A uniqueness and Existence theorem for a singular third-order boundary value Problem on [0, ∞)

✍ Scribed by Daqing Jiang; R.P. Agarwal

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 315 KB
• Volume: 15
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(01)00157-4

✦ Synopsis

It is proved that the singular third-order boundary value problem ym = f(y), y(0) = 0, y(+o¢) = 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.