Periodic solutions of quasi-differential equations. (1996)

• Record Type: Journal Article
• Authors: Boucherif, Abdelkader; García-Río, Eduardo; Nieto, Juan J.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 9:Number 1(1996)
• Page Start: 11
• Page End: 20
• Publication Date: 1996
• Subjects: Sturm-Liouville problem -- periodic solution -- maximum principle -- upper and lower solution; 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/S1048953396000020
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : Existence principles and theorems are established for the nonlinear problem L u = f ( t, u ) where L u = − ( p u ′ ) ′ + h u is a quasi-differential operator and f is a Carathéodory function. We prove a maximum principle for the operator L and then we show the validity of the upper and lower solution method as well as the monotone iterative technique.