Abstract and Applied Analysis

Unbounded Solutions of Asymmetric Oscillator

Tieguo Ji and Zhenhui Zhang

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Abstract

We obtain sufficient conditions for the existence of unbounded solutions of the following nonlinear differential equation ( φ p ( x ) ) + ( p 1 ) [ α φ p ( x + ) β φ p ( x ) ] = ( p 1 ) f ( t , x , x ) , where φ p ( u ) = | u | p 2 u ,   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 .

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 218346, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393443514

Digital Object Identifier
doi:10.1155/2013/218346

Mathematical Reviews number (MathSciNet)
MR3124074

Zentralblatt MATH identifier
1296.34083

Citation

Ji, Tieguo; Zhang, Zhenhui. Unbounded Solutions of Asymmetric Oscillator. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 218346, 6 pages. doi:10.1155/2013/218346. https://projecteuclid.org/euclid.aaa/1393443514


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