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Existence of even homoclinic orbits for second-order Hamiltonian systems

✍ Scribed by Ying Lv; Chun-Lei Tang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
249 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 problems which are obtained by the minimax methods.

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