J. Šremr

On the Cauchy Type Problem for Two-Dimensional Functional Differential Systems

abstract:
In this paper, we establish new efficient conditions sufficient for the solvability as well as unique solvability of the Cauchy type problem for two-dimensional functional differential systems in both linear and nonlinear cases. The main results are applied in the case where the system considered is the differential system with argument deviations.

Mathematics Subject Classification: 434K10, 34K06

Key words and phrases: Two-dimensional functional differential system, Cauchy type problem, solvability, unique solvability