Oscillatory properties of selfadjoint boundary problems of the fourth order
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A. A. Vladimirov and A. A. Shkalikov
Translated by: S. V. Kislyakov - St. Petersburg Math. J. 35 (2024), 83-100
- DOI: https://doi.org/10.1090/spmj/1794
- Published electronically: April 12, 2024
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Abstract:
A series of results and methods is presented, which make it possible to trace the relationship between the number of inner zeros of nontrivial solutions of fourth order selfadjoint boundary problems with separated boundary conditions and the negative inertia index.References
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Bibliographic Information
- A. A. Vladimirov
- Affiliation: Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Dorodnicyn Computing Centre of RAS, Moscow; and Moscow Center of Fundamental and Applied Mathematics, Lomonosov State University, Moscow
- Email: vladimirov@shkal.math.msu.su
- A. A. Shkalikov
- Affiliation: Depertment of Mechanics and Mathematics, Lomonosov State University, Moscow
- Email: ashkaliko@yandex.ru, shkalikov@mi-ras.ru
- Received by editor(s): February 13, 2022
- Published electronically: April 12, 2024
- Additional Notes: The work was supported by the Russian Science Foundation, grant no. 20-11-20261
- © Copyright 2024 American Mathematical Society
- Journal: St. Petersburg Math. J. 35 (2024), 83-100
- MSC (2020): Primary 34B24
- DOI: https://doi.org/10.1090/spmj/1794
Dedicated: To the lucid memory of Sergei Nikolaevich Naboko