A trace formula for the Sturm-Liouville type equation with retarded argument | Zendy

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A trace formula for the Sturm-Liouville type equation with retarded argument

Author(s) -

HIRA Fatma

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000782

Subject(s) - sturm–liouville theory , trace (psycholinguistics) , eigenvalues and eigenvectors , argument (complex analysis) , mathematics , type (biology) , boundary value problem , boundary (topology) , mathematical analysis , pure mathematics , physics , philosophy , chemistry , quantum mechanics , ecology , linguistics , biochemistry , biology

In this paper, we deal with a discontinuous Sturm-Liouville problem with retarded argument and eigenparameter-dependent boundary conditions. We obtain the asymptotic formulas for the eigenvalues and the regularized trace formula for the problem

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