## Abstract and Applied Analysis

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

#### Abstract

We study the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems $\stackrel{¨}{q}-L(t)q+{\nabla }_{q}W(t,q)=0$, where $L(t)$ is unnecessarily positive definite for all $t\in \Bbb R$, and ${\nabla }_{q}W(t,q)$ 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

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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