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Positive Solutions of second order differential equations with integral boundary conditions

Pages: 155 - 159, Issue Special, September 2007

 Abstract        Full Text (153.1K)              

Abdelkader Boucherif - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Box 5046 Dhahran, 31261, Saudi Arabia (email)

Abstract: In this paper we investigate the existence of positive solutions of second order differential equations with integral boundary conditions, and the nonlinearity is a continuous function, depending on the first derivative of the unknown function and may change sign, with respect to its second argument, infinitely many times.

Keywords:  Positive solutions, nonlocal integral boundary conditions, lower and upper solutions.
Mathematics Subject Classification:  Primary: 34B15, Secondary: 34B18.

Received: September 2006;      Revised: March 2007;      Published: September 2007.