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Article

Keywords:
ordinary differential equations; asymptotic properties; chemical kinetics
Summary:
The aim of the paper is to give some preliminary information concerning a class of nonlinear differential equations often used in physical chemistry and biology. Such systems are often very large and it is well known that where studying properties of such systems difficulties rapidly increase with their dimension. One way how to get over the difficulties is to use special forms of such systems.
References:
[1] J. K. Hale: Ordinary Differential Equations. R.E.Krieger Pub. Comp. INC. Malabar, Florida, 1980, 2nd ed. MR 0587488
[2] Ph. Hartman: Ordinary Differential Equations. John Wiley & Sons Inc., New York-London-Sydney, 1964. MR 0171038 | Zbl 0125.32102
[3] N. Rouche, P. Habets, M. Laloy: Stability Theory by Liapunov’s Direct Method. Springer Verlag, New York-Berlin-Heidelberg, 1977. MR 0450715
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