On existence, uniqueness and numerical approximation for neutral equations with state-dependent delays

被引：25
作者：
Hartung, F
Herdman, TL
Turi, J
机构：
[1] VIRGINIA POLYTECH INST & STATE UNIV,INTERDISCIPLINARY CTR APPL MATH,BLACKSBURG,VA 24061
[2] UNIV TEXAS,PROGRAMS MATH SCI,RICHARDSON,TX 75083
来源：
APPLIED NUMERICAL MATHEMATICS | 1997年 / 24卷 / 2-3期
关键词：
D O I：
10.1016/S0168-9274(97)00035-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of neutral functional differential equations with state-dependant delays, and discuss existence, uniqueness, and numerical approximation of solutions of corresponding initial value problems. (C) 1997 Published by Elsevier Science B.V.
引用
收藏
页码：393 / 409
页数：17
相关论文
共 11 条
[1]   A NEUTRAL SYSTEM WITH STATE-DEPENDENT DELAY [J].
DRIVER, RD .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 54 (01) :73-86
[2]  
Driver Rodney D., 1963, Contributions to Differential Equations, V1, P317
[3]   EXISTENCE AND CONTINUOUS DEPENDENCE FOR A CLASS OF NONLINEAR NEUTRAL-DIFFERENTIAL EQUATIONS [J].
GRIMM, LJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 29 (03) :467-&
[4]   NUMERICAL APPROXIMATIONS FOR A CLASS OF DIFFERENTIAL-EQUATIONS WITH TIME-DEPENDENT AND STATE-DEPENDENT DELAYS [J].
GYORI, I ;
HARTUNG, F ;
TURI, J .
APPLIED MATHEMATICS LETTERS, 1995, 8 (06) :19-24
[5]  
Gyori I., 1991, INT J MATH MATH SCI, V14, P111, DOI DOI 10.1155/S016117129100011X
[6]  
Hale J. K., 1970, ANN MAT PUR APPL, V85, P63, DOI DOI 10.1007/BF02413530
[7]   ONE-STEP METHODS OF ANY ORDER FOR NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].
JACKIEWICZ, Z .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1984, 21 (03) :486-511
[8]  
Jackiewicz Z., 1987, FUNKC EKVACIOJ-SER I, V30, P9
[9]  
[No title captured]
[10]  
[No title captured]
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