TY - JOUR
AU - I. M. DANYLIUK
AU - A. O. DANYLIUK
PY - 2020/01/28
Y2 - 2021/07/24
TI - THE CAUCHY PROBLEM FOR A PARABOLIC SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS WITH AN OPERATOR OF VOLTERRA-FREDHOLM TYPE
JF - Acta et Commentationes Exact and Natural Sciences
JA - ActaEX
VL - 8
IS - 2
SE -
DO - 10.36120/2587-3644.v8i2.29-42
UR - https://revista.ust.md/index.php/acta_exacte/article/view/512
AB - The Cauchy problem for a parabolic system of integro-dierential equations with an operator of Volterra-Fredholm type is considered. A fundamental matrix of solutions of the problem in classical Holder spaces is constructed, the estimates for the matrix and its derivatives are established. This makes it possible to prove the correctness theorem.
ER -