Advanced differential equations with piecewise constant argument deviations
Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000599 |
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| _version_ | 1849306057347694592 |
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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 | Functional differential equations of advanced type with piecewise constant
argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length. |
| format | Article |
| id | doaj-art-33edbd6d6bd24e7898645c1b16f6a4a5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33edbd6d6bd24e7898645c1b16f6a4a52025-08-20T03:55:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016467170310.1155/S0161171283000599Advanced differential equations with piecewise constant argument deviationsS. M. Shah0Joseph Wiener1Department of Mathematics, University of Kentucky, Lexington 40502, Kentucky, USADepartment of Mathematics, Pan American University, Edinburg 78539, Texas, USAFunctional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.http://dx.doi.org/10.1155/S0161171283000599functional differential equationadvanced equationdifference equationpiecewise constant deviationinitial-value problemsolutionexistenceuniquenessbackward continuationgrowthstability. |
| spellingShingle | S. M. Shah Joseph Wiener Advanced differential equations with piecewise constant argument deviations International Journal of Mathematics and Mathematical Sciences functional differential equation advanced equation difference equation piecewise constant deviation initial-value problem solution existence uniqueness backward continuation growth stability. |
| title | Advanced differential equations with piecewise constant argument deviations |
| title_full | Advanced differential equations with piecewise constant argument deviations |
| title_fullStr | Advanced differential equations with piecewise constant argument deviations |
| title_full_unstemmed | Advanced differential equations with piecewise constant argument deviations |
| title_short | Advanced differential equations with piecewise constant argument deviations |
| title_sort | advanced differential equations with piecewise constant argument deviations |
| topic | functional differential equation advanced equation difference equation piecewise constant deviation initial-value problem solution existence uniqueness backward continuation growth stability. |
| url | http://dx.doi.org/10.1155/S0161171283000599 |
| work_keys_str_mv | AT smshah advanceddifferentialequationswithpiecewiseconstantargumentdeviations AT josephwiener advanceddifferentialequationswithpiecewiseconstantargumentdeviations |