Asymptotic formulas with arbitrary order for nonseleadjoint differential operators
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.44, no.3, pp.391-409, 2007 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 44 Issue: 3
- Publication Date: 2007
- Doi Number: 10.1556/sscmath.2007.1026
- Journal Name: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.391-409
- Keywords: nonselfadjoint differential operators, strongly regular boundary conditions, Riesz basis
- Dokuz Eylül University Affiliated: Yes
Abstract
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.