Spectral problem for a triple differentiation operator with asymmetric weight


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We study the spectrum of a class of two-point boundary value problems for an ordinary differential operator of triple differentiation with weight. We show that the spectrum of a problem with asymmetric weight and with periodic boundary conditions fills the entire complex plane. We present an example of a problem with asymmetric weight to which one cannot assign a given spectrum by changing only one of the boundary conditions.

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S. Jumabayev

Academy of Public Administration under the President of the Republic of Kazakhstan; Saken Seifullin Kazakh Agrotechnical University

编辑信件的主要联系方式.
Email: ser_jum@inbox.ru
哈萨克斯坦, Astana, 010000; Astana, 010011

D. Nurakhmetov

Academy of Public Administration under the President of the Republic of Kazakhstan; Saken Seifullin Kazakh Agrotechnical University

Email: ser_jum@inbox.ru
哈萨克斯坦, Astana, 010000; Astana, 010011

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