@article{Kuz_Ptashnik_2015, title={A Problem with Condition Containing an Integral Term for a Parabolic-Hyperbolic Equation}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2011}, abstractNote={In a layer obtained as the Cartesian product of an interval $[−T_1 ,T_2], T_1 ,T_2 > 0$, and a space $ℝ_p, p ≥ 1$, we study a problem with nonlocal condition in the time variable containing an integral term for a mixed parabolic-hyperbolic equation in the class of functions almost periodic in the space variables. For this problem, we establish a criterion of uniqueness and sufficient conditions for the existence of solutions. To solve the problem of small denominators encountered in the construction of the solution, we use the metric approach.}, number={5}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Kuz, A. M. and Ptashnik, B. I.}, year={2015}, month={May}, pages={635-644} }