Sturm–Liouville operator with a parameter and its usage to spectrum research of some differential operators

DOI10.1080/17476933.2018.1533002OpenAlexW2901777004WikidataQ128986708 ScholiaQ128986708MaRDI QIDQ5227720

Madi M. Muratbekov, Mussakan B. Muratbekov

Publication date: 7 August 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1533002

zbMATH Keywords

resolventspectrumspectral propertiesoperator of mixed typeSturm-Liouville operator with a parameter

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (7)

Hyperbolic equation with piecewise-constant argument of generalized type and solving boundary value problems for it ⋮ Boundary value problem with parameter for second-order system of hyperbolic equations ⋮ On the compactness of the resolvent of a Schrödinger type singular operator with a negative parameter ⋮ Bounded invertibility and separability of a parabolic type singular operator in the space L2(R2) ⋮ Estimates of singular numbers (s$$ s $$‐numbers) and eigenvalues of a mixed elliptic‐hyperbolic type operator with parabolic degeneration ⋮ Maximal regularity and two‐sided estimates of the approximation numbers of the nonlinear Sturm–Liouville equation solutions with rapidly oscillating coefficients in L₂(ℝ) ⋮ EXISTENCE AND MAXIMAL REGULARITY OF SOLUTIONS IN L_2(R^2) FOR A HYPERBOLIC TYPE DIFFERENTIAL EQUATION WITH QUICKLY GROWING COEFFICIENTS

Cites Work

• Coercive solvability of odd-order differential equations and its applications
• On approximate properties of solutions of a nonlinear mixed-type equation
• Estimates of the spectrum for a class of mixed type operators
• Asymptotic behavior to the eigenvalues of the Sturm-Liouville operator problem
• On discreteness of the spectrum of a class of mixed-type singular differential operators
• On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type
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