The Local Representation Formula of Solution for the Perturbed Controlled Differential Equation with Delay and Discontinuous Initial Condition

Mathematics

T. Shavadze¹  T. Tadumadze¹  A. Nachaoui² 

[1] I. Vekua Institute of Applied Mathematics, 2 University St., 0186 Tbilisi, Georgia;Jean Leray Laboratory of Mathematics, University of Nantes, CNRS UMR 6629 2 rue de Houssiniere, B.P. 92208, 44322 Nantes, France;

关键词: delay-controlled differential equation;    representation of solution;    discontinuous initial condition;    perturbations;   

DOI  :  10.3390/math8101845

来源: DOAJ

【 摘 要 】

For the perturbed controlled nonlinear delay differential equation with the discontinuous initial condition, a formula of the analytic representation of solution is proved in the left neighborhood of the endpoint of the main interval. In the formula, the effects of perturbations of the delay parameter, the initial vector, the initial and control functions are detected.

【 授权许可】

Unknown