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

Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/102780

Title:	A uniqueness and existence theorem for a singular third-order boundary value problem on [0, ∞)
Authors:	Jiang, D. Agarwal, R.P.
Keywords:	Existence Positive solution Singular nonlinear second-order initial value problem Singular third-order boundary value problem Uniqueness
Issue Date:	May-2002
Citation:	Jiang, D.,Agarwal, R.P. (2002-05). A uniqueness and existence theorem for a singular third-order boundary value problem on [0, ∞). Applied Mathematics Letters 15 (4) : 445-451. ScholarBank@NUS Repository.
Abstract:	It is proved that the singular third-order boundary value problem y‴ = f(y), y(0) = 0, y(+∞) = 1, y′(+∞) = y″(+∞) = 0, has a unique solution. Here f(y) = (1 - y)λ g(y), λ > 0, g(y) is positive and continuous on (0, 1]. The problem arises in the study of draining and coating flows. © 2002 Elsevier Science Ltd. All rights reserved.
Source Title:	Applied Mathematics Letters
URI:	http://scholarbank.nus.edu.sg/handle/10635/102780
ISSN:	08939659
Appears in Collections:	Staff Publications

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