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On the spectral and scattering properties of eigenparameter dependent discrete impulsive Sturm-Liouville equations
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2101-45
Abstract:

This work develops scattering and spectral analysis of a discrete impulsive Sturm-Liouville equation with spectral parameter in boundary condition. Giving the Jost solution and scattering solutions of this problem, we find scattering function of the problem. Discussing the properties of scattering function, scattering solutions, and asymptotic behavior of the Jost solution, we find the Green function, resolvent operator, continuous and point spectrum of the problem. Finally, we give an example in which the main results are made explicit.

Keywords:

null
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2101-45
0
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2101-45
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Information: There is no ciation to this publication.
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
Details
Turkish Journal of Mathematics