Constructive solution of coupled second order delay differential equations with variable coefficients
In this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constrcted. Then, in a bounded domain, a finite analyti...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000883 |
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| author | R. J. Villanueva A. Hervas M. V. Ferrer |
| author_facet | R. J. Villanueva A. Hervas M. V. Ferrer |
| author_sort | R. J. Villanueva |
| collection | DOAJ |
| description | In this paper, we study initial value problems for coupld second order delay differential
equations with variable coefficients. By means of the application of the method of steps and
the method of Frobenius, the exact solution of the problem is constrcted. Then, in a bounded
domain, a finite analytic solution with error bounds is provided. Given an admissible error ϵ we
give the number of terms to be taken in the infinite series exact solution so that the approximation
error be smaller than in the bounded domain. |
| format | Article |
| id | doaj-art-c1f6202438e34beca5a822635dfa2a64 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c1f6202438e34beca5a822635dfa2a642025-02-03T05:54:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118468970010.1155/S0161171295000883Constructive solution of coupled second order delay differential equations with variable coefficientsR. J. Villanueva0A. Hervas1M. V. Ferrer2Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, P O Box 22 012, Valencia, SpainDepartamento de Matemática Aplicada, Universidad Politécnica de Valencia, P O Box 22 012, Valencia, SpainDpto de Matemáticas e Informática, Univ Jaume L Campus de Penyeta Rotja, Castellón, SpainIn this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constrcted. Then, in a bounded domain, a finite analytic solution with error bounds is provided. Given an admissible error ϵ we give the number of terms to be taken in the infinite series exact solution so that the approximation error be smaller than in the bounded domain.http://dx.doi.org/10.1155/S0161171295000883 |
| spellingShingle | R. J. Villanueva A. Hervas M. V. Ferrer Constructive solution of coupled second order delay differential equations with variable coefficients International Journal of Mathematics and Mathematical Sciences |
| title | Constructive solution of coupled second order delay differential equations with variable coefficients |
| title_full | Constructive solution of coupled second order delay differential equations with variable coefficients |
| title_fullStr | Constructive solution of coupled second order delay differential equations with variable coefficients |
| title_full_unstemmed | Constructive solution of coupled second order delay differential equations with variable coefficients |
| title_short | Constructive solution of coupled second order delay differential equations with variable coefficients |
| title_sort | constructive solution of coupled second order delay differential equations with variable coefficients |
| url | http://dx.doi.org/10.1155/S0161171295000883 |
| work_keys_str_mv | AT rjvillanueva constructivesolutionofcoupledsecondorderdelaydifferentialequationswithvariablecoefficients AT ahervas constructivesolutionofcoupledsecondorderdelaydifferentialequationswithvariablecoefficients AT mvferrer constructivesolutionofcoupledsecondorderdelaydifferentialequationswithvariablecoefficients |