A. D. Gadjiev, R. O. Efendiyev, E. Ibikli (2003)
Czechoslovak Mathematical Journal
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It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space does not hold in all this space and is satisfied only on some subspace.
Horiuchi, Toshio (2001)
Journal of Inequalities and Applications [electronic only]
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Guliyev, Emin V., Mammadov, Yagub Y. (2010)
Abstract and Applied Analysis
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P. Maynar, M. I. García de Soria (2011)
Mathematical Modelling of Natural Phenomena
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The study of the fluctuations in the steady state of a heated granular system is reviewed. A Boltzmann-Langevin description can be built requiring consistency with the equations for the one- and two-particle correlation functions. From the Boltzmann-Langevin equation, Langevin equations for the total energy and the transverse velocity field are derived. The existence of a fluctuation-dissipation relation for the transverse velocity field...
Dario Benedetto, Mario Pulvirenti (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.