Branching of Solutions of the Abstract Kinetic Equation |
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| Authors: | Fimin N N Chuyanov V A |
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| Institution: | (1) M. V. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Russia |
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| Abstract: | In this paper, bifurcation of solutions of a special nonlinear operator equation used in mathematical physics is considered. In the case of an equation for which the Fréchet derivative of the associated operator is a locally perturbed Fredholm operator, sufficient conditions for branching of solutions are studied. The methodology of application of the formalism developed in the paper is demonstrated by the example of the Boltzmann equation. |
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| Keywords: | branching of solutions abstract kinetic equation Boltzmann equation Fredholm operator self-adjoint operator Banach space |
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