Abstract differential equation with a spectral parameter in the boundary conditions

DOI10.1007/BF03322814zbMath0927.35032OpenAlexW2019772991WikidataQ115390776 ScholiaQ115390776MaRDI QIDQ1296998

V. Pereyra

Publication date: 13 December 1999

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322814

zbMATH Keywords

nonlocal boundary conditionsinterpolation spacecoerciveness estimatequasi-elliptic equation

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) (Semi-) Fredholm operators; index theories (47A53) Higher-order elliptic equations (35J30)

Related Items (9)

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

Cites Work

• On interpolation of compact operators
• Coercive solvability of boundary-value problems for elliptic operator-differential equations with an operator in the boundary conditions
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• Sur les espaces d'interpolation; dualité.
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• On Rings in Which Every Ideal is the Annihilator of an Element
• Properties of solutions of ordinary differential equations in banach space
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