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, cilt.20, sa.2, ss.188-204, 2015 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3846/13926292.2015.1020531
  • Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.188-204
  • Anahtar Kelimeler: boundary value problems, fixed point theorem, positive solutions, integral boundary conditions, EXISTENCE
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Evet

Özet

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.