IJPAM: Volume 12, No. 3 (2004)
TRANSFORMATION OPERATORS FOR
STURM-LIOUVILLE OPERATORS WITH
SINGULAR POTENTIALS
STURM-LIOUVILLE OPERATORS WITH
SINGULAR POTENTIALS
R.Kh. Amirov
Department of Mathematics
Cumhuriyet University
58140 Sivas, TURKEY
e-mail: amirov@cumhuryet.edu.tr
Department of Mathematics
Cumhuriyet University
58140 Sivas, TURKEY
e-mail: amirov@cumhuryet.edu.tr
Abstract.In this article, the existence of transformation operator is
proved for a class of singular Sturm-Liouville differential operators. In
addition, the classical relation between the potential of given operator and
the kernel of transformation operator is given.
Received: February 25, 2004
AMS Subject Classification: 34A55, 34B24, 34L05
Key Words and Phrases: transformation operator, kernel, integral equation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 12
Issue: 3
