کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631387 | 1340621 | 2012 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil](/preview/png/4631387.png)
چکیده انگلیسی
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-homogeneous equation. The connection with an analytic semi-group associated to the ODE equation is considered in the third part. Numerical examples are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 9, 1 January 2012, Pages 5641–5654
Journal: Applied Mathematics and Computation - Volume 218, Issue 9, 1 January 2012, Pages 5641–5654
نویسندگان
Stephane Cordier, Le Xuan Truong, Nguyen Thanh Long, Alain Pham Ngoc Dinh,