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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| 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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