Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations

Zdzislaw Jackiewicz

doi:10.1137/0723029

Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0723029 ◽

1986 ◽

Vol 23 (2) ◽

pp. 423-452 ◽

Cited By ~ 30

Author(s):

Zdzislaw Jackiewicz

Keyword(s):

Differential Equations ◽

Multistep Methods ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Variable Step ◽

Functional Differential ◽

Predictor Corrector

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The numerical solution of neutral functional differential equations by Adams predictor- corrector methods

Applied Numerical Mathematics ◽

10.1016/0168-9274(91)90110-l ◽

1991 ◽

Vol 8 (6) ◽

pp. 477-491 ◽

Cited By ~ 17

Author(s):

Z. Jackiewicz ◽

E. Lo

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Predictor Corrector

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Variable-step variable-order algorithm for the numerical solution of neutral functional differential equations

Applied Numerical Mathematics ◽

10.1016/0168-9274(87)90036-5 ◽

1987 ◽

Vol 3 (4) ◽

pp. 317-329 ◽

Cited By ~ 9

Author(s):

Zdzislaw Jackiewicz

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Variable Order ◽

Neutral Functional Differential Equations ◽

Variable Step ◽

Functional Differential ◽

Order Algorithm

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Numerical Solution of Implicit Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s003614299731867x ◽

1999 ◽

Vol 36 (2) ◽

pp. 516-528 ◽

Cited By ~ 28

Author(s):

Yunkang Liu

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential

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Numerical solution of neutral functional differential equations by Adams methods in divided difference form

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.02.016 ◽

2006 ◽

Vol 189 (1-2) ◽

pp. 592-605 ◽

Cited By ~ 16

Author(s):

Z. Jackiewicz ◽

E. Lo

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Divided Difference ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Adams Methods ◽

Difference Form ◽

Functional Differential

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One-Step Methods of any Order for Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0721036 ◽

1984 ◽

Vol 21 (3) ◽

pp. 486-511 ◽

Cited By ~ 39

Author(s):

Zdzislaw Jackiewicz

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

One Step ◽

Functional Differential

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Equivariant Hopf bifurcation for neutral functional differential equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-08-09280-0 ◽

2008 ◽

Vol 136 (06) ◽

pp. 2031-2041 ◽

Cited By ~ 39

Author(s):

Shangjiang Guo ◽

Jeroen S. W. Lamb

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Equivariant Hopf Bifurcation

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Spline Approximations for Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0718072 ◽

1981 ◽

Vol 18 (6) ◽

pp. 1058-1080 ◽

Cited By ~ 35

Author(s):

F. Kappel ◽

K. Kunisch

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential

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Some sufficient conditions for exponential stability of linear neutral functional differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.12.014 ◽

2005 ◽

Vol 170 (1) ◽

pp. 515-530

Author(s):

Pham Huu Anh Ngoc ◽

Byung Soo Lee

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Sufficient Conditions ◽

Neutral Functional Differential Equations ◽

Functional Differential

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Existence results for nondensely defined impulsive neutral functional differential equations with infinite delay

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2010.10.012 ◽

2011 ◽

Vol 5 (3) ◽

pp. 502-512 ◽

Cited By ~ 1

Author(s):

Meili Li

Keyword(s):

Differential Equations ◽

Infinite Delay ◽

Functional Differential Equations ◽

Existence Results ◽

Neutral Functional Differential Equations ◽

Functional Differential

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Oscillation theorems for second order neutral functional differential equations

Applied Mathematics and Computation ◽

10.1016/0096-3003(92)90068-c ◽

1992 ◽

Vol 51 (2-3) ◽

pp. 119-133 ◽

Cited By ~ 8

Author(s):

S.R. Grace ◽

B.S. Lalli

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Second Order ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Oscillation Theorems

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