Abstract
We establish the existence, uniqueness and asymptotic behavior of the solution to a class of difference equations in a real Banach space, namely (1.1) below. The operator A which governs the problem is m-accretive. This equation is of interest because it is the discrete analog of a class of evolution equations studied by many mathematicians.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35690-7_44
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Apreutesei, N.C. (2003). Existence and Asymptotic Behavior for some Difference Equations Associated with Accretive Operators. In: Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (eds) Analysis and Optimization of Differential Systems. SEC 2002. IFIP — The International Federation for Information Processing, vol 121. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35690-7_3
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DOI: https://doi.org/10.1007/978-0-387-35690-7_3
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