Compactness Conditions in the Study of Functional, Differential, and Integral Equations
Joint Authors
Banas, Józef
Sadarangani, Kishin B.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We discuss some existence results for various types of functional, differential, and integral equations which can be obtained with the help of argumentations based on compactness conditions.
We restrict ourselves to some classical compactness conditions appearing in fixed point theorems due to Schauder, Krasnosel’skii-Burton, and Schaefer.
We present also the technique associated with measures of noncompactness and we illustrate its applicability in proving the solvability of some functional integral equations.
Apart from this, we discuss the application of the mentioned technique to the theory of ordinary differential equations in Banach spaces.
American Psychological Association (APA)
Banas, Józef& Sadarangani, Kishin B.. 2013. Compactness Conditions in the Study of Functional, Differential, and Integral Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-500651
Modern Language Association (MLA)
Banas, Józef& Sadarangani, Kishin B.. Compactness Conditions in the Study of Functional, Differential, and Integral Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-500651
American Medical Association (AMA)
Banas, Józef& Sadarangani, Kishin B.. Compactness Conditions in the Study of Functional, Differential, and Integral Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-500651
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500651