TY - JOUR AU - Abdullah, Habeeb Kareem AU - Haydar, Amal Khalaf AU - Obead, Kawther Reyadh PY - 2020 TI - Characteristic roots of a second order retarded functional differential equation via spectral-tau method JO - Journal of Nonlinear Sciences and Applications SP - 147--153 VL - 13 IS - 3 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.013.03.03 DO - 10.22436/jnsa.013.03.03 ID - Abdullah2020 ER - TY - JOUR TI - Solving of third order retarded dynamical system via lambert W function and stability analysis AU - H. K. Abdullah AU - A. K. Haydar AU - K. R. Obead JO - World Wide J. Multidisciplin. Res. Develop. PY - 2018 DA - 2018// VL - 4 ID - Abdullah2018 ER - TY - JOUR TI - Solving retarded dynamical system of nth- order and stability analysis via lambert W function AU - H. K. Abdullah AU - A. K. Haydar AU - K. R. Obead JO - Int. J. Pure Appl. Math. PY - 2018 DA - 2018// VL - 118 ID - Abdullah2018 ER - TY - BOOK TI - Delay differential equations and application AU - O. Arino AU - M. L. Hbid AU - E. A. Dads PB - Springer PY - 2006 DA - 2006// CY - The Nethelands ID - Arino2006 ER - TY - JOUR TI - Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems AU - A. Bellen AU - S. Maset JO - Numer. Math. PY - 2000 DA - 2000// VL - 84 ID - Bellen2000 ER - TY - BOOK TI - Chebyshev and Fourier Spectral Methods AU - J. P. Boyd PB - Dover Publ. Inc. PY - 2001 DA - 2001// CY - Mineola ID - Boyd2001 ER - TY - JOUR TI - Time response of a scalar dynamical system with multiple delays via Lambert W functions AU - S.-T. Chen AU - S.-P. Hsu AU - H.-N. Huang AU - B.-Y. Yang JO - arXiv PY - 2016 DA - 2016// VL - 2016 ID - Chen2016 ER - TY - BOOK TI - Introduction to the theory and application of differential equations with deviating arguments AU - L. E. Èlʹsgolʹts AU - S. B. Norkin PB - Academic Press PY - 1973 DA - 1973// CY - New York-London ID - Èlʹsgolʹts1973 ER - TY - JOUR TI - Method of lines approximations of delay differential equations AU - T. Koto JO - Comput. Math. Appl. PY - 2004 DA - 2004// VL - 48 ID - Koto2004 ER - TY - JOUR TI - On the $\tau$-decomposition method of stability analysis for retarded dynamical systems AU - M. S. Lee AU - C. S. Hsu JO - SIAM J. Control PY - 1969 DA - 1969// VL - 7 ID - Lee1969 ER - TY - JOUR TI - Oscillation of fourth-order neutral differential equations with $p$--Laplacian like operators AU - T. X. Li AU - B. Baculíková AU - J. Džurina AU - C. H. Zhang JO - Bound. Value Probl. PY - 2014 DA - 2014// VL - 2014 ID - Li2014 ER - TY - JOUR TI - Oscillation of second-order nonlinear delay differential equations with nonpositive neutral coefficients AU - Q. Li AU - R. Wang AU - F. Chen AU - T. X. Li JO - Adv. Difference Equ. PY - 2015 DA - 2015// VL - 2015 ID - Li2015 ER - TY - JOUR TI - Some physical applications of generalized Lambert functions AU - I. Mezo AU - G. Keady JO - Eur. J. Phys. PY - 2016 DA - 2016// VL - 37 ID - Mezo2016 ER - TY - BOOK TI - Delay and functional differential equations and their applications AU - K. Schmitt PB - Academic Press PY - 1972 DA - 1972// CY - New York-London ID - Schmitt1972 ER - TY - JOUR TI - A Lambert W function a approach for solution of second order delay differential equation as a special case of the one-mass system controlled over the network AU - S. S. Sujitha AU - D. Piriadarshani JO - Int. J. Mech. Eng. Tech. PY - 2017 DA - 2017// VL - 8 ID - Sujitha2017 ER - TY - JOUR TI - Spectral approximations for characteristic roots of delay differential equations AU - C. P. Vyasarayani AU - S. Subhash AU - T. Kalmar-Nagy JO - Int. J. Dynam. Control. PY - 2014 DA - 2014// VL - 2 ID - Vyasarayani2014 ER - TY - JOUR TI - Galerkin projections for delay differential equations AU - P. Wahi AU - A. Chatterjee JO - J. Dyn. Syst. Meas. Control. PY - 2005 DA - 2005// VL - 127 ID - Wahi2005 ER -