Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type
The existence results of global asymptotic stability of the solution are proved for functional integral equation of mixed type. The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof. Furthermore, some examples are given to show the efficiency...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/193602 |
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| _version_ | 1832567175567638528 |
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| author | Zhinan Xia |
| author_facet | Zhinan Xia |
| author_sort | Zhinan Xia |
| collection | DOAJ |
| description | The existence results of global asymptotic stability of the solution are proved for
functional integral equation of mixed type. The measure of noncompactness and the fixed-point
theorem of Darbo are the main tools in carrying out our proof. Furthermore, some examples are
given to show the efficiency and usefulness of the main findings. |
| format | Article |
| id | doaj-art-72df676cac6e4ae6a1a005729f97a63f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-72df676cac6e4ae6a1a005729f97a63f2025-02-03T01:02:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/193602193602Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed TypeZhinan Xia0Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaThe existence results of global asymptotic stability of the solution are proved for functional integral equation of mixed type. The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof. Furthermore, some examples are given to show the efficiency and usefulness of the main findings.http://dx.doi.org/10.1155/2013/193602 |
| spellingShingle | Zhinan Xia Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type Journal of Applied Mathematics |
| title | Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type |
| title_full | Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type |
| title_fullStr | Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type |
| title_full_unstemmed | Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type |
| title_short | Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type |
| title_sort | global asymptotic stability for nonlinear functional integral equation of mixed type |
| url | http://dx.doi.org/10.1155/2013/193602 |
| work_keys_str_mv | AT zhinanxia globalasymptoticstabilityfornonlinearfunctionalintegralequationofmixedtype |