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Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used for example in performance modeling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods, which are on the whole original and new, can also be extended to the study of questions of stability. Of particular concern are reflected random...

The book is devoted to the theory of generalized inverses of operators in a Banach space and its applications to linear and weakly nonlinear boundary-value problems for various classes of functional-differential equations, including systems of ordinary differential and difference equations, systems of differential equations with delay, systems with impulse action, and integro-differential systems.

A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstrass theorems, smoothness of functions, and continuation of functions."

Monografiya posvyashchena otsenke velichiny avariynogo rezerva zapchastey, neobkhodimogo dlya obespecheniya bespereboynoy raboty elektricheskikh setey. Velichina avariynogo rezerva, takzhe kak i kolichestvo avariy, s trudom poddaetsya prognozirovaniyu. Chem on bolshe, tem vyshe nadezhnost obsluzhivaemykh ob"ektov. No chrezmernoe uvelichenie avariynogo rezerva vedet k neopravdanno bolshim zatratam, svyazannym s ego sozdaniem. Nami predlozheno obosnovanie velichiny avariynogo rezerva setevykh rayonov po obsluzhivaniyu selskikh raspredelitelnykh setey s pozitsiy teorii upravleniya zapasami,...