TRIPLE POSITIVE SOLUTIONS OF m-POINT BOUNDARY VALUE PROBLEM ON TIME SCALES WITH p-LAPLACIAN

DOĞAN A.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.43, sa.2, ss.373-384, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 2
  • Basım Tarihi: 2017
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.373-384
  • Anahtar Kelimeler: Time scales, boundary value problem, p-Laplacian, positive solutions, fixed point theorem, INCREASING HOMEOMORPHISM, EXISTENCE, HOMOMORPHISM, BVP
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term f involves a first-order derivative explicitly. Our results are new for the special cases of difference equations and differential equations as well as in the general time scale setting.