Naslov
Parameter classes of solutions for system of quasilinear differential equations
(Pparameter classes of solutions for system of quasilinear differential equations)

Autori
Vrdoljak, Božo ; Omerspahić, Alma

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Applied Mathematics and Scientific Computing / Marušić, Miljenko et al. - Zagreb : Matematički odsjek Prirodoslovno-matematičkog fakulteta Sveučilišta u Zagrebu, 2003, 28-29

Skup
Conference on Applied Mathematics and Scientific Computing

Mjesto i datum
Brijuni, Hrvatska, 23.06.2003. - 27.06.2003

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
system of quasilinear differential equations; parameter classes of solutions

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA