oscillation and asymptotic behavior of higher-order nonlinear differential equations
;J. Džurina;B. Baculíková
structural engineering and mechanics2012Vol. 2012pp. -
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.