Unbounded Solutions of Asymmetric Oscillator

Tieguo Ji and Zhenhui Zhang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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‐periodic in t for some T > 0.

Date: 2013
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https://doi.org/10.1155/2013/218346

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:218346

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