Document Type
Report
Source Publication Title
Technical Report 165
Abstract
In recent papers [2,6], the authors have established existence and comparison theorems for the well known Cauchy problem for ordinary differential equations without using the monotone property on the given system. These results are obtained under the conditions of the type which have been considered in the classical paper of Müller [8]. The interesting feature of the results established in [2,6], is the fact that the solutions of the Cauchy problem remain in the given sector. In this paper, we shall first establish existence and comparison theorems for a class of more general functional differential systems without using monotone property. Further we develop a monotone iterative technique to establish the existence of minimal and maximal solutions.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
6-1-1981
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Pachpatte, B. G. and Ladde, G. S., "Existence Theorems for a Class of Functional Differential Systems" (1981). Mathematics Technical Papers. 45.
https://mavmatrix.uta.edu/math_technicalpapers/45