American Institute of Mathematical Sciences

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

New maximum principles for fully nonlinear ODEs of second order

Wenmin Sun 1, and  Jiguang Bao 2,

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

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