Positive solutions for singular complementary Lidstone boundary value problems (Q657154)

Summary: By using fixed-point theorems on a cone, we investigate the existence and multiplicity of positive solutions for complementary Lidstone boundary value problems \[ (-1)^n u^{(2n+1)} (t) = h(t) f(u(t)),\text{ in }0 < t < 1, \] \(u(0) = 0\), \(u^{(2i+1)} (0) = u^{(2i+1)} (1) = 0,\) \(0 \leq i \leq n - 1,\) where \(n \in\mathbb N\).