Assanova, AnarKadirbayeva, Zhazira2022-01-262022-01-262018-03-15Assanova, A. T., & Kadirbayeva, Z. M. (2018). Periodic problem for an impulsive system of the loaded hyperbolic equations. <i>Electronic Journal of Differential Equations, 2018</i>(72), pp. 1-8.1072-6691https://hdl.handle.net/10877/15214We consider a periodic problem for a system of the loaded hyperbolic equations with impulse effects. By introducing additional functions, this problem is reduced to an equivalent problem consisting of a family of periodic boundary-value problems of loaded ordinary differential equations with impulse effects and integral relations. We obtain sufficient conditions for the existence of unique solution to the family of periodic boundary-value problems. Conditions of unique solvability of periodic problem are established in terms of initial data.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalSystem of loaded hyperbolic equationsPeriodic problemImpulse effectsSolvabilityArticle