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2014 | OriginalPaper | Chapter

3. Impulsive Differential Equations

Authors : Marat Akhmet, Enes Yılmaz

Published in: Neural Networks with Discontinuous/Impact Activations

Publisher: Springer New York

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Abstract

Let \(\mathbb{R},\, \mathbb{N}\), and \(\mathbb{Z}\) be the sets of all real numbers, natural numbers, and integers, respectively. Denote by \(\theta =\{\theta _{i}\}\) a strictly increasing sequence of real numbers such that the set \(\mathcal{A}\) of indexes i is an interval in \(\mathbb{Z}.\) The sequence θ is a B−sequence, if one of the following alternatives is valid:

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previous chapter Differential Equations with Piecewise Constant Argument of Generalized Type
next chapter Periodic Motions and Equilibria of Neural Networks with Piecewise Constant Argument
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Metadata
Title
Impulsive Differential Equations
Authors
Marat Akhmet
Enes Yılmaz
Copyright Year
2014
Publisher
Springer New York
Book
Neural Networks with Discontinuous/Impact Activations

Print ISBN: 978-1-4614-8565-0

Electronic ISBN: 978-1-4614-8566-7

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-1-4614-8566-7_3

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