TY  - BOOK
AU  - Bezandry,Paul H.
AU  - Diagana,Toka
ED  - SpringerLink (Online service)
TI  - Almost Periodic Stochastic Processes
SN  - 9781441994769
AV  - QA372 
U1  - 515.352 23
PY  - 2011///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Functional analysis
KW  - Integral equations
KW  - Operator theory
KW  - Differential equations
KW  - Partial differential equations
KW  - Probabilities
KW  - Ordinary Differential Equations
KW  - Probability Theory and Stochastic Processes
KW  - Partial Differential Equations
KW  - Functional Analysis
KW  - Operator Theory
KW  - Integral Equations
N2  - 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
UR  - http://dx.doi.org/10.1007/978-1-4419-9476-9
ER  -