Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory

摘要: This is the first of a series papers concerned with principal Lyapunov exponents and Floquet subspaces positive random dynamical systems in ordered Banach spaces. It focuses on development general theory. First, notions generalized subspaces, exponents, exponential separations for spaces are introduced, which extend classical strongly deterministic to Under some quite assumptions, it then shown that system an space admits family exponent, separation. We will consider forthcoming parts applications theory developed this part arising from variety mappings differential equations, including Leslie matrix models, cooperative ordinary parabolic equations.