Janeska, Margarita and Taleska, Suzana (2000) Analisys of the local stability with a linearization of the non-linear differential equations’ system. In: International Conference on Complex Analysis, Differential Equations and related topics, Ufa, Russia.
Full text not available from this repository.Abstract
The integral calculation and the differential equations represent relevant mathematics techniques for the dynamic analysis of variables that are tested in case when the time is considered to be a continuous variable.
It means that in the dynamic models are described the variable’s time movements with differential equations. Since in this study a system of non-linear differential equations is considered, it means that there are more variables (two in our case) at the same time.
In order to obtain the required solution that is – Particular integrals (the inter-time values of balance of different variables) and the complimentary functions (balance deviation), linearization of non-differential equations’ system is carried out. This linearization is carried out by the help of the Taylor’s development of the given system around its balance.
Based on such a linearization, an analysis is made on the local stability of the variables and their balance.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Subjects: | Scientific Fields (Frascati) > Social Sciences > Economics and Business |
| Divisions: | Faculty of Economics |
| Depositing User: | Mr Dimitar Risteski |
| Date Deposited: | 05 Feb 2020 12:12 |
| Last Modified: | 05 Feb 2020 12:12 |
| URI: | https://eprints.uklo.edu.mk/id/eprint/2399 |
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