On Parameter Classes of Solutions for System of Quasilinear Differential Equations

Alma Omerspahić () and Božo Vrdoljak ()
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Alma Omerspahić: University of Sarajevo, Faculty of Mechanical Engineering in Sarajevo
Božo Vrdoljak: University of Split, Faculty of Civil Engineering

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 263-272 from Springer

Abstract: Abstract The paper presents some results on the existence and behaviour of some parameter classes of solutions for system of quasilinear differential equations. The behaviour of integral curves in neighbourhoods of an arbitrary curve is considered. The obtained results contain the answer to the question on stability 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.

Keywords: quasilinear differential equation; parameter classes of solutions; approximation of solutions (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_19

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DOI: 10.1007/1-4020-3197-1_19

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