Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil
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چکیده
منابع مشابه
Large time behavior of differential equations with drifted periodic coefficients and 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 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 ensur...
متن کاملLarge 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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1 Am. J. Math.,, 47, 140-147 (1925). 2 Mitchell, H. H., Trans. Am. Math. Soc., 17, 167 (1916). 3 Vandiver, H. S., these PROCEEDINGS, 28, 25 (1942). 4 Hilbert, D., Gesammelte Abhandlungen, Bd. I, Berlin, Springer (1932), pp. 199, 203. 5The derivations of the formulas (12)-(20) which follow resemble some of the steps in our previous paper,' but from then on the treatment is a bit different. 6 Van...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2012
ISSN: 0096-3003
DOI: 10.1016/j.amc.2011.11.058