A generalized upper and lower solutions method for nonlinear second order ordinary differential equations. (1992)

• Record Type: Journal Article
• Authors: Nieto, Juan J.; Cabada, Alberto
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 2(1992)
• Page Start: 157
• Page End: 165
• Publication Date: 1992
• Subjects: periodic boundary value problem -- upper and lower solutions -- monotone method; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953392000133
• Languages: English
• ISSNs: 1048-9533

Abstract

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.