Abstract
Qualitative approximation of solutions to discrete Volterra equations
Highlights
Let N, R denote the set of positive integers and real numbers respectively
In recent years the first author presented a new theory of the study of asymptotic properties of the solutions to difference equations
This theory is based mainly on the examination of the behavior of the iterated remainder operator and on the application of asymptotic difference pairs. This approach allows us to control the degree of approximation
Summary
Let N, R denote the set of positive integers and real numbers respectively. Let m ∈ N. In recent years the first author presented a new theory of the study of asymptotic properties of the solutions to difference equations. This theory is based mainly on the examination of the behavior of the iterated remainder operator and on the application of asymptotic difference pairs. In this paper we continue those investigations by applying asymptotic difference pairs and we generalize the main results from [27,28,29,30,31,33,37,38].
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