Solvability of Nonlinear Integral Equations of Volterra Type
This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type. The main tools use...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/932019 |
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| _version_ | 1832553212099428352 |
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| author | Zeqing Liu Sunhong Lee Shin Min Kang |
| author_facet | Zeqing Liu Sunhong Lee Shin Min Kang |
| author_sort | Zeqing Liu |
| collection | DOAJ |
| description | This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type. The main tools used in the proofs are some techniques in analysis and the Darbo fixed point theorem via measures of noncompactness. The results obtained in this paper extend and improve essentially some known results in the recent literature. Two nontrivial examples that explain the generalizations and applications of our results are also included. |
| format | Article |
| id | doaj-art-9cdc48c0ae004b9b9b691239940fb4fa |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9cdc48c0ae004b9b9b691239940fb4fa2025-02-03T05:55:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/932019932019Solvability of Nonlinear Integral Equations of Volterra TypeZeqing Liu0Sunhong Lee1Shin Min Kang2Department of Mathematics, Liaoning Normal University, Liaoning, Dalian 116029, ChinaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaThis paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type. The main tools used in the proofs are some techniques in analysis and the Darbo fixed point theorem via measures of noncompactness. The results obtained in this paper extend and improve essentially some known results in the recent literature. Two nontrivial examples that explain the generalizations and applications of our results are also included.http://dx.doi.org/10.1155/2012/932019 |
| spellingShingle | Zeqing Liu Sunhong Lee Shin Min Kang Solvability of Nonlinear Integral Equations of Volterra Type Abstract and Applied Analysis |
| title | Solvability of Nonlinear Integral Equations of Volterra Type |
| title_full | Solvability of Nonlinear Integral Equations of Volterra Type |
| title_fullStr | Solvability of Nonlinear Integral Equations of Volterra Type |
| title_full_unstemmed | Solvability of Nonlinear Integral Equations of Volterra Type |
| title_short | Solvability of Nonlinear Integral Equations of Volterra Type |
| title_sort | solvability of nonlinear integral equations of volterra type |
| url | http://dx.doi.org/10.1155/2012/932019 |
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