Solutions and positive solutions for some three-point boundary value problems

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2003, 2003(Special): 263-272. doi: 10.3934/proc.2003.2003.263

Solutions and positive solutions for some three-point boundary value problems

1.	Computer Science and Mathematics, Trent University, Peterborough, ON Canada K9J 7B8, Canada

Received September 2002 Revised March 2003 Published April 2003

Abstract
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We will prove existence results for some three-point boundary value problems by applying a Gronwall inequality. Then, we establish the existence of at least one positive solution for a three-point boundary value problem where the nonlinearity involves the first derivative.

Keywords: positive solution., Boundary value problem, cone.

Mathematics Subject Classification: Primary: 34B18; Secondary: 34B10, 47H10, 47H3.

Citation: Wenying Feng. Solutions and positive solutions for some three-point boundary value problems. Conference Publications, 2003, 2003 (Special) : 263-272. doi: 10.3934/proc.2003.2003.263

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