TY - JOUR
AU - A. M. Kuz
AU - B. I. Ptashnik
PY - 2017/04/25
Y2 - 2020/12/05
TI - Problem with integral conditions in the time variable for Sobolevtype
system of equations with constant coefficients
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 4
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1714
AB - In a domain obtained as a Cartesian product of an interval $[0, T]$ and the space $R^p, p \in N$, for a system of equations (withconstant coefficients) unsolved with respect to the highest time derivative, we study a problem with integral conditions inthe time variable in the class of functions almost periodic in the space variables. A criterion of uniqueness and sufficientconditions for the existence of the solution of this problem in different functional spaces are established. We use the metricapproach to solve the problem of small denominators encountered in the construction of the solution.
ER -