-
1
-
-
0036031976
-
Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay
-
Bellen A. Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay. IMA J. Numer. Anal. 22 (2002) 529-536
-
(2002)
IMA J. Numer. Anal.
, vol.22
, pp. 529-536
-
-
Bellen, A.1
-
2
-
-
0035541115
-
Geometric meshes in collocation methods for Volterra integral equations with proportional delays
-
Brunner H., Hu Q., and Lin Q. Geometric meshes in collocation methods for Volterra integral equations with proportional delays. IMA J. Numer. Anal. 21 (2001) 783-798
-
(2001)
IMA J. Numer. Anal.
, vol.21
, pp. 783-798
-
-
Brunner, H.1
Hu, Q.2
Lin, Q.3
-
3
-
-
0000826399
-
On the attainable order of collocation methods for the neutral functional-differential equations with proportional delays
-
Ishiwata E. On the attainable order of collocation methods for the neutral functional-differential equations with proportional delays. Computing 64 (2000) 207-222
-
(2000)
Computing
, vol.64
, pp. 207-222
-
-
Ishiwata, E.1
-
4
-
-
0000361452
-
On the attainable order of collocation methods for the delay differential equations with proportional delay
-
Takama N., Muroya Y., and Ishiwata E. On the attainable order of collocation methods for the delay differential equations with proportional delay. BIT 40 (2000) 374-394
-
(2000)
BIT
, vol.40
, pp. 374-394
-
-
Takama, N.1
Muroya, Y.2
Ishiwata, E.3
-
5
-
-
34247183596
-
Rational approximation method for delay differential equations with proportional delay
-
Ishiwata E., and Muroya Y. Rational approximation method for delay differential equations with proportional delay. Appl. Math. Comput. 187 (2007) 741-747
-
(2007)
Appl. Math. Comput.
, vol.187
, pp. 741-747
-
-
Ishiwata, E.1
Muroya, Y.2
-
6
-
-
0037336074
-
On the attainable order of collocation methods for pantograph integro-differential equations
-
Muroya Y., Ishiwata E., and Brunner H. On the attainable order of collocation methods for pantograph integro-differential equations. J. Comput. Appl. Math. 152 (2003) 347-366
-
(2003)
J. Comput. Appl. Math.
, vol.152
, pp. 347-366
-
-
Muroya, Y.1
Ishiwata, E.2
Brunner, H.3
-
7
-
-
4644238532
-
Functional differential equations: Some models and perturbation problems
-
Hale J.K., and Lasalle J.P. (Eds), Academic Press, New York
-
Cooke K.L. Functional differential equations: Some models and perturbation problems. In: Hale J.K., and Lasalle J.P. (Eds). Differential Equations and Dynamical Systems (1967), Academic Press, New York
-
(1967)
Differential Equations and Dynamical Systems
-
-
Cooke, K.L.1
-
8
-
-
0002924799
-
On certain type of functional differential equations
-
Feckan E. On certain type of functional differential equations. Math. Slovaca 43 (1993) 39-43
-
(1993)
Math. Slovaca
, vol.43
, pp. 39-43
-
-
Feckan, E.1
-
9
-
-
84968490632
-
Existence and continuous dependence for a class of nonlinear neutral-differential equations
-
Grimm L.J. Existence and continuous dependence for a class of nonlinear neutral-differential equations. Proc. Amer. Math. Soc. 29 (1971) 467-473
-
(1971)
Proc. Amer. Math. Soc.
, vol.29
, pp. 467-473
-
-
Grimm, L.J.1
-
10
-
-
0000145833
-
A two-body problem of classical electrodynamics: The one-dimensional case
-
Driver R.D. A two-body problem of classical electrodynamics: The one-dimensional case. Ann. Physics 21 (1963) 122-142
-
(1963)
Ann. Physics
, vol.21
, pp. 122-142
-
-
Driver, R.D.1
-
11
-
-
84968484393
-
On the local existence of solutions of certain functional differential equations
-
Oberg R.J. On the local existence of solutions of certain functional differential equations. Proc. Amer. Math. Soc. 20 (1969) 295-302
-
(1969)
Proc. Amer. Math. Soc.
, vol.20
, pp. 295-302
-
-
Oberg, R.J.1
-
12
-
-
0007761940
-
Existence and uniqueness of solutions of neutral delay-differential equations with state dependent delays
-
Jackiewicz Z. Existence and uniqueness of solutions of neutral delay-differential equations with state dependent delays. Funkcial. Ekvac. 30 (1987) 9-17
-
(1987)
Funkcial. Ekvac.
, vol.30
, pp. 9-17
-
-
Jackiewicz, Z.1
-
13
-
-
0036143146
-
Analytic solutions of a second-order iterative functional differential equation
-
Si J.-G., and Wang X.-P. Analytic solutions of a second-order iterative functional differential equation. Comput. Math. Appl. 43 (2002) 81-90
-
(2002)
Comput. Math. Appl.
, vol.43
, pp. 81-90
-
-
Si, J.-G.1
Wang, X.-P.2
-
14
-
-
33645638037
-
Spurious numerical solutions of delay differential equations
-
Tian H.-j., Fan L.-q., Zhang Y.-y., and Xiang J.-x. Spurious numerical solutions of delay differential equations. J. Comput. Math. 24 2 (2006) 181-192
-
(2006)
J. Comput. Math.
, vol.24
, Issue.2
, pp. 181-192
-
-
Tian, H.-j.1
Fan, L.-q.2
Zhang, Y.-y.3
Xiang, J.-x.4
-
15
-
-
30144436054
-
A class of two-step continuity Runge-Kutta methods for solving singular delay differential equations and its stability analysis
-
Leng X., Liu D.-g., Song X.-q., and Chen L.-r. A class of two-step continuity Runge-Kutta methods for solving singular delay differential equations and its stability analysis. J. Comput. Math. 23 6 (2005) 647-656
-
(2005)
J. Comput. Math.
, vol.23
, Issue.6
, pp. 647-656
-
-
Leng, X.1
Liu, D.-g.2
Song, X.-q.3
Chen, L.-r.4
-
16
-
-
0001060056
-
Existence and uniqueness theorems for some functional differential equations of neutral type
-
Nussbaum R.D. Existence and uniqueness theorems for some functional differential equations of neutral type. J. Differential Equations 11 (1972) 607-623
-
(1972)
J. Differential Equations
, vol.11
, pp. 607-623
-
-
Nussbaum, R.D.1
-
17
-
-
0001255506
-
Monotonic and oscillatory solutions of a linear neutral delay equation with infinite lag
-
Kuang Y., and Feldstein A. Monotonic and oscillatory solutions of a linear neutral delay equation with infinite lag. SIAM J. Math. Anal. 21 (1990) 1633-1641
-
(1990)
SIAM J. Math. Anal.
, vol.21
, pp. 1633-1641
-
-
Kuang, Y.1
Feldstein, A.2
-
18
-
-
0031081849
-
On neutral functional-differential equation with proportional delays
-
Iserles A., and Liu Y. On neutral functional-differential equation with proportional delays. J. Math. Anal. Appl. 207 (1997) 73-95
-
(1997)
J. Math. Anal. Appl.
, vol.207
, pp. 73-95
-
-
Iserles, A.1
Liu, Y.2
-
19
-
-
21844488753
-
Stability analysis of θ-methods for neutral functional differential equations
-
Liu Y. Stability analysis of θ-methods for neutral functional differential equations. Numer. Math. 70 (1995) 473-485
-
(1995)
Numer. Math.
, vol.70
, pp. 473-485
-
-
Liu, Y.1
-
20
-
-
1942425045
-
Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations
-
Zhang C.J., and Sun G. Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations. Math. Comput. Modelling 39 (2004) 495-503
-
(2004)
Math. Comput. Modelling
, vol.39
, pp. 495-503
-
-
Zhang, C.J.1
Sun, G.2
-
21
-
-
0031276989
-
Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations
-
Zhang C.J., and Zhou S.Z. Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations. J. Comput. Appl. Math. 85 (1997) 225-237
-
(1997)
J. Comput. Appl. Math.
, vol.85
, pp. 225-237
-
-
Zhang, C.J.1
Zhou, S.Z.2
-
22
-
-
0033097062
-
Stability and error analysis of one-leg methods for nonlinear delay differential equations
-
Huang C.M., Li S.F., Fu H.Y., and Chen G.N. Stability and error analysis of one-leg methods for nonlinear delay differential equations. J. Comput. Appl. Math. 103 (1999) 263-279
-
(1999)
J. Comput. Appl. Math.
, vol.103
, pp. 263-279
-
-
Huang, C.M.1
Li, S.F.2
Fu, H.Y.3
Chen, G.N.4
-
23
-
-
31244435236
-
The discrete dynamics of nonlinear infinite-delay-differential equations
-
Zhang C.J., and Sun G. The discrete dynamics of nonlinear infinite-delay-differential equations. Appl. Math. Lett. 15 5 (2002) 521-526
-
(2002)
Appl. Math. Lett.
, vol.15
, Issue.5
, pp. 521-526
-
-
Zhang, C.J.1
Sun, G.2
|