IJPAM: Volume 63, No. 3 (2010)

THE SUM OF SUBTRACTION OF THE EIGENVALUES OF
TWO SELF ADJOINT DIFFERENTIAL OPERATORS
WITH UNBOUNDED OPERATOR COEFFICIENT

Özlem Baksi$^1$, Yonca Sezer$^2$, Serpil Karayel$^3$
$^{1,2,3}$Department of Mathematics
Faculty of Arts and Sciences
Yildiz Technical University
Davutpasa, Istanbul, 34210, TURKEY


Abstract.In this work, a formula for the sum of the eigenvalues of two second order differential operators with unbounded operator coefficient is found.

Received: August 19, 2009

AMS Subject Classification: 47A10, 34L20

Key Words and Phrases: Hilbert space, self adjoint operator, kernel operator, eigenvalues, spectrum

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 3