Spectral problem for a triple differentiation operator with asymmetric weight |
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| Authors: | S A Jumabayev D B Nurakhmetov |
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| Institution: | 1.Academy of Public Administration under the President of the Republic of Kazakhstan,Astana,Kazakhstan;2.Saken Seifullin Kazakh Agrotechnical University,Astana,Kazakhstan |
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| Abstract: | 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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