Author:
Du Gaofeng,Gao Chenghua,Wang Jingjing
Abstract
<abstract><p>In this paper, we study the spectral properties of the Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions. In details, we introduce a Hilbert space formula, so that the problem we consider can be interpreted as an eigenvalue problem of an self-adjoint operator. Moreover, the Green's function and the resolvent of the related linear operator are obtained.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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