Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces

被引：0

作者：

Al-Aidarous, Eman S. ^{[3
]}

Aliev, Araz R. ^{[1
,2
]}

Rzayev, Elvin S. ^{[2
]}

Zedan, Hassan A. ^{[4
]}

机构：

[1] Baku State Univ, Baku 1148, Azerbaijan

[2] ANAS, Inst Math & Mech, Baku 1141, Azerbaijan

[3] King Abdulaziz Univ, Jeddah 21589, Saudi Arabia

[4] Kafr El Sheikh Univ, Kafr Al Sheikh 33516, Egypt

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

elliptic operator-differential equations; unbounded operator boundary conditions; regular solution; regular solvability; the Sobolev-type space; intermediate derivative operators; STURM-LIOUVILLE OPERATOR; SPECTRAL PARAMETER; SOLVABILITY CONDITIONS; INVERSE PROBLEM; HIGH-ORDER; 2ND-ORDER;

D O I：

10.1186/s13661-015-0453-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Conditions for well-posed and unique solvability of a non-homogeneous boundary value problem for a class of fourth order elliptic operator-differential equations with an unbounded operator in boundary conditions are found in this work. Note that these solvability conditions are sufficient, and they are expressed only in terms of the properties of operator coefficients of the boundary value problem. Besides, the estimates for the norms of intermediate derivative operators in a Sobolev-type space are obtained, and their close relationship with the solvability conditions is established.

引用

页数：14

共 36 条

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