@article{Kuz_Ptashnik_2013, title={A problem with integral conditions with respect to time for Garding hyperbolic equations}, volume={65}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2416}, abstractNote={In a domain that is the Cartesian product of an interval $[0,T]$ and the space $\mathbb{R}^p$, we investigate a problem for Garding hyperbolic equations having constant coefficients with integral conditions with respect to the time variable in a class of functions almost periodic in the space variables. A criterion for the uniqueness and sufficient conditions for the existence of a solution of the problem in different functional spaces are established. To solve the problem of small denominators that arises in the solution of the problem, the metric approach is used.}, number={2}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Kuz, A. M. and Ptashnik, B. I.}, year={2013}, month={Feb.}, pages={252-265} }