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On Parameter Classes of Solutions for System of Quasilinear Differential Equations

In: Proceedings of the Conference on Applied Mathematics and Scientific Computing

Author

Listed:
  • Alma Omerspahić

    (University of Sarajevo, Faculty of Mechanical Engineering in Sarajevo)

  • Božo Vrdoljak

    (University of Split, Faculty of Civil Engineering)

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.

Suggested Citation

  • Alma Omerspahić & Božo Vrdoljak, 2005. "On Parameter Classes of Solutions for System of Quasilinear Differential Equations," Springer Books, in: Zlatko Drmač & Miljenko Marušić & Zvonimir Tutek (ed.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, pages 263-272, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-3197-7_19
    DOI: 10.1007/1-4020-3197-1_19
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