Asymptotic behavior of the distribution function of eigenvalues of an abstract differential operator

DOI10.1007/BF01146263zbMath0501.35066MaRDI QIDQ1172212

Knyaz Sh. Mamedov

Publication date: 1982

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

zbMATH Keywords

unbounded operator coefficientsabstract differential equation of higher orderGreen's operator-functionweakly perturbed positive operators

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Linear differential equations in abstract spaces (34G10) Linear higher-order PDEs (35G05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (4)

On basis property of eigenfunctions and associated functions for nonlocal boundary value problems ⋮ Asymptotic behavior of eigenvalues of a boundary value problem for a second-order elliptic differential-operator equation with spectral parameter in the equation and a boundary condition ⋮ On the nonclassical asymptotics of the eigenvalues of a boundary value problem for a second-order differential-operator equation ⋮ One boundary-value problem for elliptic differential-operator equations of the second order with quadratic spectral parameter

Cites Work

• Asymptotic behavior to the eigenvalues of the Sturm-Liouville operator problem
• Properties of solutions of ordinary differential equations in banach space
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic behavior of the distribution function of eigenvalues of an abstract differential operator