On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions

Boundary value problems

Yaln Gld¹ 

[1] Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, Turkey

关键词: Dirac operator;    eigenvalues;    eigenfunctions;    transmission conditions;    Green’s function;    Weyl function;    34A55;    34B24;    34L05;   

DOI  :  10.1186/s13661-016-0639-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a discontinuous Dirac operator with eigenparameter dependent both boundary and two transmission conditions. We introduce a suitable Hilbert space formulation and get some properties of eigenvalues and eigenfunctions. Then we investigate the Green’s function, the resolvent operator, and some uniqueness theorems by using the Weyl function and some spectral data.

【 授权许可】

CC BY