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Positive solutions of operator equations on ordered Banach spaces and applications

✍ Scribed by Cheng-Bo Zhai; Chen Yang; Chun-Mei Guo

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
412 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper is concerned with an operator equation on ordered Banach spaces. The existence and uniqueness of its' positive solutions is obtained by using the properties of cones and monotone iterative technique. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for two classes of integral equations.

πŸ“œ SIMILAR VOLUMES

Three positive fixed points of nonlinear
Three positive fixed points of nonlinear operators on ordered banach spaces
✍ R.I. Avery; A.C. Peterson πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 331 KB

We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving conditions that imply the existence of three fixed points of an operator defined on a cone in a Banach space. We then show how to apply our theorem to prove the existence of three positive solutions to a second-orde