ON A BOUNDARY VALUE PROBLEM WITH MATRIX COEFFICIENT WHICH HAS SPECTRAL PARAMETER IN BOUNDARY CONDITION

被引：0

作者：

Akgun, Fatma Aydin ^{[1
]}

Bayramoglu, Mehmet ^{[1
]}

机构：

[1] Yildiz Tekn Univ, Kimya Metaluji Fak, Matemat Muhendisligi Bolomu, Istanbul, Turkey

来源：

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2008年 / 26卷 / 03期

关键词：

Self-adjoint operator; spectral parameter; eigenvalue; eigenfunction;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper following boundary value problem is considered. - y'' + Q(x) y = lambda R(x) y, a < x < b y' (x) = 0 beta(1)y(b) - beta(2)y'(b) = lambda alpha y(b) Here Q(x), R(x) is n x n self-adjoint matrix functions, R(x) is positive matrix, alpha, beta(1), beta(2) are constants satisfy some conditions and lambda is a spectral parameter. The spectrum of considered boundary value problem is investigated and the expansion formulas according to eigenvalues are obtained.

引用

页码：175 / 190

页数：16

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