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

FEN F., Karaca I. Y.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.1, ss.191-204, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-014-0494-y
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.191-204
  • Anahtar Kelimeler: Time scales, impulsive boundary value problems, fixed-point theorem, integral boundary conditions, positive solution, DIFFERENTIAL-EQUATIONS, BANACH-SPACES, DYNAMIC EQUATIONS
  • Gazi Üniversitesi Adresli: Evet

Özet

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.