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A note on homoclinic orbits for second order Hamiltonian system

โœ Scribed by Wu Shaoping; Yang Haitao

Book ID
107502115
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
1998
Tongue
English
Weight
481 KB
Volume
13
Category
Article
ISSN
1005-1031

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Infinitely many homoclinic orbits for th
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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.

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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