American Institute of Mathematical Sciences

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2003, 2003(Special): 590-595. doi: 10.3934/proc.2003.2003.590

Asymptotic solutions of a nonlinear equation

Chunqing Lu 1,

1. 

Southern Illinois University at Edwardsville, Mathematics and Statistics Box 1635, Edwardsville, IL 62026, United States

Received  September 2002 Published  April 2003

This paper presents rigorous proofs of the asymptotic solutions of a nonlinear ordinary equation, $\epsilon n f^(iv) = (f-2\epsilon) f''' - f' f''$ subject to boundary conditions: $f(0) = 0, f(1) = 1, f'(1) = 0, lim_(n \to 0^+) sqrtn f''(n)=0.$
Keywords: asymptotic solutions., laminar flow.
Mathematics Subject Classification: Primary: 34B1.
Citation: Chunqing Lu. Asymptotic solutions of a nonlinear equation. Conference Publications, 2003, 2003 (Special) : 590-595. doi: 10.3934/proc.2003.2003.590
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