Degenerate cocycle with index-1 and Lyapunov exponents
https://doi.org/10.1142/S0219493707002013Publisher, magazine: ,
Publication year: 2007
Lưu Trích dẫn Chia sẻAbstract
The authors study difference equations where the leading term cannot be solved. They discuss the solvability of the initial value problem and with Lyapunov exponents for implicit linear random difference equations. By introducing the index-1 concept a formula of the solutions is given. A proof of the multiplicative ergodic theorem for an implicit difference equation is given.
Tags: degenerate cocycle; Lyapunov exponents; random dynamical systems; linear implicit equation; index-1 tractable
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