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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2010 Volume 2, Issue 1, Pages 17–34 (Mi ufa39)

This article is cited in 2 papers

Resolvent of finite-dimensional perturbed of the correct problems for the biharmonic operator

G. E. Berikhanova, B. E. Kanguzhin

Semipalatinsk State Pedagogical Institute, Semei, Kazakhstan

Abstract: In this work we give a complete description of the well-posed solvability of boundary problems for biharmonic operators in a circle. Then written out their finite perturbations, which also well-posed solved. Formulas are given the resolvent of the operator.

Keywords: modeling of plates, correct problem, Dirichlet problem, biharmonic equation, Green function, resolvent operator.

UDC: 517.95

Received: 05.01.2010



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