New maximum principles for fully nonlinear ODEs of second order

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December 2007, 19(4): 813-823. doi: 10.3934/dcds.2007.19.813

New maximum principles for fully nonlinear ODEs of second order

1.	Biochemical Engineering College, Beijing Union University, Beijing 100023, China
2.	School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Received January 2007 Revised April 2007 Published September 2007

Abstract
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In the paper, we give the positive answer of an open problem of Li-Nirenberg under the weaker conditions, and we prove a new variation of the boundary point lemma for second order fully nonlinear ODEs by a new method. A simpler proof of Li-Nirenberg Theorem is also presented.

Keywords: boundary point lemma., fully nonlinear, Li-Nirenberg open problem.

Mathematics Subject Classification: Primary: 35B50, 34L30; Secondary: 35B05, 34A3.

Citation: Wenmin Sun, Jiguang Bao. New maximum principles for fully nonlinear ODEs of second order. Discrete & Continuous Dynamical Systems - A, 2007, 19 (4) : 813-823. doi: 10.3934/dcds.2007.19.813

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