Abstract and Applied Analysis

Homoclinic Orbits for Second-Order Hamiltonian Systems with Some Twist Condition

Qi Wang and Qingye Zhang

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Abstract

We study the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems q ¨ L ( t ) q + q W ( t , q ) = 0 , where L ( t ) is unnecessarily positive definite for all t \Bbb R , and q W ( t , q ) is of at most linear growth and satisfies some twist condition between the origin and the infinity.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 250607, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495740

Digital Object Identifier
doi:10.1155/2012/250607

Mathematical Reviews number (MathSciNet)
MR2935140

Zentralblatt MATH identifier
1266.37012

Citation

Wang, Qi; Zhang, Qingye. Homoclinic Orbits for Second-Order Hamiltonian Systems with Some Twist Condition. Abstr. Appl. Anal. 2012 (2012), Article ID 250607, 15 pages. doi:10.1155/2012/250607. https://projecteuclid.org/euclid.aaa/1355495740


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