IJPAM: Volume 50, No. 4 (2009)
ON A QUADRATIC PENCIL OF DIFFERENTIAL OPERATORS
WITH PERIODIC GENERALIZED POTENTIAL
WITH PERIODIC GENERALIZED POTENTIAL
Manaf Dzh. Manafov
, Abdullah Kablan
Department of Mathematics
Faculty of Sciences and Letters
Adiyaman University
Adiyaman, 02040, TURKEY
e-mail: mmanafov@adiyaman.edu.tr
Department of Mathematics
Faculty of Arts and Sciences
Mersin University
Mersin, 33343, TURKEY
e-mail: akablan@gmail.com
, Abdullah Kablan
Department of Mathematics
Faculty of Sciences and Letters
Adiyaman University
Adiyaman, 02040, TURKEY
e-mail: mmanafov@adiyaman.edu.tr
Department of Mathematics
Faculty of Arts and Sciences
Mersin University
Mersin, 33343, TURKEY
e-mail: akablan@gmail.com
Abstract.In this paper, we obtain conditions for the absence of spectral gaps in spectrum of a quadratic pencil of Strum-Liouville operarors with periodic generalized potential.
Received: July 29, 2008
AMS Subject Classification: 34L10, 34B27, 34B24
Key Words and Phrases: quadratic pencil of differential operators, continuous spectrum, gaps
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 4