On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space

Authors

V. Lakshmikantham
Roger W. Mitchell
A. Richard Mitchell

Document Type

Report

Source Publication Title

Technical Report 28

Abstract

The existence and uniqueness of solutions of differential equations of retarded type in a Banach space are considered under a monotonicity type condition. The tools that are available for the study of equations without delay pose problems in this case since the domain and the range come from different Banach spaces. To overcome this difficulty, subsets of the domain have to be chosen carefully and weaker forms of differential inequalities have to be employed.

Disciplines

Mathematics | Physical Sciences and Mathematics

Publication Date

6-1-1975

Language

English

License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

Recommended Citation

Lakshmikantham, V.; Mitchell, Roger W.; and Mitchell, A. Richard, "On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space" (1975). Mathematics Technical Papers. 204.
https://mavmatrix.uta.edu/math_technicalpapers/204