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Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
-
I. Trooshin
und
M. Yamamoto
Veröffentlicht/Copyright:
7. September 2013
Abstract
- We consider a nonsymmetric first-order differential operator 
, where P is a 2×2 matrix whose components are in L2(0, 1). We study an eigenvalue problem for A with boundary conditions at x = 0, 1. We establish an asymptotic form of the eigenvalues and prove that the set of the root vectors forms a Riesz basis in {L2(0, 1)}2. Moreover we show some characterization of L2-coefficients in an inverse eigenvalue problem. The key is a transformation formula.
Published Online: 2013-09-07
Published in Print: 2002-12
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- CONTENTS
- Determination of a right-hand side term in an operator-differential equation of mixed type
- Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Stability estimates for an inverse elliptic problem
- On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
- Iterative method for recovery a nonlinear source in a hyperbolic equation with final overdetermination
- Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
Artikel in diesem Heft
- CONTENTS
- Determination of a right-hand side term in an operator-differential equation of mixed type
- Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Stability estimates for an inverse elliptic problem
- On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
- Iterative method for recovery a nonlinear source in a hyperbolic equation with final overdetermination
- Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
