Global Solution Theorems for Odes

Simple item page
dc.contributor.advisorTadesse Abdi
dc.contributor.authorTuba Negesso
dc.date.accessioned2025-09-06T00:19:15Z
dc.date.available2025-09-06T00:19:15Z
dc.date.issued2016-08
dc.description.abstractThis thesis explores the globalization of the implicit function theorem (IFT) within the context of global solution theorems for ordinary differential equations (ODEs). Traditionally, the IFT provides powerful local results, but its global applicability has been less thoroughly examined. By extending the IFT to a global setting, this work develops new theoretical frameworks for understanding and solving ODEs on a broader scale. The study introduces generalized formulations of the IFT, derives significant global bifurcation results, and applies topological methods such as the Leray-Schauder degree to substantiate these results. Emphasis is placed on deriving conditions under which global solutions can be effectively analyzed and obtained.
dc.identifier.urihttps://etd.aau.edu.et/handle/123456789/7420
dc.language.isoen_US
dc.publisherAddis Ababa University
dc.subjectGlobal Solution
dc.subjectTheorems
dc.subjectOdes
dc.titleGlobal Solution Theorems for Odes
dc.typeThesis

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Tuba Negesso 2016.pdf
Size:
1.3 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:
Download

Collections

Mathematics