian Journal of Mathematical Sciences, May 2020, Vol. 14, No. 2
On Oscillation of Fourth Order Delay Differential Equations
Lafci Büyükkahraman, M.
Corresponding Email: mehtap.lafci@usak.edu.tr
Received date: 2 January 2019
Accepted date: 25 April 2020
Abstract:
The purpose of this paper is to obtain the oscillatory behavior of solutions of a class of fourth-order differential equations \((a(t)(x^{'''}(t))^{\gamma})^{'}+b(t)f(x(\tau (t)))=0\) for \(t\geq t_{0}\) under the condition \(\int_{t_0}^{\infty}\frac{1}{a^{1/\gamma }(s)}ds<\infty\) and also two examples are given to clarify our results.
Keywords: Oscillation and fourth order delay differential equation
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