A maximum of the first eigenvalue of semibounded differential operator with a parameter |
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| Authors: | B. E. Kanguzhin D. Dauitbek |
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| Affiliation: | 1.al-Farabi Kazakh National University,Almaty,Republic of Kazakhstan;2.al-Farabi Kazakh National University,Almaty,Republic of Kazakhstan;3.Institute of Mathematics and Mathematical Modeling of Ministry of Education and Science of Republic of Kazakhstan,Almaty,Republic of Kazakhstan |
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| Abstract: | ![]()
We consider a self-adjoint differential operator in Hilbert space. Then the domain of the operator is changed by the perturbation of the boundary conditions so that a given neighborhood “is cleared” from the points of the spectrum of the perturbed operator. For the Sturm–Liouville operator on the segment and the Laplace operator on the square such a possibility is attained via integral perturbations of boundary conditions. |
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