Structure of fractional spaces generated by second order difference operators

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• 作者：Allaberen Ashyralyev ; Ne艧e Nalbant ; Ya艧ar S枚zen
• 刊名：Journal of The Franklin Institute
• 出版年：February, 2014
• 年：2014
• 卷：351
• 期：2
• 页码：713-731
• 全文大小：327 K

文摘

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 H枚lder spaces is proved.