On Positive Solutions of Nonlinear Third-Order Impulsive Boundary Value Problems on Time Scales


Karaca I. Y., FEN F.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.6, ss.4447-4461, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 6
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-016-0755-z
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4447-4461
  • Anahtar Kelimeler: Fixed-point theorem, impulsive boundary value problems, integral boundary conditions, positive solution, time scales, BANACH-SPACES, EQUATIONS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, using four functionals fixed point theorem, we obtain sufficient conditions for the existence of at least one positive solution of a third-order impulsive boundary value problem with integral boundary conditions on time scales. As an application, we give two examples to demonstrate our main result.