Asymptotics of eigenvalues for regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition


Coskun H., Bayram N.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.306, sa.2, ss.548-566, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 306 Konu: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.jmaa.2004.10.030
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.548-566

Özet

In this paper we obtain asymptotic estimates of eigenvalues for regular Sturm-Liouville problems having the eigenparameter in the boundary condition. The method is based on an iterative procedure solving the associated Riccati equation and producing an asymptotic expansion of the solution in the higher powers of 1/lambda(1/2) as lambda -> infinity. (c) 2004 Elsevier Inc. All rights reserved.