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

FEN, FATMA; Karaca, Ilkay

doi:10.1007/s13226-015-0139-2

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

FEN F., Karaca I. Y.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.46, sa.5, ss.723-738, 2015 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 46 Sayı: 5
Basım Tarihi: 2015
Doi Numarası: 10.1007/s13226-015-0139-2
Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.723-738
Anahtar Kelimeler: Positive solutions, double fixed-point theorem, fixed point index theorem, time scales, impulsive boundary value problems, EXTREMAL SOLUTIONS
Gazi Üniversitesi Adresli: Evet

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.