INVERSE PROBLEMS FOR DIFFERENTIAL-EQUATIONS WITH TURNING-POINTS

Authors
FREILING G YURKO V
Citation
G. Freiling et V. Yurko, INVERSE PROBLEMS FOR DIFFERENTIAL-EQUATIONS WITH TURNING-POINTS, Inverse problems, 13(5), 1997, pp. 1247-1263
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
13
Issue
5
Year of publication
1997
Pages
1247 - 1263
Database
ISI
SICI code
0266-5611(1997)13:5<1247:IPFDWT>2.0.ZU;2-J
Abstract
We study inverse spectral problems for second-order differential equat ions on a finite interval having an arbitrary number of turning points . For three classes of inverse problems we prove that they have a uniq ue solution and we provide a procedure for constructing the solution.