Stationary solitary waves with second-order nonlinearities
β Scribed by Lluis Torner
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 445 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0030-4018
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Many physical phenomena in one-or higher-dimensional space can be described by nonlinear evolution equations, which can be reduced to ordinary differential equations such as the Lienard equation. Thus, to study those ordinary differential equations is of significance not only in mathematics itself,
We consider the nonlinear Sturm-Liouville problem (1) where p β C 1 [0; ], q β C 0 [0; ], with p(x) ΒΏ 0, x β [0; ], and c 2 i0 + c 2 i1 ΒΏ 0, i =0; 1. We suppose that f : [0; ] Γ R 2 β R is continuous and there exist increasing functions l ; u : [0; β) β R, and a constant B, such that limtββ l (t)
We consider the nonlinear Sturm-Liouville problem where with p(x) ΒΏ 0 for all x β [0; ]; c 2 i0 + c 2 i1 ΒΏ 0, i = 0; 1; h β L 2 (0; ). We suppose that f : [0; ] Γ R β R is continuous and there exist increasing functions l ; u : [0; β) β R, and positive constants A, B, such that limtββ l (t) = β an