Global behavior of the components for the second order -point boundary value problems.
An, Yulian, Ma, Ruyun (2008)
Boundary Value Problems [electronic only]
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Displaying similar documents to “Exact multiplicity of positive solutions for a class of second-order two-point boundary problems with weight function.”
Global behavior of the components for the second order -point boundary value problems.
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We give a sufficient condition for [μ-M, μ+M] × {0} to be a bifurcation interval of the equation u = L(λu + F(u)), where L is a linear symmetric operator in a Hilbert space, μ ∈ r(L) is of odd multiplicity, and F is a nonlinear operator. This abstract result provides an elementary proof of the existence of bifurcation intervals for some eigenvalue problems with nondifferentiable nonlinearities. All the results obtained may be easily transferred to the case of bifurcation from infinity. ...