Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity
An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral parameter depending on time. In case the initial...
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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/10.1155/2012/717969 |
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| _version_ | 1849395937513832448 |
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| author | Onur Alp İlhan |
| author_facet | Onur Alp İlhan |
| author_sort | Onur Alp İlhan |
| collection | DOAJ |
| description | An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral parameter depending on time. In case the initial value of the parameter coincides with some isolated point of the spectrum of compact operator, the conditions of solvability are established. |
| format | Article |
| id | doaj-art-b584e5b3cd8d482aaead8097877caef3 |
| 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-b584e5b3cd8d482aaead8097877caef32025-08-20T03:39:28ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/717969717969Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of ViscoelasticityOnur Alp İlhan0Faculty of Education, Erciyes University, 38039 Melikgazi Kayseri, TurkeyAn integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral parameter depending on time. In case the initial value of the parameter coincides with some isolated point of the spectrum of compact operator, the conditions of solvability are established.http://dx.doi.org/10.1155/2012/717969 |
| spellingShingle | Onur Alp İlhan Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity Abstract and Applied Analysis |
| title | Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity |
| title_full | Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity |
| title_fullStr | Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity |
| title_full_unstemmed | Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity |
| title_short | Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity |
| title_sort | solvability of some integral equations in banach space and their applications to the theory of viscoelasticity |
| url | http://dx.doi.org/10.1155/2012/717969 |
| work_keys_str_mv | AT onuralpilhan solvabilityofsomeintegralequationsinbanachspaceandtheirapplicationstothetheoryofviscoelasticity |