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- W2147500988 abstract "In this paper we discuss the existence of periodic solutions of discrete (and discretized) non-linear Volterra equations with finite memory. The literature contains a number of results on periodic solutions of non-linear Volterra integral equations with finite memory, of a type that arises in biomathematics. The “summation” equations studied here can arise as discrete models in their own right but are (as we demonstrate) of a type that arise from the discretization of such integral equations. Our main results are in two parts: (i) results for discrete equations and (ii) consequences for quadrature methods applied to integral equations. The first set of results are obtained using a variety of fixed point theorems. The second set of results address the preservation of properties of integral equations on discretizing them. An expository style is adopted and examples are given to illustrate the discussion." @default.
- W2147500988 created "2016-06-24" @default.
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- W2147500988 date "2007-01-01" @default.
- W2147500988 modified "2023-09-22" @default.
- W2147500988 title "Concerning Periodic Solutions of Non-linear Discrete Volterra Equations with Finite Memory" @default.
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- W2147500988 hasPublicationYear "2007" @default.
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