A generalized upper and lower solutions method for nonlinear second order ordinary differential equations

Juan J. Nieto and Alberto Cabada

International Journal of Stochastic Analysis, 1992, vol. 5, 1-9

Abstract:

The purpose of this paper is to study a nonlinear boundary value problem of second order when the nonlinearity is a Carathéodory function. It is shown that a generalized upper and lower solutions method is valid, and the monotone iterative technique for finding the minimal and maximal solutions is developed.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:718382

DOI: 10.1155/S1048953392000133

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