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Homoclinic Orbits for Second Order Discrete Hamiltonian Systems with

โœ Scribed by Xiaoqing Deng; Gong Cheng

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
347 KB
Volume
103
Category
Article
ISSN
0167-8019

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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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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.