Neumann problem with the integro-differential operator in the boundary condition

被引：3

作者：

Danyliuk, I. M. ^{[1
]}

Danyliuk, A. O. ^{[2
]}

机构：

[1] Fedkovych Chernivtsi Natl Univ, Chernovtsy, Ukraine

[2] Bukovyna State Univ Finance & Econ, Chernovtsy, Ukraine

来源：

MATHEMATICAL NOTES | 2016年 / 100卷 / 5-6期

关键词：

Neumann problem; second-order parabolic equation; integro-differential operator; Holder space; Volterra-Fredholm integral equation of the second kind; EQUATIONS;

D O I：

10.1134/S0001434616110055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Neumann problem for a second-order parabolic equation with integro-differential operator in the boundary condition is considered. A well-posedness theorem is proved, in particular, the integral representation of the solution is obtained, estimates for the derivatives of the solution are established, and the kernel of the inverse operator of the problem is explicitly expressed.

引用

页码：687 / 694

页数：8

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