Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic-Type Differential Operators
Muratbekov M. Muratbekov M.
June 2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025#48Issue 99624 - 9630 pp.
In this paper, we study the spectral properties of a class of differential operators of hyperbolic type with variable unbounded coefficients. We find conditions for the existence of a resolvent and maximum regularity of solutions. We also find conditions that ensure the compactness of the resolvent. We obtain two-sided estimates of approximation numbers (c-numbers). In addition, we give an example showing how to find estimates of eigenvalues using estimates of approximation numbers.
compactness of the resolvent , hyperbolic type differential operators , separability , singular numbers (s-numbers)
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Mathematics, M.Kh. Dulaty Taraz Regional University, Taraz, Kazakhstan
Information Security, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
Mathematics
Information Security
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