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We present new results on the existence of multiple positive solutions of a fourth-order differential equation subject to nonlocal and nonlinear boundary conditions that models a particular stationary state of an elastic beam with nonlinear controllers. Our results are based on classical fixed point index theory. We improve and complement previous results… (More)

- P. K. Palamides, Gennaro Infante, P. Pietramala
- Appl. Math. Lett.
- 2009

We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.

Let K be a closed convex subset of a Hilbert space H and T : K ⊸ K a non-expansive multivalued map with a unique fixed point z such that {z} = T (z). It is shown that we can construct a sequence of approximating fixed points sets converging in the sense of Mosco to z. Let H be a Hilbert space, K a closed convex subset of H, T a multivalued nonexpansive map… (More)

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