Existence of concave symmetric positive solutions for a three-point boundary value problems


Akcan U., AYKUT HAMAL N.

ADVANCES IN DIFFERENCE EQUATIONS, vol.2014, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2014
  • Publication Date: 2014
  • Doi Number: 10.1186/1687-1847-2014-313
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: three-point boundary value problem, symmetric positive solution, integral boundary condition, fixed point theorem, KIND
  • Anadolu University Affiliated: Yes

Abstract

In this paper, we investigate the existence of triple concave symmetric positive solutions for the nonlinear boundary value problems with integral boundary conditions. The proof is based upon the Avery and Peterson fixed point theorem. An example which supports our theoretical result is also indicated.