Volterra Equations of the First kind with Discontinuous Kernels in the Theory of Evolving Systems Control
Optimization and Control
2011-11-28 v1 Classical Analysis and ODEs
Abstract
The Volterra integral equations of the first kind with piecewise smooth kernel are considered. Such equations appear in the theory of optimal control of the evolving systems. The existence theorems are proved. The method for constructing approximations of parametric families of solutions of such equations is suggested. The parametric family of solutions is constructed in terms of a logarithmic-power asymptotics.
Keywords
Cite
@article{arxiv.1111.5903,
title = {Volterra Equations of the First kind with Discontinuous Kernels in the Theory of Evolving Systems Control},
author = {Denis Sidorov},
journal= {arXiv preprint arXiv:1111.5903},
year = {2011}
}
Comments
11 pages, bibl 14, Submitted to Studia Informatica Universalis