VARIATION FORMULAS OF SOLUTION FOR A CONTROLLED FUNCTIONAL-DIFFERENTIAL EQUATION CONSIDERING DELAY PERTURBATION

Yıl 2011, Cilt: 01 Sayı: 1, 58 - 68, 01.06.2011

Tamaz Tadumadze Abdeljalil Nachaoui

Öz

Variation formulas of solution are proved for a controlled non-linear functionaldifferential equation with constant delay and the continuous initial condition. In this paper, the essential novelty is the effect of delay perturbation in the variation formulas.The continuity of the initial condition means that the values of the initial function and the trajectory always coincide at the initial moment.

Anahtar Kelimeler

Controlled delay functional-differential equation, variation formula of solution, effect of delay perturbation, continuous initial condition

Kaynakça

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• Tamaz Tadumadze was born in the village Khunjulauri, Samtredya re- gion, Georgia, 1947. Graduated with Honors from Tbilisi State University