On Some Classes of Linear Volterra Integral Equations
The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems. The Volterra integral equations of the first kind with piecewise smooth kernels are considered. Illus...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/532409 |
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| _version_ | 1832563342511702016 |
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| author | Anatoly S. Apartsyn |
| author_facet | Anatoly S. Apartsyn |
| author_sort | Anatoly S. Apartsyn |
| collection | DOAJ |
| description | The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems. The Volterra integral equations of the first kind with piecewise smooth kernels are considered. Illustrative examples are presented. |
| format | Article |
| id | doaj-art-230e1dc65eb549ba82d60d8ac47344f8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-230e1dc65eb549ba82d60d8ac47344f82025-02-03T01:20:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/532409532409On Some Classes of Linear Volterra Integral EquationsAnatoly S. Apartsyn0Melentiev Energy Systems Institute SB RAS, Irkutsk, RussiaThe sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems. The Volterra integral equations of the first kind with piecewise smooth kernels are considered. Illustrative examples are presented.http://dx.doi.org/10.1155/2014/532409 |
| spellingShingle | Anatoly S. Apartsyn On Some Classes of Linear Volterra Integral Equations Abstract and Applied Analysis |
| title | On Some Classes of Linear Volterra Integral Equations |
| title_full | On Some Classes of Linear Volterra Integral Equations |
| title_fullStr | On Some Classes of Linear Volterra Integral Equations |
| title_full_unstemmed | On Some Classes of Linear Volterra Integral Equations |
| title_short | On Some Classes of Linear Volterra Integral Equations |
| title_sort | on some classes of linear volterra integral equations |
| url | http://dx.doi.org/10.1155/2014/532409 |
| work_keys_str_mv | AT anatolysapartsyn onsomeclassesoflinearvolterraintegralequations |