Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions

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Karaca I. Y., FEN F.

MATHEMATICAL MODELLING AND ANALYSIS, vol.20, no.2, pp.188-204, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.3846/13926292.2015.1020531
  • Journal Name: MATHEMATICAL MODELLING AND ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.188-204
  • Keywords: boundary value problems, fixed point theorem, positive solutions, integral boundary conditions, EXISTENCE
  • Gazi University Affiliated: Yes

Abstract

In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results.