Fimin, N. N.; Chuyanov, V. A. Branching of solutions to stationary kinetic equations. (Russian. English summary) Zbl 0905.34035 Inst. Prikl. Mat. Im. M. V. Keldysha Ross. Akad. Nauk, Mosk., Prepr. 51, 15 p. (1996). Summary: The phenomenon of branching of solutions to abstract stationary kinetic equations in Banach spaces is investigated. Conditions of solution bifurcation are considered. A modified Lyapunov-Schmidt method for infinite-dimensional projectors of Uehling-Uhlenbeck’s equation is used. MSC: 34C23 Bifurcation theory for ordinary differential equations 34G20 Nonlinear differential equations in abstract spaces 37G99 Local and nonlocal bifurcation theory for dynamical systems 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics 82B03 Foundations of equilibrium statistical mechanics Keywords:branching of solutions; abstract stationary kinetic equations; Banach space; bifurcation PDFBibTeX XMLCite \textit{N. N. Fimin} and \textit{V. A. Chuyanov}, Inst. Prikl. Mat. Im. M. V. Keldysha Ross. Akad. Nauk, Mosk., Prepr. 51, 15 p. (1996; Zbl 0905.34035)