Scattering Theory of Impulsive Sturm-Liouville Equations

Elgiz Bayram, Yelda Aygar, Basak Eren

Abstract


In this paper, we investigate scattering theory of the impulsive
Sturm--Liou\-ville boundary value problem (ISBVP). In particular, we find
the Jost solution and the scattering function of this problem. We also study
the properties of the Jost function and the scattering function of this
ISBVP. Furthermore, we present two examples by getting Jost function and
scattering function of the impulsive boundary value problem. Besides, we
examine the eigenvalues of these boundary value problems given as examples
in detail.


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