Start Date: 2007-01-01 End Date: 2008-12-31
An inverse problem for the linear control delay differential equations with non-fixed initial function , non-fixed initial moment and vector is posed. On purpose to the approximate solving of the inverse problem, its corresponding the ,,regularization” optimal control problem is considered and appropriate necessary conditions of optimality are obtained. The inverse problem , when initial moment and vector are fixed, by iteration method is approximately solved.
In the framework of the project two articles are published:
8.1. Tadumadze T., Nachaoui A., Arsenashvili A. On approximate solving of a class of an inverse problem for the linear delay differential equations. Bull. Georg. Nati. Acad. Sci.,v.2, no. 2 (2008), 24-28 .
8.2. Tadumadze T. An inverse problem for some classes of linear functional differential equations. J. App. and Comput. Math. V. 8, # 2, 2009, 239-250.
T. Tadumadze and A. Arsenashvili participated in conferences which held in 2007 and 2008 within the framework of the project ( J. Lere Mathematics Laboratory of Nantes University). A. Nachaoui participated in the scientific seminars which held in 2007 and 2008 within the framework of the project (TSU I. Vekua Institute of Applied Mathematics).