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Homoclinic Orbits for second order Hamiltonian Equations in({mathbb{R}})

โœ Scribed by Percy D. Makita

Book ID
118802069
Publisher
Springer US
Year
2012
Tongue
English
Weight
212 KB
Volume
24
Category
Article
ISSN
1040-7294

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๐Ÿ“œ SIMILAR VOLUMES

Infinitely many homoclinic orbits for th
Infinitely many homoclinic orbits for the second-order Hamiltonian systems
โœ Wenming Zou; Shujie Li ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 347 KB

In this paper, the existence of homoclinic orbits for the second-order Hamiltonian systems without periodicity is studied and infinitely many homoclinic orbits for both superlinear and asymptotically linear cases are obtained.

Existence of even homoclinic orbits for
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โœ Ying Lv; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 249 KB

Some existence theorems for even homoclinic orbits are obtained for a class of second-order nonautonomous Hamiltonian systems with symmetric potentials under a class of new superquadratic conditions. A homoclinic orbit is obtained as a limit of solutions of a certain sequence of nil-boundary-value p