Document Type
Report
Source Publication Title
Technical Report 50
Abstract
The study of the Cauchy problem for ordinary differential equations in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed in such a study are (i) finding monotonicity type conditions which guarantee the existence as well as uniqueness of solutions and (ii) finding compactness type conditions which assure only the existence of solutions [3,4]. It is also known [10,12] that in order to prove the existence of solutions in a closed subset F of the Banach space, a boundary condition of the type [see pdf for notation] is required.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-1977
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Moauro, V. and Leela, S., "Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces" (1977). Mathematics Technical Papers. 27.
https://mavmatrix.uta.edu/math_technicalpapers/27