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Existence of multiple positive solutions for three point boundary value problems. (English) Zbl 1150.34364
Summary: Using a fixed theorem in cones, the authors prove the existence of multiple positive solutions to the following boundary value problem \[ \begin{aligned} & u''+a (t)f (u)=0, t\in [0, 1], \\&u (0)=0, \alpha u (\eta) =u (1). \end{aligned} \]
MSC:
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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