Multiple Positive Solutions for the Dirichlet Boundary Value Problems by Phase Plane Analysis

A. Kirichuka and F. Sadyrbaev

Abstract and Applied Analysis, 2015, vol. 2015, 1-6

Abstract:

We consider boundary value problems for scalar differential equation , , , where is a seventh-degree polynomial and is a parameter. We use the phase plane method combined with evaluations of time-map functions and make conclusions on the number of positive solutions. Bifurcation diagrams are constructed and examples are considered illustrating the bifurcation processes.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:302185

DOI: 10.1155/2015/302185

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