General linear boundary value problem for the second-order integro-differential loaded equation with boundary conditions containing both nonlocal and global terms.
Fatemi, M.R., Aliyev, N.A. (2010)
Abstract and Applied Analysis
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Fatemi, M.R., Aliyev, N.A. (2010)
Abstract and Applied Analysis
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Michel Chipot, Stuart Hastings, David Kinderlehrer (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical energy. This suggests that, in nonequilibrium systems, fluctuations may be oriented or organized to do work. Here we seek to understand how this is manifested by quantitative mathematical portrayals of these systems.
Christiane Cocozza-Thivent, Robert Eymard (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In the reliability theory, the availability of a component, characterized by non constant failure and repair rates, is obtained, at a given time, thanks to the computation of the marginal distributions of a semi-Markov process. These measures are shown to satisfy classical transport equations, the approximation of which can be done thanks to a finite volume method. Within a uniqueness result for the continuous solution, the convergence of the numerical scheme is then proven in the weak...
Zhang, Zhenbu (2006)
Abstract and Applied Analysis
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Jan H. Chabrowski (1987)
Commentationes Mathematicae Universitatis Carolinae
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Mueller, Carl, Tribe, Roger (2004)
Electronic Journal of Probability [electronic only]
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