THIRD-ORDER OPERATOR-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS AND OPERATORS IN THE BOUNDARY CONDITIONS

被引：0

作者：

Aliev, Araz R. ^{[1
]}

Muradova, Nazila L. ^{[2
]}

机构：

[1] Baku State Univ, Inst Math & Mech NAS Azerbaijan, Baku, Azerbaijan

[2] Nakhchivan State Univ, Nakhchivan, Azerbaijan

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Operator-differential equation; discontinuous coefficient; operator-valued boundary condition; self-adjoint operator; regular solvability; Sobolev-type space; intermediate derivative operators; SOLVABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a third-order operator-differential equation on the semi-axis with a discontinuous coefficient and boundary conditions which include an abstract linear operator. Sufficient conditions for the well-posed and unique solvability are found by means of properties of the operator coefficients in a Sobolev-type space.

引用

页数：13

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