# American Institute of Mathematical Sciences

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

## Asymptotic solutions of a nonlinear equation

 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: $f(0) = 0, f(1) = 1, f'(1) = 0, lim_(n \to 0^+) sqrtn f''(n)=0.$
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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