Positive Solutions of second order differential equations with integral boundary conditions

Abdelkader Boucherif

doi:10.3934/proc.2007.2007.155

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2007, Volume 2007: 155-159. Doi: 10.3934/proc.2007.2007.155 open access

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Positive Solutions of second order differential equations with integral boundary conditions

Abdelkader Boucherif^1,

1.
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Box 5046 Dhahran, 31261

Received: August 31, 2006

Revised: February 28, 2007

Published: August 2007

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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.

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Mathematics Subject Classification: Primary: 34B15, Secondary: 34B18.

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