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Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem
Joint Authors
Jah, Sidi Hamidou
Bousselsal, Mahmoud
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-15
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the existence of solutions of a nonlinear Volterra integral equation in the space L1[0,+∞).
With the help of Krasnoselskii’s fixed point theorem and the theory of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes on nonlinear integral equations.
Our results extend and generalize some previous works.
An example is given to support our results.
American Psychological Association (APA)
Bousselsal, Mahmoud& Jah, Sidi Hamidou. 2014. Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-459932
Modern Language Association (MLA)
Bousselsal, Mahmoud& Jah, Sidi Hamidou. Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem. International Journal of Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-459932
American Medical Association (AMA)
Bousselsal, Mahmoud& Jah, Sidi Hamidou. Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-459932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459932