Solution branches for mappings in cones, and applications
- 1 August 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 11 (1) , 131-143
- https://doi.org/10.1017/s0004972700043707
Abstract
We prove the existence of global solution branches for positive mappings. This improves an earlier result of the author. We also prove a related result for mappings in wedges. We then use these two results to prove the existence of solutions for boundary-value problems for systems of ordinary differential equations.Keywords
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