Verification of bifurcation diagrams for polynomial-like equations

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摘要

The results of our recent paper [P. Korman, Y. Li, T. Ouyang, Computing the location and the direction of bifurcation, Math. Res. Lett. 12 (2005) 933–944] appear to be sufficient to justify computer-generated bifurcation diagram for any autonomous two-point Dirichlet problem. Here we apply our results to polynomial-like nonlinearities.

论文关键词：34B15,65L10,Exact number of solutions,Verification of bifurcation diagrams

论文评审过程：Received 31 May 2006, Revised 7 November 2006, Available online 9 January 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2006.11.031