oscillation and asymptotic behavior of higher-order nonlinear differential equations

oscillation and asymptotic behavior of higher-order nonlinear differential equations

;J. Džurina;B. Baculíková
structural engineering and mechanics 2012 Vol. 2012 pp. -
144
durina2012internationaloscillation

Abstract

The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and oscillation of the nth order delay differential equations (E)(r(t)[x(n−1)(t)]γ)′+q(t)xγ(τ(t))=0. The results obtained utilize also the comparison theorems.

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ID: 151181
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