Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such equations are elements of an appropriate Banach sp...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/1319049 |