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Stability of Positive Fixed Points of Nonlinear Operators

โœ Scribed by Yong-Zhuo Chen


Book ID
110308996
Publisher
Springer
Year
2002
Tongue
English
Weight
100 KB
Volume
6
Category
Article
ISSN
1385-1292

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Three positive fixed points of nonlinear
โœ R.I. Avery; A.C. Peterson ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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