Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems
β Scribed by Chengyue Li; Tianyou Fan; Mingsheng Tong
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 319 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1001-6538
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π SIMILAR VOLUMES
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
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.
We study the existence of infinitely many homoclinic orbits for some second-order Hamiltonian systems: ΓΌ -L(t)u(t) + β F(t, u(t)) = 0, βt β R, by the variant fountain Theorem, where F(t, u) satisfies the super-quadratic condition F(t, u)/|u| 2 β β as |u| β β uniformly in t, and need not satisfy the