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Zbl 0960.34503
Avery, R.
Existence of multiple positive solutions to a conjugate boundary value problem. (English)
[J] Math. Sci. Res. Hot-Line 2, No.1, 1-6 (1998). ISSN 1087-9919

Summary: We are concerned with the conjugate boundary value problem $x''(t)+f(t,x(t))=0, x(0)=0=x(1)$. Under assumptions on $f$ we prove the existence of three positive solutions of this boundary value problem applying the Leggett-Williams fixed point theorem.

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE
47N20 Appl. of operator theory to differential and integral equations

Cited in: Zbl 1013.34017

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