Existence of Periodic Solutions for a Class of Second Order Odes With Periodic Data
| dc.contributor.advisor | Abdi Tadesse (PhD) | |
| dc.contributor.author | Weldemichael Sahle | |
| dc.date.accessioned | 2018-07-17T13:12:52Z | |
| dc.date.accessioned | 2023-11-04T12:32:17Z | |
| dc.date.available | 2018-07-17T13:12:52Z | |
| dc.date.available | 2023-11-04T12:32:17Z | |
| dc.date.issued | 2014-03 | |
| dc.description.abstract | In this project we will see the existence of periodic solution(s) to the second order ODE of the form: x00(t) + a(t)x0(t) = g(t; x) =f(t; x(t); x0(t)) by means of Schauders Fixed Point Theorem where a is a continuous !- periodic function , g(t; u), f(t; u; v) are !-periodic functions in t for u = x(t), v = x0(t) and ! > 0. The method of proof is composed of two steps, the _rst step is to transform the original equation into integrodi _erential equation through a linear integral operator and the second step is an application of the Schauder's Fixed Point Theorem. Keywords: Periodic solution; Schauder's _xed point theorem; Fundamental matrix | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9061 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Periodic Solution | en_US |
| dc.subject | Schauder's _Xed Point Theorem | en_US |
| dc.subject | Fundamental Matrix | en_US |
| dc.title | Existence of Periodic Solutions for a Class of Second Order Odes With Periodic Data | en_US |
| dc.type | Thesis | en_US |