Article
Licensed
Unlicensed
Requires Authentication
Determination of a right-hand side term in an operator-differential equation of mixed type
-
N. L. Abasheeva
Published/Copyright:
September 7, 2013
Abstract
- Existence and uniqueness of solution to the inverse problem But+Lu = γ(t)ϕ+f(t), u(0) = u0, u(T) = uT are investigated. Operators B and L are selfadjoint in a Hilbert space E; the spectrum of the operator L is semibounded; γ(t) is a scalar function. If a finite number of orthogonality conditions holds then the inverse problem is uniquely solvable. The method uses the representation as a series in eigenelements and associated elements of the pencil L − λB.
Published Online: 2013-09-07
Published in Print: 2002-12
© 2013 by Walter de Gruyter GmbH & Co.
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- 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
Articles in the same Issue
- 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
