On Green's function for boundary value problem with eigenvalue dependent quadratic boundary condition

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COŞKUN H., KABATAŞ A., BAŞKAYA E.

BOUNDARY VALUE PROBLEMS, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2017
  • Doi Number: 10.1186/s13661-017-0802-0
  • Journal Name: BOUNDARY VALUE PROBLEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Sturm-Liouville problem, eigenfunction asymptotics, Green's function, STURM-LIOUVILLE PROBLEMS, PARAMETER
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper we obtain Green's function for a regular Sturm-Liouville problem having the eigenparameter in all boundary conditions in which the left one is in quadratic form. We assume no smoothness condition on the potential.