Scattering Theory of Impulsive Sturm-Liouville Equation in Quantum Calculus

AYGAR KÜÇÜKEVCİLİOĞLU Y., BAYRAM E.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.42, no.6, pp.3247-3259, 2019 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.1007/s40840-018-0657-2
  • Journal Name: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3247-3259
  • Keywords: Scattering theory, Impulsive Sturm-Liouville equation, Quantum calculus, Scattering function, Eigenvalue, Q-DIFFERENCE EQUATIONS, BOUNDARY-VALUE-PROBLEMS, SPECTRAL-ANALYSIS, INVERSE PROBLEM, MATRIX, OPERATOR
  • Ankara University Affiliated: Yes

Abstract

We consider an impulsive boundary value problem consisting of a quantum difference equation and impulsive boundary conditions. Discussing the Jost solution and scattering function of this problem, we study the properties of scattering function and relations between scattering solutions. Besides, we present an example that informs us about the eigenvalues of a special case of this problem.