An asymptotic formula for the number of eigenvalues of a differential operator

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Adıgüzelov E., Avcı H., Gül E.

Proyecciones, vol.20, no.1, pp.65-82, 2001 (Scopus)

• Publication Type: Article / Article
• Volume: 20 Issue: 1
• Publication Date: 2001
• Doi Number: 10.4067/s0716-09172001000100005
• Journal Name: Proyecciones
• Journal Indexes: Scopus
• Page Numbers: pp.65-82
• Open Archive Collection: AVESIS Open Access Collection
• Yıldız Technical University Affiliated: Yes

Abstract

In this work, it is proved that the spectrum of an differential operator with unbounded operator coefficients in elliptic type with partial derivatives is pure discrete and an asymptotic formula is found for the number of eigenvalues of this operator.