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摘要
Let A denote the operator generated in L(2)(R(+)) by the Sturm-Liouville problem: -y(n) + q(x)y = lambda(2)y, x is an element of R(+) = [0, infinity), (y'/y)(0) = (beta(1)lambda + beta(0)) = (alpha(1)lambda + alpha(0)), where q is a complex valued function and alpha(0), alpha(1), beta(0), beta(1) is an element of C, with alpha(0)beta(1) - alpha(1)beta(0)not equal 0. In this paper, using the uniqueness theorems of analytic functions, we investigate the eigenvalues and the spectral singularities of A. In particular, we obtain the conditions on q under which the operator A has a finite number of the eigenvalues and the spectral singularities.
- 出版日期2010
