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Algebra i Analiz, 2023, Volume 35, Issue 1, Pages 109–133 (Mi aa1847)  
Research Papers

Oscillatory properties of selfadjoint boundary value problems of the fourth order

A. A. Vladimirova, A. A. Shkalikovbc

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
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Abstract: The paper presents several results and methods that make it possible to trace the relationship between the number of internal zeros of nontrivial solutions for fourth order selfadjoint boundary value problems with separated boundary conditions and the negative inertia index of these problems.
Keywords: oscillatory properties of solutions of boundary value problems, inertia index of  boundary value problems, self-adjoint boundary value problems, Kellogg kernels.
Funding agency Grant number
Russian Science Foundation 20-11-20261
Received: 13.02.2022
English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 1, Pages 83–100
DOI: https://doi.org/10.1090/spmj/1794
Document Type: Article
Language: Russian
Citation: A. A. Vladimirov, A. A. Shkalikov, “Oscillatory properties of selfadjoint boundary value problems of the fourth order”, Algebra i Analiz, 35:1 (2023), 109–133; St. Petersburg Math. J., 35:1 (2024), 83–100
Citation in format AMSBIB
\Bibitem{VlaShk23}
\by A.~A.~Vladimirov, A.~A.~Shkalikov
\paper Oscillatory properties of selfadjoint boundary value problems of the fourth order
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 1
\pages 109--133
\mathnet{http://mi.mathnet.ru/aa1847}
\transl
\jour St. Petersburg Math. J.
\yr 2024
\vol 35
\issue 1
\pages 83--100
\crossref{https://doi.org/10.1090/spmj/1794}
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