A class of second-order differential operators with eigenparameter-dependent boundary and transmission conditions


ŞEN E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.37, sa.18, ss.2952-2961, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Konu: 18
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/mma.3033
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.2952-2961

Özet

In this study, we investigate a Sturm-Liouville type problem with eigenparameter-dependent boundary conditions and eigenparameter-dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions. Also we investigate some properties of its spectrum. Copyright (c) 2013 John Wiley & Sons, Ltd.