Asymptotic formulas with arbitrary order for nonseleadjoint differential operators
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.44, sa.3, ss.391-409, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 3
- Basım Tarihi: 2007
- Doi Numarası: 10.1556/sscmath.2007.1026
- Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.391-409
- Anahtar Kelimeler: nonselfadjoint differential operators, strongly regular boundary conditions, Riesz basis
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
We obtain asymptotic formulas with arbitrary order of accuracy for the eigenvalues and eigenfunctions of a nonselfadjoint ordinary differential operator of order n whose coefficients are Lebesgue integrable on [0,1] and the boundary conditions are strongly regular. The orders of asymptotic formulas are independent of smoothness of the coefficients.