Application of Green's operator to quadratic variational problems

We use Green's function of a suitable boundary value problem to convert the variational problem with quadratic functional and linear constraints to the equivalent unconstrained extremal problem in some subspace of the space \(L_2\) of quadratically summable functions. We get the necessary and s...

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Bibliographic Details
Main Authors: Nikolay V. Azbelev, Vadim Z. Tsalyuk
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2006-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol26/2/art/opuscula_math_2617.pdf