Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631387 | Applied Mathematics and Computation | 2012 | 14 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stephane Cordier, Le Xuan Truong, Nguyen Thanh Long, Alain Pham Ngoc Dinh,