Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices
Nonhomogeneous system of linear differential equations of second order with multiple different delays and pairwise permutable matrices defining the linear parts is considered. Solution of corresponding initial value problem is represented using matrix polynomials.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/931493 |
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| _version_ | 1832559969661091840 |
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| author | Josef Diblík Michal Fečkan Michal Pospíšil |
| author_facet | Josef Diblík Michal Fečkan Michal Pospíšil |
| author_sort | Josef Diblík |
| collection | DOAJ |
| description | Nonhomogeneous system of linear differential equations of second order with multiple different delays and pairwise permutable matrices defining the linear parts is considered. Solution of corresponding initial value problem is represented using matrix polynomials. |
| format | Article |
| id | doaj-art-57836b01f0b54767b51d384fbfd69a86 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-57836b01f0b54767b51d384fbfd69a862025-02-03T01:28:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/931493931493Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable MatricesJosef Diblík0Michal Fečkan1Michal Pospíšil2Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 3058/10, 616 00 Brno, Czech RepublicDepartment of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, SlovakiaCentre for Research and Utilization of Renewable Energy, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 3058/10, 616 00 Brno, Czech RepublicNonhomogeneous system of linear differential equations of second order with multiple different delays and pairwise permutable matrices defining the linear parts is considered. Solution of corresponding initial value problem is represented using matrix polynomials.http://dx.doi.org/10.1155/2013/931493 |
| spellingShingle | Josef Diblík Michal Fečkan Michal Pospíšil Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices Abstract and Applied Analysis |
| title | Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices |
| title_full | Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices |
| title_fullStr | Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices |
| title_full_unstemmed | Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices |
| title_short | Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices |
| title_sort | representation of a solution of the cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices |
| url | http://dx.doi.org/10.1155/2013/931493 |
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