00000cmm a22000004a 4500 UP-99796217611212061 Buklod 20250128102324.0 m go j cr |nu|||auu|a 250128s2011 xxu o j | eng d 9781441994769 (eBook) 1441994769 (eBook) (iLib)UPD-00214608217 DLC DMLR rda eng DMLUC QA 274 B44 2011eb Bezandry, Paul H. author. Almost periodic stochastic processes [electronic resource] Paul H. Bezandry, Toka Diagana. New York, New York Springer New York 2011. 1 online resource (xv, 235 pages) text rdacontent computer rdamedia online resource rdacarrier IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. 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. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Stochastic processes. Almost periodic functions. Stochastic differential equations Numerical solutions. Diagana, Toka. author. SpringerLink (Online service). Electronic Resource Available for UP System via Springer Link. https://doi.org/10.1007/978-1-4419-9476-9 FO UPD DMLR QA 274 B44 2011eb Electronic Resource