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Existence of multiple positive solutions for nonlinear $$m$$-point boundary value problems. (English) Zbl 1030.34026
Summary: Here, we afford some sufficient conditions to guarantee the existence of multiple positive solutions to the nonlinear $$m$$-point boundary value problem for the one-dimensional $$p$$-Laplacian $\bigl( \varphi_p (u')\bigr)'+ a(t)f(t,u)=0,\;t\in(0,1), \quad u(0)=0,\;u(1)=\sum^{m-2}_{i=1} a_iu(\xi_i).$

##### MSC:
 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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##### References:
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