Unbounded positive solutions of higher-order nonlinear functional differential equations
โ Scribed by Wan-Tong Li; Cheng-Kui Zhong
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 242 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
Communicated by R. Palais
Abstract--Classification schemes for positive solutions of a class of higher-order nonlinear functional differential equations are given in terms of their asymptotic behavior, and necessary as well as sufficient conditions for the existence of these solutions are also provided.
๐ SIMILAR VOLUMES
Necessary and sufficient conditions are obtained for the existence of positive solutions of a nonlinear differential equation. Relations between this equation and an advanced type nonlinear differential equation are also discussed. แฎ 1998 Aca- demic Press y t G t . The solutions vanishing in some ne
We prove the existence of positive solutions to the scalar equation y (x) + F (x, y, y ) = 0. Applications to semilinear elliptic equations in exterior domains are considered.