An inverse Sturm-Liouville problem with boundary conditions depending on the spectral parameter

Functional Analysis and its Applications

Volumn 36, Issue 4, 2002, Pages 315-317

  Van der Mee, C ^a   Pivovarchik, V N ^b  

^a UNIVERSITY OF CAGLIARI   (Italy)

^b ODESSA STATE ACADEMY OF CIVIL ENGINEERING AND ARCHITECTURE   (Ukraine)

Author keywords

Asymptotics; Damped string; Eigenvalues; Spectral paramter dependent boundary conditions; Sturm Liouville problem

Indexed keywords

EID: 0036941937     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021770012098     Document Type: Article

References (9)

1. V. N. Pivovarchik, J. Operator Theory, 42, 189-220 (1999).
2. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. I, Wiley-Interscience, New York, 1953.
3. M. G. Krein and H. Langer, Integral Equations and Operator Theory, 1, 539-566 (1978); also in: Appl. Theory of Functions in Continuum Mechanics (Proc. Intern. Sympos., Tbilisi, 1963), Vol. 2, Nauka, Moscow, 1965, pp. 283-322.
4. M. G. Krein and H. Langer, Integral Equations and Operator Theory, 1, 539-566 (1978); also in: Appl. Theory of Functions in Continuum Mechanics (Proc. Intern. Sympos., Tbilisi, 1963), Vol. 2, Nauka, Moscow, 1965, pp. 283-322.
5. C. van der Mee and V. N. Pivovarchik, Inverse Problems, 17, 1831-1845 (2001).
6. V. A. Marchenko, Sturm-Liouville Operators and Applications, Operator Theory: Advances and Applications, 22, Birkhäuser, Basel-Boston, 1986.
7. B. Ja. Levin, Lectures on Entire Functions, Transl. Math. Monographs, 150, Amer. Math. Soc., Providence, RI, 1996.
8. B. Ja. Levin and I. V. Ostrovskii, Izv. Akad. Nauk USSR, Ser. Mat., 43, No. 1, 87-110, 238 (1979); English transl. Math. USSR-Izv. 14, No. 1, 79-101 (1980).
9. B. Ja. Levin and I. V. Ostrovskii, Izv. Akad. Nauk USSR, Ser. Mat., 43, No. 1, 87-110, 238 (1979); English transl. Math. USSR-Izv. 14, No. 1, 79-101 (1980).