engleski

Qualitative analysis of some solutions of system of quasilinear differential equations

In this paper we study the existence and behaviour of some solutions of the system of quasilinear differential equations. The behaviour of solutions in the neighbourhood of an arbitrary curve is considered, with extraordinary attention on some special cases. The obtained results contain an answer to the question on approximation as well as stability of solutions whose existence is established. The errors of the approximation are defined by the functions that can be sufficiently small. The qualitative analysis theory of differential equations and the topological retraction method are used.

system of quasilinear differential equations; existence of solutions; behaviour of solutions

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