Solutions and modeling for linear differential systems with constant coefficients
β Scribed by V. De Maertelaer; F.R.L. Cantraine
- Publisher
- Elsevier Science
- Year
- 1971
- Weight
- 486 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0010-468X
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β¦ Synopsis
This program has been developed for the investigation of biological systems, especially for the simulation of compartmental models. However, it can be applied to any problem leading to a system of linear differential equations with constant coefficients.
It deals with systems whose input flux is either a constant, an exponential, or a linear combination of exponentials and this for any arbitrary initial conditions. The originality of our program is that the matrix of the system may be very general, Le. matrices with multiple eigenvalues are taken into account. Moreover analytic solutions are obtained which are useful to study statistical distribution and confidence intervals of parameters.
Linear systems simulation compartments
- Computational method
π SIMILAR VOLUMES
Using the theory of generalized functions and the theory of Fourier transforms in several complex variables, previous authors developed a nonconstructive, integral representation for power series solutions to a given system of linear, constant coefficient partial differential equations (PDEs). For a
## Abstract Let __P__(__z__) be a polynomial of degree __n__ with complex coefficients and consider the __n__βth order linear differential operator __P__(__D__). We show that the equation __P__(__D__)__f__ = 0 has the HyersβUlam stability, if and only if the equation __P__(__z__) = 0 has no pure im
Let K represent either the real or the complex numbers. Let P k , k=1, 2, ..., r be constant coefficient (with coefficients from K) polynomials in n variables and let r] be the set of all polynomial solutions (of degree M) to this system of partial differential equations. We solve the problem of fi