The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations

Joint Authors

Dudek, Szymon
Banas, Józef

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-27

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis.

We apply the technique of measures of noncompactness in order to obtain existence results for equations in question.

Additionally, that technique allows us to obtain some characterization of considered integral equations.

An example illustrating the obtained results is also included.

American Psychological Association (APA)

Banas, Józef& Dudek, Szymon. 2013. The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-479657

Modern Language Association (MLA)

Banas, Józef& Dudek, Szymon. The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-479657

American Medical Association (AMA)

Banas, Józef& Dudek, Szymon. The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-479657

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-479657