Abstract
This article is concerned with the existence of fixed points of compact operators mapping a cone in a Banach space into itself. Applications to two-point boundary value problems in ordinary differential equations and to an integral equation of K. E. Swick, modeling single species population growth, are given. A main feature of our results is that nonzero fixed points are obtained even though zero is known to be a fixed point.
Original language | English (US) |
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Pages (from-to) | 58-71 |
Number of pages | 14 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 61 |
Issue number | 1 |
DOIs | |
State | Published - Nov 1 1977 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics