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Homoclinic orbits for the second-order Hamiltonian systems with obstacle item

โœ Scribed by CuiCui Yin; FuBao Zhang

Book ID
107348240
Publisher
SP Science China Press
Year
2010
Tongue
English
Weight
227 KB
Volume
53
Category
Article
ISSN
1674-7283

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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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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