Acta Mathematica Vietnamica
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LYAPUNOV’S INEQUALITY FOR LINEAR DIFFERENTIAL ALGEBRAIC EQUATION
NGUYEN DINH CONG, HOANG NAM
Abstract
We introduce a concept of Lyapunov exponents and Lyapunov spectrum of a linear differential algebraic equation (DAE) and derive Lyapunov’s inequality for a DAE of index 1. We derive some estimates for sum of Lyapunov exponents from a fundamental solution matrix of a DAE by means of its coefficients.