Existence of Positive Solutions for Nonlinear Second-Order Impulsive Boundary Value Problems on Time Scales


FEN F., Karaca I. Y.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.13, no.1, pp.191-204, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1007/s00009-014-0494-y
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.191-204
  • Keywords: Time scales, impulsive boundary value problems, fixed-point theorem, integral boundary conditions, positive solution, DIFFERENTIAL-EQUATIONS, BANACH-SPACES, DYNAMIC EQUATIONS
  • Gazi University Affiliated: Yes

Abstract

This paper is concerned with the existence of positive solutions of second-order impulsive boundary value problem with integral boundary conditions on time scales. Existence results of at least three positive solutions are established via a new fixed point theorem in a cone. Also, an example is given to illustrate the effectiveness of our result.