On the existence of classical solutions for differential-functional IBVP
We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions. Our formulation and results cover a large cla...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337598000608 |
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| _version_ | 1832554451814055936 |
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| author | Krzysztof A. Topolski |
| author_facet | Krzysztof A. Topolski |
| author_sort | Krzysztof A. Topolski |
| collection | DOAJ |
| description | We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions. Our formulation and results cover a large class
of parabolic problems both with a deviated argument and integro-differential equations. |
| format | Article |
| id | doaj-art-bdfcf71228c5441290bcff57117ed1c0 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bdfcf71228c5441290bcff57117ed1c02025-02-03T05:51:32ZengWileyAbstract and Applied Analysis1085-33751998-01-0133-436337510.1155/S1085337598000608On the existence of classical solutions for differential-functional IBVPKrzysztof A. Topolski0Institut of Mathematics, University of Gdańsk, Wit Stwosz 57, Gdańsk 80-952, PolandWe consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions. Our formulation and results cover a large class of parabolic problems both with a deviated argument and integro-differential equations.http://dx.doi.org/10.1155/S1085337598000608Parabolic equationdifferential-functional equationdeviated argument. |
| spellingShingle | Krzysztof A. Topolski On the existence of classical solutions for differential-functional IBVP Abstract and Applied Analysis Parabolic equation differential-functional equation deviated argument. |
| title | On the existence of classical solutions for differential-functional IBVP |
| title_full | On the existence of classical solutions for differential-functional IBVP |
| title_fullStr | On the existence of classical solutions for differential-functional IBVP |
| title_full_unstemmed | On the existence of classical solutions for differential-functional IBVP |
| title_short | On the existence of classical solutions for differential-functional IBVP |
| title_sort | on the existence of classical solutions for differential functional ibvp |
| topic | Parabolic equation differential-functional equation deviated argument. |
| url | http://dx.doi.org/10.1155/S1085337598000608 |
| work_keys_str_mv | AT krzysztofatopolski ontheexistenceofclassicalsolutionsfordifferentialfunctionalibvp |