Abstract
In this paper we study the existence and behaviour of some solutions of the system of quasilinear differential equations. 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 [6].
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References
J.Diblik, On Asymptotic behaviour of Solutions of Certain Classes of ordinary Differential Equations, Journal of Differential Equations 95 (1992), 203–217.
W.H.Steeb, F.Wilhelm, Non-Linear Autonomous Systems of Differential Equations and Carleman Linearization Procedure, Journal of Mathematical Analysis and Applications 77 (1980), 601–611.
B.Vrdoljak, On Classes of solutions of a quasi-linear system of differential equations and certain nonlinear oscillations, J.Bulyai math. Soc., Budapest, (1988), 510–513.
B.Vrdoljak, On behaviour and stability of system of linear differential equations, Proceedings of the 2nd Congress of Croatian Society of Mechanics, Supetar, 1997, 631–638.
B. Vrdoljak, On behaviour of solutions of system of linear differential equations, Mathematical Communications 2 (1997), 47–57.
T.Wažewski, Sur un principe topologique de l’examen de l’allure asymptotique des intégrales des équations différentielles ordinaires,Ann. Soc. Polon. Math. 20 (1947), 279–313.
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© 2002 Springer Science+Business Media New York
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Vrdoljak, B., Omerspahić, A. (2002). Qualitative Analysis of Some Solutions of Quasilinear System of Differential Equations. In: Drmač, Z., Hari, V., Sopta, L., Tutek, Z., Veselić, K. (eds) Applied Mathematics and Scientific Computing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4532-0_20
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DOI: https://doi.org/10.1007/978-1-4757-4532-0_20
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3390-4
Online ISBN: 978-1-4757-4532-0
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