Boundary value problems for differential equations with delayed arguments.
by
Tadeusz Jankowski
Gdansk University of Technology, Dept. Diff. Equs., 11/12 Narutowicz Str., 80-952 Gdansk, Poland

Consider the problem

ì í î x'(t)=f(t, x(t), x(\alpha(t)),     t in J=[0, T], x(0)=\lambdax(T)+ - k   , \leqno(1)

where f in C(J×R², R),   \alpha in C(J, J),   \alpha(t) <= t,   \lambda, [`k] in R.

The monotone iterative technique is applied to obtain sufficient conditions for the existence of solutions (or extremal solutions) of problems of type (1).

Date received: January 31, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakr-00.