Identification of a piecewise constant coefficient in the beam equation

Journal of Computational and Applied Mathematics

Volumn 114, Issue 1, 2000, Pages 11-21

  Avdonin, S A ^a,b   Medhin, N G ^c   Sheronova, T L ^d  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b FLINDERS UNIVERSITY   (Australia)

^c Department of Mathematics   (United States)

^d ST PETERSBURG STATE MARINE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Beam equation; Controllability; Identification; Inverse problems; String equation

Indexed keywords

BOUNDARY CONDITIONS; CONTROLLABILITY; INVERSE PROBLEMS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SPECTRUM ANALYSIS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

BEAM EQUATIONS; PIECEWISE CONSTANT COEFFICIENTS; STRING EQUATIONS;

PIECEWISE LINEAR TECHNIQUES;

EID: 0033908705     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00285-X     Document Type: Article

References (13)

1. S.A. Avdonin, M.I. Belishev, Dynamical inverse problem for the rod equation, Preprint IPRT, St. Petersburg, 1995.
2. Avdonin S.A., Belishev M.I. Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator (BC-method). Control Cybernet. 25:1996;429.
3. Avdonin S.A., Belishev M.I., Ivanov S.A. Boundary control and inverse matrix problem for the wave equation. Math. USSR Sbornik. 7:1992;287.
4. Avdonin S.A., Belishev M.I., Rozhkov S.Yu. The BC-method in the inverse problem for the heat equation. J. Inv. Ill-Posed Problems. 5(4):1997;1.
5. S.A. Avdonin, S.A. Ivanov, Families of Exponentials. The Method of Moments in Controllability Problems for Distributed Parameter Systems, Cambridge University, New York, 1995.
6. Banks H.T., Medhin N.G., Zhang Y. A mathematical framework for curved active constrained layer structures: well-posedness and approximation. Numer. Funct. Anal. Optim. 17:1996;1.
7. H.T. Banks, R.C. Smith, Y. Wang, Smart Material Structures, Wiley, New York, 1996.
8. Belishev M.I. An approach to multidimensional inverse problems for the wave equation. Dokl. AN SSSR. 297:1987;524 (in Russian).
9. Belishev M.I. Canonical model of a dynamical system with boundary control in inverse problem for the heat equation. Algebra Anal. 7(6):1995;3 (in Russian).
10. Chen G., Delfour M.C., Krall A.M., Payre G. Modeling, stabilization and control of serially connected beams. SIAM J. Control Optim. 25:1987;526.
11. Kurylev Ya. Multi-dimensional inverse boundary problems by BC-method: groups of transformations and uniqueness results. Math. Comput. Modelling. 18:1993;33.
12. M.A. Naimark, Linear Differential Operators, Vol. 1,2, Ungar, New York, 1967, 1968.
13. Russell D.L. Controllability and stabilizability theory for linear partial differential equations. SIAM Rev. 20:1978;639.