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

Mathematics
Science

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