Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Alma Omerspahić
Pages: [49] - [58]
Received Date: February 5, 2014
Submitted by:
The paper presents some result on the existence and behaviour of solutions of the quasilinear systems of differential equations. The behaviour of integral curves in neighbourhood of the solutions of corresponding linear systems is considered. The obtained results also contain the answer to the question on approximation 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.
quasilinear differential equation, behaviour of solutions, approximation of solutions.
