# zbMATH — the first resource for mathematics

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