Multiple symmetric positive solutions for a second order boundary value problem

Henderson, Johnny; Thompson, H.

doi:10.1090/S0002-9939-00-05644-6

Multiple symmetric positive solutions for a second order boundary value problem
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by Johnny Henderson and H. B. Thompson PDF

Proc. Amer. Math. Soc. 128 (2000), 2373-2379 Request permission

Abstract:

For the second order boundary value problem, $y''+f(y)=0$, $0\leq t\leq 1$, $y(0)=0=y(1)$, where $f: \mathbb {R}\rightarrow [0, \infty ),$ growth conditions are imposed on $f$ which yield the existence of at least three symmetric positive solutions.

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