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Bifurcation and stability of positive solutions of a two-point boundary value problem

Shin-Hwa Wang, Nicholas D. Kazarinoff
1992 Journal of the Australian Mathematical Society  
We consider the existence of multiple positive solutions of a nonlinear two-point boundary value problem by modifying a "time map" technique introduced by J. Smoller and A. Wasserman. We count the number of positive solutions and find their Conley indices and thus determine their stabilities. 1991 Mathematics subject classification (Amer. Math. Soc): 58 F 14, 34 B 15.
doi:10.1017/s1446788700035060 fatcat:clasq75ndvduji3p25m4ng36ki