Variation formulas of solution for a controlled functional-differential equation to one class

Author: Tea Shavadze
Keywords: Controlled delay functional-differential equation, variation formula of solution, delay perturbation, continuous initial condition, increment of solution.
Annotation:

Summary The controlled differential equation with two constant delays in the phase coordinates is considered . Three types variation formulas are proved with respect to a new class of variation, which separately are corresponding to cases when variation of the initial moment take place from the left or from the right or from the both sides. The new class of variation means that the signs of variation of the initial moment and delays may be not same.

Lecture files:

ამონახსნის ვარიაციის ფორმულები ერთი კლასის სამართი ფუნქციონალურ-დიფერენციალური განტოლებისთვის [ka]