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Functions uniformly quiet at zero and existence results for one-parameter boundary value problems

G. L. KarakostasP. Ch. Tsamatos — 2002

Annales Polonici Mathematici

We introduce the notion of uniform quietness at zero for a real-valued function and we study one-parameter nonlocal boundary value problems for second order differential equations involving such functions. By using the Krasnosel'skiĭ fixed point theorem in a cone, we give values of the parameter for which the problems have at least two positive solutions.

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