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

Coskun, H; Bayram, N

doi:10.1016/j.jmaa.2004.10.030

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

Atıf İçin Kopyala

Coskun H., Bayram N.

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

Yayın Türü: Makale / Tam Makale
Cilt numarası: 306 Sayı: 2
Basım Tarihi: 2005
Doi Numarası: 10.1016/j.jmaa.2004.10.030
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.548-566
Karadeniz Teknik Üniversitesi Adresli: Hayır

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.