THE θ-METHODS FOR THE DELAY DIFFERENTIAL EQUATIONS

被引：0
作者：
Jansky, Jiri [1 ]
机构：
[1] Brno Univ Technol, Brno 61669, Czech Republic
来源：
APLIMAT 2009: 8TH INTERNATIONAL CONFERENCE, PROCEEDINGS | 2009年
关键词：
The theta-method; pantograph equation; asymptotic estimate; STABILITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the discretization of the delay differential equations. We pay the special attention to the theta-methods for these equations. In particular, we study the qualitative behaviour of solutions of this method applied to the pantograph equation.
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页码：165 / 174
页数：10
相关论文
共 12 条
[1]  
BUHMANN M, 1993, MATH COMPUT, V60, P575, DOI 10.1090/S0025-5718-1993-1176707-2
[2]   The asymptotic of solutions for a class of delay differential equations [J].
Cermák, J .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2003, 33 (03) :775-786
[3]   On a linear differential equation with a proportional delay [J].
Cermak, Jan .
MATHEMATISCHE NACHRICHTEN, 2007, 280 (5-6) :495-504
[4]  
Iserles A., 1993, EUR J APPL MATH, V4, P1, DOI [DOI 10.1017/S0956792500000966), DOI 10.1017/S0956792500000966, 10.1017/S0956792500000966]
[5]  
ISERLES A, 1994, ANN NUMER MATH, V1, P133
[6]  
KATO T, 1971, B AM MATH SOC, V77, P891
[7]  
Koto T, 1999, NUMER MATH, V84, P233, DOI 10.1007/s002119900101
[8]  
Kundrát P, 2006, OPUSC MATH, V26, P499
[9]   The functional-differential equation y′(t)=Ay(t)+By(qt)+Cy′(qt)+f(t) [J].
Lehninger, H ;
Liu, YK .
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 1998, 9 :81-91
[10]   The stability of modified Runge-Kutta methods for the pantograph equation [J].
Liu, M. Z. ;
Yang, Z. W. ;
Xu, Y. .
MATHEMATICS OF COMPUTATION, 2006, 75 (255) :1201-1215
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