Non-negative convergent solutions of discrete Volterra equations

Abstract

The existence of non-negative convergent solutions of discrete Volterra equations is obtained, by using a variety of fixed-point theorems. Examples are given to illustrate the results.

Keywords:

• fixed-point theorems
• discrete Volterra equations
• admissibility
• non-negative convergent solutions

AMS Subject Classification::

• 39A10
• 39A11
• 39A12
• 39A70

Acknowledgements

We are grateful to the editor and referees for their valuable comments on the presentation of the results in this paper. The work of the first author is supported by JGSF of Jiangsu (No. 07KJB110104).