First and second order differentiation operators with weight functions of variable sign

DOI10.1007/BF02110552zbMath0835.34093MaRDI QIDQ1905238

Avgoust P. Khromov, Alexander Gurevich

Publication date: 8 January 1996

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

zbMATH Keywords

method of contour integrationconvergence of expansions in eigen- and associated-functionsexponential growth of the resolventfirst order differentiation operatorsecond order differentiation operatorweight functions of variable sign

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (7)

Spectral properties of an even-order differential operator with a discontinuous weight function ⋮ Asymptotics of the spectrum of even-order differential operators with discontinuos weight functions ⋮ Irregular boundary value problems revisited ⋮ On eigenfunction expansions for a class of irregular quadratic pencils of second-order differential operators ⋮ Asymptotics of eigenvalues of differential operator with alternating weight function ⋮ Об эффекте «расщепления» для многоточечных дифференциальных операторов с суммируемым потенциалом ⋮ On the study of the spectral properties of differential operators with a smooth weight function

Cites Work

• Expansion theorems for a class of regular indefinite eigenvalue problems
• Die Entwicklungen nach Eigenfunktionen irregulärer Eigenwertprobleme mit zerfalleneden Randbedingungen
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