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Analysis of a bifurcation problem

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  • Elhajji, S.
  • Errachid, M.

Abstract

It is about studying branches of bifurcation of a nonlinear equation of the type: u−λLu+g(λ,u,y)=0, in a neighborhood of a particular solution (λ0,0,0)∈R×E×F. E and F being two real Banach spaces, L a linear operator defines on E admitting λ0 for a characteristic value and g is a nonlinear operator defined on W to values in E. The bifurcation tempted several researchers by its different applications. Notably to the resolution of differential equations as those of Von–Karmann and Navier–Stokes or to integral equations as the Urysohn’s one (see [9]).

Suggested Citation

  • Elhajji, S. & Errachid, M., 2002. "Analysis of a bifurcation problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(3), pages 231-245.
    • Handle: RePEc:eee:matcom:v:58:y:2002:i:3:p:231-245
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    Cited by:

    1. Nikolay M. Evstigneev & Nikolai A. Magnitskii, 2023. "Bifurcation Analysis Software and Chaotic Dynamics for Some Problems in Fluid Dynamics Laminar–Turbulent Transition," Mathematics, MDPI, vol. 11(18), pages 1-25, September.

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