Turkish Journal of Mathematics
DOI
10.3906/mat-2105-71
Abstract
We handle an impulsive Sturm-Liouville boundary value problem. We find the Jost solution, Jost function, and scattering function of this problem and examine the properties of scattering function. We also study eigenvalues and resolvent operator of this problem. Finally, we exemplify our work by taking a different problem.
Keywords
Differential equation, Jost solution, Jost function, impulsive operator, asymptotic, spectral parameter
First Page
406
Last Page
415
Recommended Citation
ÖZNUR, GÜLER BAŞAK and BAIRAMOV, ELGİZ
(2022)
"Scattering theory of the quadratic eigenparameter depending impulsive Sturm-Liouville equations,"
Turkish Journal of Mathematics: Vol. 46:
No.
2, Article 6.
https://doi.org/10.3906/mat-2105-71
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss2/6
