Document Type
Report
Source Publication Title
Technical Report 192
Abstract
Recently the method of upper and lower solutions and Lyapunov-Schmitt method have been fruitfully employed to prove the existence of periodic solutions for scalar first and second order equations in [2,4]. In this paper we shall use this technique to prove the existence of periodic solutions for first order systems which is the generalisation of Müller's result [3] for periodic case. We shall also develop monotone iterative technique to obtain coupled minimal and maximal periodic quasisoltions for system of first order equations. Further, under a uniqueness assumption, our results yield a unique periodic solution for the first order system.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
9-1-1982
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Vatsala, A. S., "On the Existence of Periodic Quasi Solutions for First Order Systems" (1982). Mathematics Technical Papers. 308.
https://mavmatrix.uta.edu/math_technicalpapers/308