A monotone iterative method for boundary value problems of parametric differential equations. (2001)

• Record Type: Journal Article
• Authors: Liu, Xinzhi; McRae, Farzana A.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 14:Number 2(2001)
• Page Start: 183
• Page End: 187
• Publication Date: 2001
• Subjects: upper and lower solutions -- monotone iteration -- boundary value problems -- parametric differential equations; 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/S1048953301000132
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : This paper studies boundary value problems for parametric differential equations. By using the method of upper and lower solutions, monotone sequences are constructed and proved to converge to the extremal solutions of the boundary value problem.