Characteristic roots of a second order retarded functional differential equation via spectral-tau method
Volume 13, Issue 3, pp 147--153
http://dx.doi.org/10.22436/jnsa.013.03.03
Publication Date: November 15, 2019
Submission Date: July 28, 2019
Revision Date: September 17, 2019
Accteptance Date: October 29, 2019
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Authors
Habeeb Kareem Abdullah
- Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq.
Amal Khalaf Haydar
- Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq.
Kawther Reyadh Obead
- Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq.
Abstract
In this paper, we have found the solution of second-order delay differential equations of retarded type with multiple delays. As well as developing an approximation for finding characteristic roots for such delay differential equations via the method of spectral tau which depends on the basis mixed Fourier basis or shifted Chebyshev polynomials.
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ISRP Style
Habeeb Kareem Abdullah, Amal Khalaf Haydar, Kawther Reyadh Obead, Characteristic roots of a second order retarded functional differential equation via spectral-tau method, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 3, 147--153
AMA Style
Abdullah Habeeb Kareem, Haydar Amal Khalaf, Obead Kawther Reyadh, Characteristic roots of a second order retarded functional differential equation via spectral-tau method. J. Nonlinear Sci. Appl. (2020); 13(3):147--153
Chicago/Turabian Style
Abdullah, Habeeb Kareem, Haydar, Amal Khalaf, Obead, Kawther Reyadh. "Characteristic roots of a second order retarded functional differential equation via spectral-tau method." Journal of Nonlinear Sciences and Applications, 13, no. 3 (2020): 147--153
Keywords
- Linear functional-differential equations
- IBVPs for linear higher-order equations
- spectral theory of functional-differential operators
MSC
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