Innitely many solutionsat a resonance

Philip Korman, Yi Li · 2000

We use bifurcation theory to show the existence of innitely many solutions at the rst eigenvalue for a class of Dirichlet problems in one dimension. It hasbeen observedthatcomplexity ofthe solutioncurvefor the boundary value problem u 00 +f(u)=0 for0<x<L, u(0)=u(L)=0 (1)

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