Steady state bifurcations and exact multiplicity conditions via Carleman linearization
نویسندگان
چکیده
منابع مشابه
On the Exact Multiplicity of Solutions for Boundary-value Problems via Computing the Direction of Bifurcations
We consider positive solutions of the Dirichlet problem u′′(x) + λf(u(x)) = 0 in (−1, 1), u(−1) = u(1) = 0. depending on a positive parameter λ. We use two formulas derived in [18] to compute all solutions u where a turn may occur and to compute the direction of the turn. As an application, we consider quintic a polynomial f(u) with positive and distinct roots. For such quintic polynomials we c...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1987
ISSN: 0022-247X
DOI: 10.1016/0022-247x(87)90082-5