Reducible functional differential equations
This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000011 |
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| _version_ | 1850234428417114112 |
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| author | S. M. Shah Joseph Wiener |
| author_facet | S. M. Shah Joseph Wiener |
| author_sort | S. M. Shah |
| collection | DOAJ |
| description | This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general argument deviations. Reducible FDE also find important applications in the study of stability of differential-difference equations and arise in a number of biological models. |
| format | Article |
| id | doaj-art-0f04d7788c7c4ac8a7884be99940afde |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0f04d7788c7c4ac8a7884be99940afde2025-08-20T02:02:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018112710.1155/S0161171285000011Reducible functional differential equationsS. M. Shah0Joseph Wiener1Department of Mathematics, University of Kentucky, Lexington 40506, Kentucky, USADepartment of Mathematics, Pan American University, Edinburg 78539, Texas, USAThis is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general argument deviations. Reducible FDE also find important applications in the study of stability of differential-difference equations and arise in a number of biological models.http://dx.doi.org/10.1155/S0161171285000011functional differential equationargument deviationinvolution. |
| spellingShingle | S. M. Shah Joseph Wiener Reducible functional differential equations International Journal of Mathematics and Mathematical Sciences functional differential equation argument deviation involution. |
| title | Reducible functional differential equations |
| title_full | Reducible functional differential equations |
| title_fullStr | Reducible functional differential equations |
| title_full_unstemmed | Reducible functional differential equations |
| title_short | Reducible functional differential equations |
| title_sort | reducible functional differential equations |
| topic | functional differential equation argument deviation involution. |
| url | http://dx.doi.org/10.1155/S0161171285000011 |
| work_keys_str_mv | AT smshah reduciblefunctionaldifferentialequations AT josephwiener reduciblefunctionaldifferentialequations |