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Existence and uniqueness theorems for fourth-order singular boundary value problems

✍ Scribed by Yujun Cui; Yumei Zou

Book ID
108077439
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
506 KB
Volume
58
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES

A uniqueness and Existence theorem for a
A uniqueness and Existence theorem for a singular third-order boundary value Problem on [0, ∞)
✍ Daqing Jiang; R.P. Agarwal πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 315 KB

It is proved that the singular third-order boundary value problem ym = f(y), y(0) = 0, y(+oΒ’) = 1, y~(+oo) = yU(+cc) = 0, has a unique solution. Here f(y) = (1 -y)~g(y), )~ > O, g(y) is positive and continuous on (0, 1]. The problem arises in the study of draining and coating flows.