Existence of positive solutions for nonlinear third-order m-point boundary value problems on time scales

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Karaca I. Y., Tokmak F.

Filomat, cilt.28, sa.5, ss.925-935, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1405925k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.925-935
  • Anahtar Kelimeler: Fixed-point theorem, Green’s function, m-point boundary value problem, p-Laplacian, Time scales
  • Gazi Üniversitesi Adresli: Hayır

Özet

© 2014, University of Nis. All rights reserved.In this paper, we investigate the existence of double positive solutions for nonlinear third-order m-point boundary value problems with p-Laplacian on time scales. By using double fixed point theorem, we establish results on the existence of two positive solutions with suitable growth conditions imposed on the nonlinear term. As an application, we give an example to demonstrate our main result.