Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem
Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation. Moreover, in order to illustrate our results, we include one example...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/324082 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549291088936960 |
|---|---|
| author | Agnieszka Chlebowicz Mohamed Abdalla Darwish Kishin Sadarangani |
| author_facet | Agnieszka Chlebowicz Mohamed Abdalla Darwish Kishin Sadarangani |
| author_sort | Agnieszka Chlebowicz |
| collection | DOAJ |
| description | Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation. Moreover, in order to illustrate our results, we include one example and compare our results with those obtained in other papers appearing in the literature. |
| format | Article |
| id | doaj-art-1b8b57984cf34972a2f9e9f59bf3f4bc |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1b8b57984cf34972a2f9e9f59bf3f4bc2025-02-03T06:11:36ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/324082324082Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s TheoremAgnieszka Chlebowicz0Mohamed Abdalla Darwish1Kishin Sadarangani2Department of Mathematics, Rzeszów University of Technology, al. Powstańców Warszawy 8, 35-959 Rzeszów, PolandDepartment of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus deTafira Baja, 35017 Las Palmas de Gran Canaria, SpainUsing the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation. Moreover, in order to illustrate our results, we include one example and compare our results with those obtained in other papers appearing in the literature.http://dx.doi.org/10.1155/2014/324082 |
| spellingShingle | Agnieszka Chlebowicz Mohamed Abdalla Darwish Kishin Sadarangani Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem Journal of Function Spaces |
| title | Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem |
| title_full | Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem |
| title_fullStr | Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem |
| title_full_unstemmed | Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem |
| title_short | Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem |
| title_sort | existence and asymptotic stability of solutions of a functional integral equation via a consequence of sadovskii s theorem |
| url | http://dx.doi.org/10.1155/2014/324082 |
| work_keys_str_mv | AT agnieszkachlebowicz existenceandasymptoticstabilityofsolutionsofafunctionalintegralequationviaaconsequenceofsadovskiistheorem AT mohamedabdalladarwish existenceandasymptoticstabilityofsolutionsofafunctionalintegralequationviaaconsequenceofsadovskiistheorem AT kishinsadarangani existenceandasymptoticstabilityofsolutionsofafunctionalintegralequationviaaconsequenceofsadovskiistheorem |