Some questions of the spectral theory of differential equations of elliptic type in the space of vector functions on a finite interval

DOI10.1007/BF01559222zbMath0344.34017OpenAlexW2082163075MaRDI QIDQ1232491

M. L. Gorbachuk, V. I. Gorbachuk

Publication date: 1976

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01559222

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear ordinary differential equations and systems (34A30) Linear accretive operators, dissipative operators, etc. (47B44) Ordinary differential operators (34L99) Differential equations in abstract spaces (34G99)

Related Items

Spectral analysis of elliptic differential equations in Hilbert space ⋮ Representation and boundary values of solutions of homogeneous second- order operator-differential equation ⋮ A boundary-value problem with an operator in the boundary conditions, for a second-order elliptic differential-operator equation ⋮ Estimates of Wiman-Valiron type for evolution equations ⋮ An evaluation of powers of the negative spectrum of Schrödinger operator equation with a singularity at zero ⋮ Extensions of symmetric relations ⋮ Some questions of the spectral theory of differential equations of elliptic type in the space of vector-functions ⋮ Asymptotics of the eigenvalues of a Sturm-Liouville equation with variable operator coefficients ⋮ Completeness of the system of root functions of boundary value problems for elliptic equations with boundary conditions of Bitsadze-Samarskij type

Cites Work

• Some problems of the spectral theory of a second-order differential equation with a variable unbounded operator coefficient
• Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient
• Self-adjoint boundary problems with discrete spectrum generated by the Sturm-Liouville equation with unbounded operator coefficient
• Nonclassical boundary value problems
• Asymptotic Distribution of Eigenvalues and Eigenfunctions for Non-Local Elliptic Boundary Value Problems, I
• Classes of Compact Operators and Eigenvalue Distributions for Elliptic Operators
• ASYMPTOTIC BEHAVIOUR OF THE SPECTRAL FUNCTION OF AN ELLIPTIC EQUATION
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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