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

Volume 78 / 2002

G. L. Karakostas, P. Ch. Tsamatos Annales Polonici Mathematici 78 (2002), 267-276 MSC: Primary 34B18. DOI: 10.4064/ap78-3-5

Abstract

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.

Authors

  • G. L. KarakostasDepartment of Mathematics
    University of Ioannina
    451 10 Ioannina, Greece
    e-mail
  • P. Ch. TsamatosDepartment of Mathematics
    University of Ioannina
    451 10 Ioannina, Greece
    e-mail

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