Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
In this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality establishe...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/784956 |
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| author | Kishor D. Kucche Machindra B. Dhakne |
| author_facet | Kishor D. Kucche Machindra B. Dhakne |
| author_sort | Kishor D. Kucche |
| collection | DOAJ |
| description | In this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality established by B. G. Pachpatte. The variants for obtained results are given. An example is considered to illustrate the obtained results. |
| format | Article |
| id | doaj-art-d416b60a135f4aa699205cec2c188e56 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-d416b60a135f4aa699205cec2c188e562025-02-03T05:58:57ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/784956784956Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite DelayKishor D. Kucche0Machindra B. Dhakne1Department of Mathematics, Shivaji University, Kolhapur, Maharashtra 416 004, IndiaDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra 431 004, IndiaIn this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality established by B. G. Pachpatte. The variants for obtained results are given. An example is considered to illustrate the obtained results.http://dx.doi.org/10.1155/2014/784956 |
| spellingShingle | Kishor D. Kucche Machindra B. Dhakne Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay International Journal of Differential Equations |
| title | Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay |
| title_full | Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay |
| title_fullStr | Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay |
| title_full_unstemmed | Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay |
| title_short | Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay |
| title_sort | existence of solution via integral inequality of volterra fredholm neutral functional integrodifferential equations with infinite delay |
| url | http://dx.doi.org/10.1155/2014/784956 |
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