J Austral Math Soc Ser A 52 pp334--342, 1992.

Bifurcation and Stability of Positive Solutions of a Two-Point Boundary Value Problem

Shin-Hwa Wang and Nicholas D. Kazarinoff

(Received 6 June 1989; revised 18 August 1990)

Abstract

We consider the existence of multiple positive solutions of a nonlinear two-point boundary value problem by mofifying 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 AMS Subject Classification: 58F14, 34B15

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Authors

Shin-Hwa Wang
Nicholas D. Kazarinoff: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan 300, R.O.C.

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Last Modified: Mon Feb 3 9:46:11 2003