Existence of positive solutions for third-order boundary value problems with integral boundary conditions on time scales

Karaca I. Y., Tokmak F.

Journal of Inequalities and Applications, vol.2013, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-498
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Fixed point theorem, Green's function, Increasing homeomorphism and positive homomorphism, Integral boundary conditions, Positive solution, Time scales
  • Gazi University Affiliated: No

Abstract

In this paper, four functionals fixed point theorem is used to verify the existence of at least one positive solution for third-order boundary value problems with integral boundary conditions for an increasing homeomorphism and homomorphism on time scales. We also provide an example to demonstrate our results. ©2013 Karaca and Tokmak; licensee Springer.