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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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On the infinite product representation of solution of Sturm-Liouville equation with turning point of order 4m+1
by
A. Jodayree Akbarfam
Faculty of Mathematical Sciences, Tabriz University, Tabriz, Iran

Let \phi2(x) be a real function with a one zero x0 of order l = 4m+1 and q in L1[0, 1] . Let the function \phi0: I --> R-{ 0 } , x --> \phi2(x)(x-x0)-l be a positive continously differentiable function . This paper is concerned with the representation of solution of Sturm-Liouville equation
y'' + ( \lambda\phi2(x) - q(x))y=0        x in [0, 1]
in the infinite product form , where \lambda is a real parameter.

Date received: January 14, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-58.