Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2014.1309nm ◽

2014 ◽

Vol 7 (2) ◽

pp. 149-178 ◽

Author(s):

Lijun Yi and Zhongqing Wang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Second Order ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations

CALCOLO ◽

10.1007/s10092-015-0169-5 ◽

2015 ◽

Vol 53 (4) ◽

pp. 691-721 ◽

Author(s):

Lijun Yi ◽

Zhongqing Wang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

First Order ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Anh-pversion of the Chebyshev spectral collocation method for nonlinear delay differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22318 ◽

2018 ◽

Vol 35 (2) ◽

pp. 664-680

Author(s):

Tingting Meng ◽

Zhongqing Wang ◽

Lijun Yi

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Chebyshev Spectral Collocation Method ◽

Nonlinear Delay

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Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2769 ◽

2013 ◽

Vol 36 (18) ◽

pp. 2476-2491 ◽

Author(s):

Yi Li-jun ◽

Liang Zi-qiang ◽

Wang Zhong-qing

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Global solutions of a singular initial value problem to second order nonlinear delay differential equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2005.12.005 ◽

2006 ◽

Vol 43 (7-8) ◽

pp. 854-869 ◽

Author(s):

R.P. Agarwal ◽

Ch.G. Philos ◽

P.Ch. Tsamatos

Keyword(s):

Differential Equations ◽

Initial Value Problem ◽

Delay Differential Equations ◽

Global Solutions ◽

Second Order ◽

Initial Value ◽

Singular Initial Value Problem ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Asymptotic behavior of solutions of second-order nonlinear delay differential equations with impulses

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.06.031 ◽

2010 ◽

Vol 233 (9) ◽

pp. 2105-2111 ◽

Author(s):

Xiaosong Tang

Keyword(s):

Asymptotic Behavior ◽

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Asymptotic Behavior Of Solutions ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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BOUNDED OSCILLATION FOR SECOND-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS

Journal of applied mathematics & informatics ◽

10.14317/jami.2014.447 ◽

2014 ◽

Vol 32 (3_4) ◽

pp. 447-454 ◽

Author(s):

Xia Song ◽

Quanxin Zhang

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Existence of solutions of a boundary value problem on the half-line to second order nonlinear delay differential equations

Archiv der Mathematik ◽

10.1007/s00013-005-1155-y ◽

2006 ◽

Vol 86 (2) ◽

pp. 163-175 ◽

Author(s):

K. G. Mavridis ◽

Ch. G. Philos ◽

P. Ch. Tsamatos

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Delay Differential Equations ◽

Existence Of Solutions ◽

Boundary Value ◽

Second Order ◽

Half Line ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Interval Oscillation Criteria for Second Order Nonlinear Delay Differential Equations

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181069815 ◽

2004 ◽

Vol 34 (4) ◽

pp. 1539-1563

Author(s):

Qigui Yang ◽

Ronald M. Mathsen

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Oscillation Criteria ◽

Interval Oscillation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Some oscillation criteria for second order nonlinear delay-differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(70)90153-8 ◽

1970 ◽

Vol 30 (3) ◽

pp. 695-701 ◽

Author(s):

V.A Staikos ◽

A.G Petsoulas

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Oscillation Criteria ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Chebyshev operational matrix for solving fractional order delay-differential equations using spectral collocation method

Arab Journal of Basic and Applied Sciences ◽

10.1080/25765299.2019.1629543 ◽

2019 ◽

Vol 26 (1) ◽

pp. 342-353 ◽

Author(s):

Khalid K. Ali ◽

Mohammad A. Abd El Salam ◽

Emad M. Mohamed

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Fractional Order ◽

Delay Differential Equations ◽

Operational Matrix ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Delay Differential

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