A BOUNDARY VALUE PROBLEM FOR ELLIPTIC-DIFFERENTIAL OPERATOR EQUATIONS WITH A SPECTRAL PARAMETER IN THE EQUATION AND IN THE BOUNDARY CONDITIONS

被引：0

作者：

Kurbanova, Nargul K. ^{[1
]}

机构：

[1] NAS Azerbaijan, Inst Math & Mech, 9B Vahabzadeh Str, AZ-1141 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2015年 / 41卷 / 01期

关键词：

Differential-operator equations; elliptic equations; isomorphism; spectral parameter; scattering problem; Regge problem; maximal L-p-regularity; eigenvalues;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, in a separable Hilbert space H on a finite interval we study the solvability of boundary value problems for elliptic differential-operator equations of the second order in case, when the same spectral parameter enters quadratically in the equation and enters linearly in the boundary conditions. The obtained abstract result is applied to boundary value problems for elliptic partial differential equations.

引用

页码：63 / 76

页数：14

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