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

Part of: Boundary value problems

Published online by Cambridge University Press:  09 April 2009

Shin-Hwa Wang  and
Nicholas D. Kazarinoff
Shin-Hwa Wang
Affiliation:
Department of MathematicsNational Tsing Hua UniversityHsinchu, Taiwan 300 R.O.C.
Nicholas D. Kazarinoff
Affiliation:
Department of MathematicsNational Tsing Hua UniversityHsinchu, Taiwan 300 R.O.C.
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Abstract

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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.

Keywords

bifurcationstabilitypositive solutiontwo-point boundary value problemand Conley index.

MSC classification

Secondary: 34B15: Nonlinear boundary value problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 52 , Issue 3 , June 1992 , pp. 334 - 342
Copyright
Copyright © Australian Mathematical Society 1992

References

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