Email this article A Problem with Integral Conditions with Respect to Time for Shilov Parabolic Systems of Equations
- Authors: Kuz’ A.M.1
-
Affiliations:
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 217, No 2 (2016)
- Pages: 149-165
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238003
- DOI: https://doi.org/10.1007/s10958-016-2963-2
- ID: 238003
Cite item
Open Access
Access granted
Subscription Access
Abstract
In a domain specified in the form of the Cartesian product of an interval [0,T] and a space ℝp, we study a problem with integral conditions with respect to the time coordinate for Shilov parabolic systems of equations in the class of functions almost periodic with respect to the space variables. We establish a criterion of uniqueness and sufficient conditions for the existence of a solution of the problem. To solve the problem of small denominators encountered in the construction of the solution, we apply the metric approach.
About the authors
A. M. Kuz’
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
Supplementary files
