RESEARCH COMMONS
LIBRARY

Problems at Resonance for First and Second Order Differential Equations Via Lyapunov-Like Functions

ResearchCommons/Manakin Repository

Problems at Resonance for First and Second Order Differential Equations Via Lyapunov-Like Functions

Show full item record

Title: Problems at Resonance for First and Second Order Differential Equations Via Lyapunov-Like Functions
Author: Nieto, J. J.
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.
URI: http://hdl.handle.net/10106/2307
Date: 1982-04

Files in this item

Files Size Format View Description
MathTechReport181.pdf 612.7Kb PDF View/Open PDF

This item appears in the following Collection(s)

Show full item record

Browse

My Account

Statistics

About Us