科研之友
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摘要
In this paper, we investigate a class of 2nth-order regular differential operator with eigenparameter-dependent boundary conditions and transmission conditions at an interior discontinuous point. By constructing a new linear operator A associated with the problem, we prove that the operator A is self-adjoint in a suitable Hilbert space H, and the eigenvalues of the problem coincide with those of A. In terms of basic solutions of differential equation, we show that the eigenvalues of this problem coincide with the zeros of the entire function det Phi(1,lambda), and obtain that the operator A has only point spectrum.
- 出版日期2013
- 单位内蒙古大学
