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Existence of homoclinic solutions for a class of second-order Hamiltonian systems

✍ Scribed by Xiang Lv; Shiping Lu; Ping Yan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
516 KB
Volume
72
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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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

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We study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian system The existence of a nontrivial periodic solution is obtained when βˆ‡W is asymptotically linear at infinity, and the existence of infinitely many periodic solutions is also obtained when βˆ‡W i