The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind

Analog of the Gellerstedt problem for a loaded equation of the third order

“…Hence, by virtue of the (20), (25), and (48), with considering (42), (50), and (51), we uniquely define functions (x) and (x). Thus, the solution u(x, y) of the problem G 1 in Ω 2 and Ω 3 dis efined by the formula (15 j ), respectively, j = 2, 3.…”

“…Gellerstedt problems in the classical statement were studied in the monograph. 6, p186 The recent works [25][26][27][28] investigated the Gellerstedt problem for a mixed type equations. As far as we know, the Gellerstedt problem for a loaded mixed type equation of the third order has not been investigated before.…”