Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/46741
Title: Compactness conditions in the study of functional, differential, and integral equations
Authors: Banaś, Józef
Sadarangani, Kishin 
UNESCO Clasification: 21 Astronomía Astrofísica
Keywords: Fixed-point theorem
Global attractivity
Existence
Noncompactness
Issue Date: 2013
Journal: Abstract and Applied Analysis 
Abstract: 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.
URI: http://hdl.handle.net/10553/46741
ISSN: 1085-3375
DOI: 10.1155/2013/819315
Source: Abstract and Applied Analysis [ISSN 1085-3375], v. 2013 (819315)
Appears in Collections:Reseña
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