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|Title:||A uniqueness and existence theorem for a singular third-order boundary value problem on [0, ∞)|
Singular nonlinear second-order initial value problem
Singular third-order boundary value problem
|Source:||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|
|Appears in Collections:||Staff Publications|
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