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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1186/s13661-017-0802-0
  • Dergi Adı: BOUNDARY VALUE PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Sturm-Liouville problem, eigenfunction asymptotics, Green's function, STURM-LIOUVILLE PROBLEMS, PARAMETER
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.