We prove the existence and find estimations for the periodic solution of a parabolic equation of a higher order on $t$ with an impulse action.

[1] Samoylenko A.M., Perestok M.A. Differential equations with impulse action. - K.: Vishcha shkola, 1987. - 258 p.

[2] Demidovich B.P. Lectures on the mathematical theory of stability. - M.: Nauka, 1967.-472 p.

[3] Kolesov Yu.S. On some criteria for the existence of stable periodic solutions of quasilinear parabolic equations // Reports of the USSR Academy of Sciences. 1964.-157. № 6. - p. 1288-1290.

[4] Ptashnyk B.I., Ilkiv V.S., Kmit I.Ya., Polishchuk V.M. Nonlocal boundary value problems for partial differential equations // K.: Naukova Dumka, 2002. - 415 p.

[5] Matiychuk M.I., Luchko V.M. Cauchy problem for parabolic systems with impulse action/ / Ukr. mat. zhurn. -2006.-T.58, № 11. - P.1525-1535.

[6] Luchko V.M. On the periodic solution of a parabolic equation of higher order in $t$ // Scientific Bulletin of Chernivtsi University. 2005. Issue 269. Mathematics. P. 63-67.

[7] Eidelman S.D. Parabolic systems. - M.: Nauka, 1964. 443 p.

[8] Matiychuk M.I. Parabolic singular boundary value problems. - Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1999. - 176 p.