Document Type
Report
Source Publication Title
Technical Report 112
Abstract
In the study of comparison theorems and extremal solutions for systems of ordinary differential equations [5], one usually imposes a condition on the right hand side known as quasi-monotone nondecreasing property. This property. is also needed in proving comparison theorems for second order, boundary value problems [9] as well as for the initial boundary value problem for parabolic systems [5, 6]. Also, it is well known that in the .method of vector Lyapunov functions which provides an effective tool to investigate the stability of Large Scale Systems [1-4], an unpleasant drawback is the requirement of the quasi-monotone property for the comparison systems. In systems which represent physical situations, we rather often find that this property is not satisfied.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
8-1-1979
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Lakshmikantham, V. and Deimling, K., "Quasi-Solutions and Their Role in the Qualitative Theory of Differential Equations" (1979). Mathematics Technical Papers. 123.
https://mavmatrix.uta.edu/math_technicalpapers/123