Asymptotic formulas for Dirichlet boundary value problems

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Yilmaz B., Veliev O.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.42, sa.2, ss.153-171, 2005 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 42 Sayı: 2
• Basım Tarihi: 2005
• Doi Numarası: 10.1556/sscmath.42.2005.2.3
• Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.153-171
• Marmara Üniversitesi Adresli: Evet

Özet

In this article we obtain asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the nonselfadjoint Sturm-Liouville operators with Dirichlet boundary conditions, when the potential is a summable function. Then using these we compute the main part of the eigenvalues in special cases.