FROM THE PANTOGRAPH EQUATION TO THE THEORY OF FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH LINEAR MODIFICATION OF THE ARGUMENT

被引:0
作者
Muresan, Viorica [1 ]
机构
[1] Tech Univ Cluj Napoca, Dept Math Automat & Comp Sci, Cluj Napoca, Romania
来源
APLIMAT 2007 - 6TH INTERNATIONAL CONFERENCE, PT II | 2007年
关键词
pantograph equation; functional differential equations; fixed points;
D O I
暂无
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
In the paper we present some results about pantograph equation and its generalizations and by using Picard and weakly Picard operator's technique we give existence, existence mid uniqueness and data dependence results for the solutions of some problems for differential equations with linear modification of the argument.
引用
收藏
页码:245 / 256
页数:12
相关论文
共 47 条
[1]  
Azbelev N.V., 1991, Introduction to the Theory of Functional Differential Equations
[2]   Asymptotic stability properties of Theta-methods for the pantograph equation [J].
Bellen, A ;
Guglielmi, N ;
Torelli, L .
APPLIED NUMERICAL MATHEMATICS, 1997, 24 (2-3) :279-293
[3]  
Bellman R., 1963, DIFFERENTIAL DIFFERE
[4]  
Bernfeld S., 1974, INTRO NONLINEAR BOUN
[5]  
BUHMANN M, 1993, MATH COMPUT, V60, P575, DOI 10.1090/S0025-5718-1993-1176707-2
[6]   ON THE DYNAMICS OF A DISCRETIZED NEUTRAL EQUATION [J].
BUHMANN, MD ;
ISERLES, A .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1992, 12 (03) :339-363
[7]  
Carr J., 1974, Proc. R. Soc. Edinb., Sect. A, V74, P165
[8]  
CARR J, 1974, LECT NOTES MATH, V415, P323
[9]  
DERFEL GA, 1989, MATH SURV, V44, P181
[10]  
DERFEL GA, 1985, DIFFERENTSIALNOFUNKT, P25