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Preprints of the Keldysh Institute of Applied Mathematics, 1997, 016 (Mi ipmp1404)  

Bifurcation of Solutions of Abstract Kinetic Equation

N. N. Fimin, V. A. Chuyanov
Abstract: The present paper is dedicated for basic aspects of theory of branching of solutions of nonlinear operator equations of special kind (applying in physical kinetics). Iodification of Lyapunov-Schmidt construction, which uses mathematical apparatus of infinite-dimensional projectors, is carried out. The properties of evolution operator for solutions of above-mentioned equations are considered. The properties of bifurcation equations for ones are investigated.
Document Type: Preprint
Language: Russian
Citation: N. N. Fimin, V. A. Chuyanov, “Bifurcation of Solutions of Abstract Kinetic Equation”, Keldysh Institute preprints, 1997, 016
Citation in format AMSBIB
\Bibitem{FimChu97}
\by N.~N.~Fimin, V.~A.~Chuyanov
\paper Bifurcation of Solutions of Abstract Kinetic Equation
\jour Keldysh Institute preprints
\yr 1997
\papernumber 016
\mathnet{http://mi.mathnet.ru/ipmp1404}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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