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
β¦ LIBER β¦
Infinitely many homoclinic orbits for the second-order Hamiltonian systems
β Scribed by Wenming Zou; Shujie Li
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 347 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
Infinitely many homoclinic orbits for th
β
Jie Yang; Fubao Zhang
π
Article
π
2009
π
Elsevier Science
π
English
β 417 KB
Infinitely many homoclinic solutions for
β
Qingye Zhang; Chungen Liu
π
Article
π
2010
π
Elsevier Science
π
English
β 610 KB
Infinitely many homoclinic solutions for
β
Liu Yang; Haibo Chen; Juntao Sun
π
Article
π
2011
π
Elsevier Science
π
English
β 242 KB
Infinitely many homoclinic orbits for Ha
β
X.H. Tang; Xiaoyan Lin
π
Article
π
2011
π
Elsevier Science
π
English
β 252 KB
Infinitely Many Large Amplitude Homoclin
β
B. Buffoni
π
Article
π
1995
π
Elsevier Science
π
English
β 409 KB
Existence of even homoclinic orbits for
β
Ying Lv; Chun-Lei Tang
π
Article
π
2007
π
Elsevier Science
π
English
β 249 KB
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