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https://dx.doi.org/10.2298/fil...
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Scattering theory of impulsive Sturm-Liouville equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 Turkey English Publisher:National Library of SerbiaJournal:Filomat, volume 31, pages 5,401-5,409 (issn: 0354-5180, eissn: 2406-0933, Copyright policy )
Authors: Öznur, Güler Başak; Aygar Küçükevcilioğlu, Yelda; Bayram, Elgiz;

doi: 10.2298/fil1717401b

Scattering theory of impulsive Sturm-Liouville equations

Abstract

In this paper, we investigate scattering theory of the impulsive Sturm-Liouville 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 in examples in detail.

Country
Turkey
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Keywords

Sturm-Liouville theory, scattering theory, scattering function, Scattering theory, inverse scattering involving ordinary differential operators, Sturm-Liouville equation, General spectral theory of ordinary differential operators, Ordinary differential equations with impulses

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 14
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Average
gold