Structure of fractional spaces generated by second order difference operators

Ashyralyev, YAŞAR; Nalbant, Nese; Sozen, Yasar

doi:10.1016/j.jfranklin.2013.07.009

Structure of fractional spaces generated by second order difference operators

Atıf İçin Kopyala

Ashyralyev A., Nalbant N., Sozen Y.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.351, sa.2, ss.713-731, 2014 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 351 Sayı: 2
Basım Tarihi: 2014
Doi Numarası: 10.1016/j.jfranklin.2013.07.009
Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.713-731
Hacettepe Üniversitesi Adresli: Evet

Özet

A second order difference operator with nonlocal boundary conditions is considered. The positivity of this operator in Banach spaces is proved. Moreover, the structure of the fractional spaces generated by this operator is investigated. Furthermore, the positivity of this operator in Holder spaces is proved. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.