Mean Almost Periodic Solutions to Some Stochastic Difference Equations

Paul H. Bezandry () and Toka Diagana ()
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Paul H. Bezandry: Howard University, Department of Mathematics
Toka Diagana: Howard University, Department of Mathematics

Chapter Chapter 8 in Almost Periodic Stochastic Processes, 2011, pp 213-223 from Springer

Abstract: Abstract Periodicity often appears in implicit ways in various natural phenomena. For instance, this is the case when one studies the effects of fluctuating environments on population dynamics. Though one can deliberately periodically fluctuate environmental parameters in controlled laboratory experiments, fluctuations in nature are hardly periodic. Almost periodicity is more likely to accurately describe natural fluctuations (Diagana et al. [63]). This chapter deals with discrete-time stochastic processes known as random sequences. Here, we are particularly interested in the study of almost periodicity of those random sequences and their applications to stochastic difference equations.

Keywords: Banach Space; Periodic Solution; Random Sequence; Consecutive Integer; Markov Inequality (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4419-9476-9_8

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