Unbounded Solutions of Asymmetric Oscillator

We obtain sufficient conditions for the existence of unbounded solutions of the following nonlinear differential equation (φp(x′))+(p−1)[αφp(x+)−βφp(x−)]=(p−1)f(t,x,x′), where φp(u)=|u|p−2u,  p>1,  x+=max{x,0},  x−=max{−x,0}, α,β are positive constants, and f is continuous, bounded, and T-periodi...

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Bibliographic Details
Main Authors: Tieguo Ji, Zhenhui Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/218346
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