JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ANALYTIC SOLUTIONS OF A FUNCTIONAL DIFFERENTIAL EQUATION WITH PROPORTIONAL DELAYS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ANALYTIC SOLUTIONS OF A FUNCTIONAL DIFFERENTIAL EQUATION WITH PROPORTIONAL DELAYS
Si, Jian-Guo; Cheng, Sui-Sun;
  PDF(new window)
 Abstract
By means of the method of majorant series, sufficient conditions are obtained for the existence of analytic solutions of a functional differential equation with proportional delays.
 Keywords
functional differential equation;proportional delay;analytic solution;
 Language
English
 Cited by
1.
Recent advances in the numerical analysis of Volterra functional differential equations with variable delays, Journal of Computational and Applied Mathematics, 2009, 228, 2, 524  crossref(new windwow)
2.
Direct operatorial tau method for pantograph-type equations, Applied Mathematics and Computation, 2012, 219, 4, 2194  crossref(new windwow)
3.
Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays, Frontiers of Mathematics in China, 2009, 4, 1, 3  crossref(new windwow)
 References
1.
E. K. Ifantis, An existence theory for functional-differential equation andfunctional-differential systems, J. Diff. Eq. 29 (1978), 86-104. crossref(new window)

2.
L. Fox, D. F. Mayers, J. R. Ockendon, and A. B. Tayler, On a functionaldifferentialequation, J. Inst. Math. Appl. 8 (1971), 271-307. crossref(new window)

3.
T. Kato and J. B. Mcleod, The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$ Bull. Amer. Math. Soc. 77 (1971), 891-937. crossref(new window)

4.
A. Feldstein and Z. Jackiewicz, Unstable neutral functional differential equation, Canad. Math. Bull. 33 (1990), 428-433. crossref(new window)

5.
A. Iserles and Y. Liu, On neutral functional-differential equations with proportionaldelays, J. Math. Anal. Appl. 207 (1997), 73-95. crossref(new window)

6.
J. Carr and J. Dyson, The functional differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right $, Proc. Royal Soc. Edinburgh 74A (1976), 5-22.