On Asymptotic Behaviour of Solutions to Linear Differential Systems with Variable Coefficients via Characteristic Numbers

抄録

We treat the system of linear differential equations with variable coefficients and examine its asymptotic behaviour via several characteristic numbers. Especially, we give a few conditions to admit the solution with polynomial order in terms of second exponent. Moreover, we establish an estimate of the solution to linear nonhomogeneous system by an inequality of Wazewski type, which leads to one of the Lyapunov exponent as well.