On the existence of positive solutions for the second-order boundary value problem

Dogan A.

APPLIED MATHEMATICS LETTERS, cilt.49, ss.107-112, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.aml.2015.05.004
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.107-112
  • Anahtar Kelimeler: Boundary value problem, Green's function, Multiple solution, Fixed point theorem, ORDERED BANACH-SPACES, FIXED-POINTS, DEPENDENCE
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

This paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the Leggett-Williams fixed point theorem, we prove the existence of at least three symmetric positive solutions. (C) 2015 Elsevier Ltd. All rights reserved.