Consider the STURM -LIOUVIUE differential expression &U P€C', qEC, p ( z ) =-0, q(z) &Po=--0 0 1 2-€[0, -1 I Ay=aS1p, y~ED(A)=C,(O, =) . -( p ( ~) 21')' + ~( 2 ) U , 0 sz -= m , with and define the (minimal) operator A , A considered a8 an operator in the HILBERT space H = L?( 0, a) is bounded from
On differential operators and boundary conditions
✍ Scribed by William Feller
- Publisher
- John Wiley and Sons
- Year
- 1955
- Tongue
- English
- Weight
- 724 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0010-3640
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## Abstract Singular boundary conditions are formulated for Sturm–Liouville operators having singularities and turning points at the end‐points of the interval. For boundary‐value problems with singular boundary conditions, inverse problems of spectral analysis are studied. We give formulations of
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