Published January 1, 2009 | Version v1
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THE LEVINSON-TYPE FORMULA FOR A BOUNDARY VALUE PROBLEM WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

  • 1. Mersin Univ, Sci & Letters Fac, Dept Math, TR-33343 Mersin, Turkey

Description

In the present paper, we consider a boundary-value problem generated by a second order differential equation and a spectral parameter dependent boundary condition on the half line. For this boundary-value problem, we define the scattering data, we prove the continuity of the scattering function S(lambda), and we derive the Levinson type formula.

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