engleski

Pparameter classes of solutions for system of quasilinear differential equations

The paper presents some results on the existence and behaviour of some parameter classes of solutions for the system of quasilinear differential equations. The behaviour of integral curves in the neighbourhood of an arbitrary curve is considered, with particular treatment of some special cases. The obtained results contain the answer to the question on stability (stability (or instability) with the function of stability (or instability), including auto-stability and stability along the coordinates of certain classes of solutions) as well as approximation of solutions whose existence is established. The errors of the approximation are defined by the functions that can be sufficiently small. The theory of qualitative analysis of differential equations and topological retraction method are used.

system of quasilinear differential equations; parameter classes of solutions

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