UPPER CENTRAL EXPONENT OF LINEAR STOCHASTIC DIFFERENTIAL ALGEBRAIC EQUATIONS OF INDEX 1
Keywords:
Lyapunov exponents; central exponents; Stochastic differential equations; Stochastic differential algebraic equations; two-parameter stochastic flow
Abstract
In the paper, we introduce the concept of upper central exponent of linear stochastic differential algebraic equation of index 1. We prove
that upper central exponent is nonrandom and larger or equal to the top
Lyapunov exponent.