Geodesic
Branching of Solutions of the Abstract Kinetic Equation
Matematičeskie zametki, Tome 73 (2003) no. 1, pp. 113-119

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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. 
@article{MZM_2003_73_1_a9,
     author = {N. N. Fimin and V. A. Chuyanov},
     title = {Branching of {Solutions} of the {Abstract} {Kinetic} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {113--119},
     publisher = {mathdoc},
     volume = {73},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_1_a9/}
}
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N. N. Fimin; V. A. Chuyanov. Branching of Solutions of the Abstract Kinetic Equation. Matematičeskie zametki, Tome 73 (2003) no. 1, pp. 113-119. http://geodesic.mathdoc.fr/item/MZM_2003_73_1_a9/