Functions uniformly quiet at zero and existence results for one-parameter boundary value problems
Volume 78 / 2002
Annales Polonici Mathematici 78 (2002), 267-276 MSC: Primary 34B18. DOI: 10.4064/ap78-3-5
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.