Positive solutions of second order boundary value problems with changing signs Carathéodory nonlinearities

A. Boucherif, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
J. Henderson, Baylor University, Waco, Texas, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 7. (2006), pp. 1-14.

Abstract: In this paper we investigate the existence of positive solutions of two-point boundary value problems for nonlinear second order differential equations of the form $(py^{\prime})^{\prime}(t)+q(t)y(t)=f(t,y(t),y^{\prime}(t))$, where $f$ \ is a Carath\'{e}odory function, which may change sign, with respect to its second argument, infinitely many times.

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