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＜電子ブック＞
Almost Periodic Stochastic Processes / by Paul H. Bezandry, Toka Diagana

版	1st ed. 2011.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XV, 235 p : online resource
著者標目	*Bezandry, Paul H author Diagana, Toka author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Probabilities LCSH:Functional analysis LCSH:Operator theory LCSH:Integral equations FREE:Differential Equations FREE:Probability Theory FREE:Functional Analysis FREE:Operator Theory FREE:Integral Equations
一般注記	Almost Periodic Stochastic Processes is among the few published books that is entirely devoted to almost periodic stochastic processes and their applications.  The topics treated range from existence, uniqueness, boundedness, and stability of solutions, to stochastic difference and differential equations. Motivated by the studies of the natural fluctuations in nature, this work aims to lay the foundations for a theory on almost periodic stochastic processes and their applications. This book is divided in to eight chapters and offers useful bibliographical notes at the end of each chapter. Highlights of this monograph include the introduction of the concept of p-th mean almost periodicity for stochastic processes and applications to various equations. The book offers some original results on the boundedness, stability, and existence of p-th mean almost periodic solutions to (non)autonomous first and/or second order stochastic differential equations, stochastic partial differential equations, stochastic functional differential equations with delay, and stochastic difference equations.  Various illustrative examples are also discussed throughout the book. The results provided in the book will be of particular use to those conducting research in the field of stochastic processing including engineers, economists, and statisticians with backgrounds in functional analysis and stochastic analysis.   Advanced graduate students with backgrounds in real analysis, measure theory, and basic probability, may also find the material in this book quite useful and engaging HTTP:URL=https://doi.org/10.1007/978-1-4419-9476-9

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