Reproducing kernel functions for difference equations

Ali  Akgül; Mustafa  Inc; Esra  Karatas

doi:10.3934/dcdss.2015.8.1055

Article Contents

2015, Volume 8, Issue 6: 1055-1064. Doi: 10.3934/dcdss.2015.8.1055

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Reproducing kernel functions for difference equations

1.
Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100 Siirt
2.
Fırat University, Science Faculty, Department of Mathematics, 23119 Elazıǧ

Received: April 30, 2015

Revised: August 31, 2015

Published: November 2015

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Abstract

In this work, some new reproducing kernel functions for difference equations are found. Reproducing kernel functions have not been obtained for difference equations until now. We need these functions to solve difference equations with the reproducing kernel method. Therefore, these functions are very considerable functions.

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Mathematics Subject Classification: Primary: 46E22, 31C20; Secondary: 39A10.

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