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Abstract
- In this paper we consider the finite-dimensional approximations for L-regularized solutions in the Hilbert space [4].
Necessary and sufficient conditions on the independent disturbances of operators A and L which provide the convergence of finite-dimensional approximations are defined in Theorem 2 (the main statement of the paper).
Obtained results essentially generalize results of [2, 3] and in the sequel can be used for development of finite-difference approximation methods for solving integrodifferential equations [2, 4].
Published Online: 2013-09-07
Published in Print: 2000-08
© 2013 by Walter de Gruyter GmbH & Co.
