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AN INVERSE SPECTRAL PROBLEM FOR UNEAR OPERATORS IN HILBERT SPACE

AN INVERSE SPECTRAL PROBLEM FOR UNEAR OPERATORS IN HILBERT SPACE DEMONSTRATIO MATHEMATICAVoixxnNo 4IM»Jan BochenekAN INVERSE SPECTRAL PROBLEMFOR UNEAR OPERATORS IN HILBERT SPACEIntroductionI n 1929 W.A* Ambarzumian published the f o l l o w i n gT h e o r e mA. ( [ l ] ) .I f the sequanoe o f e i g e n v a l u e so f the problem(1)- 7 " + qy = Ay, y ' ( 0 )= y'(Jt) = 0,qcC([OfJt])i s i d e n t i c a l with the sequence o f e i g e n v a l u e s o f t h e(2)- y " » Hy, y ' ( 0 )problem= y'(it) = 0,then q ( x ) = 0 f o r x t [ 0 , n ] f t h a t i s t o say the problems ( 1 )and ( 2 ) are i d e n t i o a l .T h i s theorem o r i g i n a t e d the s o - o a l l e d i n v e r s e s p e c t r a lproblem http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

AN INVERSE SPECTRAL PROBLEM FOR UNEAR OPERATORS IN HILBERT SPACE

Demonstratio Mathematica , Volume 22 (4): 10 – Oct 1, 1989

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Publisher
de Gruyter
Copyright
© by Jan Bochenek
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1989-0407
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO MATHEMATICAVoixxnNo 4IM»Jan BochenekAN INVERSE SPECTRAL PROBLEMFOR UNEAR OPERATORS IN HILBERT SPACEIntroductionI n 1929 W.A* Ambarzumian published the f o l l o w i n gT h e o r e mA. ( [ l ] ) .I f the sequanoe o f e i g e n v a l u e so f the problem(1)- 7 " + qy = Ay, y ' ( 0 )= y'(Jt) = 0,qcC([OfJt])i s i d e n t i c a l with the sequence o f e i g e n v a l u e s o f t h e(2)- y " » Hy, y ' ( 0 )problem= y'(it) = 0,then q ( x ) = 0 f o r x t [ 0 , n ] f t h a t i s t o say the problems ( 1 )and ( 2 ) are i d e n t i o a l .T h i s theorem o r i g i n a t e d the s o - o a l l e d i n v e r s e s p e c t r a lproblem

Journal

Demonstratio Mathematicade Gruyter

Published: Oct 1, 1989

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