Abstract and Applied Analysis

Periodic Solutions of Second-Order Differential Inclusions Systems with p ( t ) -Laplacian

Liang Zhang and Peng Zhang

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Abstract

The existence of periodic solutions for nonautonomous second-order differential inclusion systems with p ( t ) -Laplacian is considered. We get some existence results of periodic solutions for system, ( d / d t ) ( | u ˙ ( t ) | p ( t ) 2 u ˙ ( t ) ) F ( t , u ( t ) ) a.e. t [ 0 , T ] , u ( 0 ) u ( T ) = u ˙ ( 0 ) u ˙ ( T ) = 0 , by using nonsmooth critical point theory. Our results generalize and improve some theorems in the literature.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 475956, 24 pages.

Dates
First available in Project Euclid: 28 March 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364475910

Digital Object Identifier
doi:10.1155/2012/475956

Mathematical Reviews number (MathSciNet)
MR2994932

Zentralblatt MATH identifier
1261.34021

Citation

Zhang, Liang; Zhang, Peng. Periodic Solutions of Second-Order Differential Inclusions Systems with $p(t)$ -Laplacian. Abstr. Appl. Anal. 2012 (2012), Article ID 475956, 24 pages. doi:10.1155/2012/475956. https://projecteuclid.org/euclid.aaa/1364475910


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