Abstract
We study the oscillatory behavior of a class of fourth-order differential equations and establish sufficient conditions for oscillation of a fourth-order differential equation with middle term. Our theorems extend and complement a number of related results reported in the literature. One example is provided to illustrate the main results.
Highlights
We are concerned with the oscillation and the asymptotic behavior of solutions of the following two fourth-order differential equations
We firstly provide the following lemma, which is used as a tool in the proofs our theorems
We study the oscillatory behavior of a class of non-linear fourth-order differential equations and establish sufficient conditions for oscillation of a fourth-order differential equation with middle term
Summary
We are concerned with the oscillation and the asymptotic behavior of solutions of the following two fourth-order differential equations. There has been much activity concerning oscillatory and asymptotic behavior of various classes of differential and difference equations (see, e.g., [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34], and the references cited therein).
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