On positive solutions of m-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales


Fen F. T. , Karaca I. Y.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.46, ss.723-738, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 46 Konu: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s13226-015-0139-2
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.723-738

Özet

In this paper, we consider a second-order m-point impulsive boundary value problem on time scales. We establish the criteria for the existence of at least two positive solutions of a noneigenvalue problem. Later, we study the existence of at least one positive solution of an eigenvalue problem. We also give two examples to illustrate our results.