One boundary-value problem for elliptic differential-operator equations of the second order with quadratic spectral parameter

DOI10.1007/s11253-017-1401-zzbMath1499.34316OpenAlexW2769163418MaRDI QIDQ1729642

Xianqiang Yang

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-017-1401-z

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear differential equations in abstract spaces (34G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (5)

NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER ⋮ 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 ⋮ Solvability of a boundary value problem for elliptic differential-operator equations of the second order with a quadratic complex parameter ⋮ Unnamed Item ⋮ SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH A COMPLEX PARAMETER

Cites Work

• Second order elliptic differential-operator equations with unbounded operator boundary conditions in \(UMD\) Banach spaces
• Elliptic differential-operator problems with a spectral parameter in both the equation and boundary-operator conditions
• Asymptotic behavior of the distribution function of eigenvalues of an abstract differential operator
• Abstract differential equation with a spectral parameter in the boundary conditions
• Distribution of eigenvalues and trace formula for the Sturm–Liouville operator equation
• Asymptotic behavior of the eigenvalues of a boundary-value problem for a second-order elliptic operator-differential equation
• Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions
• Asymptotic distribution of the eigenvalues of some boundary-value problems for Sturm-Liouville operator equations
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