SMOOTH SOLUTIONS OF A NONHOMOGENEOUS ITERATIVE FUNCTIONAL-DIFFERENTIAL EQUATION

Authors
SI JG CHENG SS
Citation
Jg. Si et Ss. Cheng, SMOOTH SOLUTIONS OF A NONHOMOGENEOUS ITERATIVE FUNCTIONAL-DIFFERENTIAL EQUATION, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 821-831
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
4
Pages
821 - 831
Database
ISI
SICI code
0308-2105(1998)128:<821:SSOANI>2.0.ZU;2-3
Abstract
This paper is concerned with an iterative functional differential equa tion x'(t)= c(1)x(t) + c(2)x([2])(t) +... c(m)x([m])(t) + F(t), where x([i])(t) is the i-th iterate of the function x(t). By means of Schaud er's Fixed Point Theorem, we establish a local existence theorem for s mooth solutions which also depend continuously on the forcing function F(t).