Existence of non-oscillatory solutions for second-order advanced half-linear differential equations

In this article, we establish the necessary and sufficient conditions for existence of non-oscillatory solutions for the second-order advanced half-linear differential equation $$ ig(r(t)|x'(t)|^{alpha-1}x'(t)ig)'+p(t)|x(h(t)ig)|^{alpha-1}x(h(t))=0, quad tgeq t_0. $$ The obtain...

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Bibliographic Details
Main Authors: Aijun Cheng, Zhiting Xu
Format: Article
Language:English
Published: Texas State University 2013-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/54/abstr.html