Scattering Theory of Impulsive Sturm-Liouville Equations

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BAYRAM E., AYGAR KÜÇÜKEVCİLİOĞLU Y., Eren B.

FILOMAT, vol.31, no.17, pp.5401-5409, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 17
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1717401b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5401-5409
  • Keywords: Scattering theory, Scattering function, Sturm-Liouville equation, FINITE TRANSMISSION CONDITIONS, 4TH-ORDER DIFFERENTIAL OPERATOR, DISSIPATIVE OPERATORS
  • Ankara University Affiliated: Yes

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.