Title of article
POSITIVITY OF A ONE-DIMENSIONAL DIFFERENCE OPERATOR IN THE HALF-LINE AND ITS APPLICATIONS
Author/Authors
ASHYRALYEV, A. ITTU - Department of Mathematics, Turkmenistan , ASHYRALYEV, A. Fatih University - Department of Mathematics, Turkey , AKTURK, S. Fatih University - Department of Mathematics, Turkey
From page
204
To page
220
Abstract
In the present paper, the positivity of one-dimensional difference operator in the half-line is considered. The structure of fractional spaces generated by difference operators in the half-line is investigated. The equivalence of the norms of these fractional spaces and Holder spaces is established. We also discuss its applications to partial differential equations and theory of difference schemes for partial differential equations.
Keywords
Positive Operator , Fractional Spaces , Green’s Function , Holder Spaces
Journal title
Applied and Computational Mathematics
Journal title
Applied and Computational Mathematics
Record number
2544213
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