Document Type
Report
Source Publication Title
Technical Report 181
Abstract
Recently [7,8,10] an attempt is made successfully to combine the two basic techniques namely, Lyapunov-Schmidt method and the method of upper and lower solutions, to investigate the existence of periodic solutions of differential equations. When we wish to extend such results for systems of differential equations there are two possibilities to follow. One is to generalize the method of upper and lower solutions using a suitable cone, and the other is to utilize the concept of tyapunov-like functions and the theory of differential inequalities. In the paper, we shall discuss the existence of problems at resonance for first and second order differential systems by the second approach developing necessary theory of differential inequalities for problems at resonance.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
4-1-1982
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Nieto, J. J., "Problems at Resonance for First and Second Order Differential Equations Via Lyapunov-Like Functions" (1982). Mathematics Technical Papers. 288.
https://mavmatrix.uta.edu/math_technicalpapers/288