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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Necessary Condition for the Problem of Identification for One-Dimensional Nonlinear Stationary Equation of Quasioptics

Volume 43, Issue 8, 2011, pp. 33-45
DOI: 10.1615/JAutomatInfScien.v43.i8.30
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ABSTRACT

We investigate the identification problem for one-dimensional stationary equation of quasioptics on determination of quadrically summable coefficients, when nonlinear part of the equation contains only imaginary coefficient. Here we found formula for gradient of the functional, constructed by the final observation and ascertained the necessary condition of variational inequality type. We proved theorem of existence and uniqueness of solution of the direct problem.

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