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Existence of three positive solutions to nonlinear boundary value problems. (English) Zbl 1197.34037

Summary: Criteria are established for the existence of three solutions to the boundary value problem
\[ Lx=f(t,x),\;w_1x(0)-w_2x'(0)=0=w_3x(1)+w_4x'(1), \]
where \(Lx:=-(px')'+qx\). Here, \(p\in C^1[0,1]\), \(p>0\), \(q\in C[0,1]\), \(q\geq 0\).

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
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References:

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