On the relation between interior critical points and parameters for a class of nonlinear problems with Neumann–Robin boundary conditions

G.A. Afrouzi and M. Khaleghy Moghaddam

Chaos, Solitons & Fractals, 2006, vol. 29, issue 5, 1109-1114

Abstract: We consider boundary value problem-u″(x)=λf(u(x)),x∈(0,1),u′(0)=0,u′(1)+αu(1)=0,where α⩾0, λ>0 are parameters and f∈C2[0,∞) such that f(0)<0. In this paper we study for the cases p∈(0,β) and p∈(β,θ) (p is the value of the solution at x=0 and β, θ are such that f(β)=0, F(θ)=∫0θf(t)dt=0), the relation between λ and the number of interior critical points of the positive solutions of the above system.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:29:y:2006:i:5:p:1109-1114

DOI: 10.1016/j.chaos.2005.08.164

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