A degree theory for compact perturbations of proper C1 Fredholm mappings of index 0. (26th September 2005)
- Record Type:
- Journal Article
- Title:
- A degree theory for compact perturbations of proper C1 Fredholm mappings of index 0. (26th September 2005)
- Main Title:
- A degree theory for compact perturbations of proper C1 Fredholm mappings of index 0
- Authors:
- Rabier, Patrick J.
Salter, Mary F. - Abstract:
- Abstract : We construct a degree for mappings of the formF + K between Banach spaces, whereF isC 1 Fredholm of index0 andK is compact. This degree generalizes both the Leray-Schauder degree whenF = I and the degree forC 1 Fredholm mappings of index0 whenK = 0 . To exemplify the use of this degree, we prove the "invariance-of-domain" property whenF + K is one-to-one and a generalization of Rabinowitz's global bifurcation theorem for equationsF ( λ, x ) + K ( λ, x ) = 0 .
- Is Part Of:
- Abstract and applied analysis. Volume 2005:Number 7(2005)
- Journal:
- Abstract and applied analysis
- Issue:
- Volume 2005:Number 7(2005)
- Issue Display:
- Volume 2005, Issue 7 (2005)
- Year:
- 2005
- Volume:
- 2005
- Issue:
- 7
- Issue Sort Value:
- 2005-2005-0007-0000
- Page Start:
- 707
- Page End:
- 731
- Publication Date:
- 2005-09-26
- Subjects:
- Mathematical analysis -- Periodicals
Mathematical analysis
Applied Mathematics
Mathematical Analysis
Periodicals
515.05 - Journal URLs:
- http://www.hindawi.com/journals/aaa ↗
http://ProjectEuclid.org/aaa ↗ - DOI:
- 10.1155/AAA.2005.707 ↗
- Languages:
- English
- ISSNs:
- 1085-3375
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10199.xml