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Existence of multiple positive solutions to a conjugate boundary value problem. (English) Zbl 0960.34503
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:
34B15 Nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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