Geodesic
Difference schemes in modeling evolutionary control systems with delay
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 151-158

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Evolutionary control systems with delay which after the discretization lead to difference with nonlinear prehistory are considered. Orders of convergence and stability conditions of such schemes are analyzed. As an example difference schemes for the equation of heat conductivity with delay are investigated.
Keywords: evolutionary equations, delay, difference schemes, stability
Mots-clés : parabolic equations. 
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     author = {V. G. Pimenov},
     title = {Difference schemes in modeling evolutionary control systems with delay},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {151--158},
     publisher = {mathdoc},
     volume = {16},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a17/}
}
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V. G. Pimenov. Difference schemes in modeling evolutionary control systems with delay. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 151-158. http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a17/