We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value problem that models the displacement of a beam subject to some feedback controllers. MSC: 47H10, 34B10, 34B18.
New criteria for the existence of non-trivial fixed points in cones
INFANTE, GENNARO
2013-01-01
Abstract
We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value problem that models the displacement of a beam subject to some feedback controllers. MSC: 47H10, 34B10, 34B18.File in questo prodotto:
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