Large time behavior of differential equations with drifted periodic coefficients and modeling Carbon storage in soil
نویسندگان
چکیده
This paper is concerned with the linear ODE in the form y(t) = λρ(t)y(t)+b(t), λ < 0 and which represents a simplified model of storage of the carbon in the soil. In the first part, we show that, for a periodic function ρ(t), a linear drift in the coefficient b(t) involves a linear drift for the solution of this ODE. In the second part, we give sufficient conditions on the coefficients to ensure the existence of an unique periodic solution of this differential equation. Numerical examples are given.
منابع مشابه
Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil
This paper is concerned with the linear ODE in the form y(t) = λρ(t)y(t) + b(t), λ < 0 which represents a simplified storage model of the carbon in the soil. In the first part, we show that, for a periodic function ρ(t), a linear drift in the coefficient b(t) involves a linear drift for the solution of this ODE. In the second part, we extend the previous results to a classical heat non-homogene...
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تاریخ انتشار 2008