Compatible linear lypunov function for infinite dimensional volterra quadratic stochastic operators
The simplest non-linear operator is the quadratic ones. Most of the researches in this direction were investigating on finite set of all probability distributions. However, there are models where the probability distributions are countably infinite, which means that the considered operators are defi...
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| Format: | Conference or Workshop Item |
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2022
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| Online Access: | http://eprints.utm.my/id/eprint/98788/ http://dx.doi.org/10.1007/978-3-031-06170-7_19 |
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| Summary: | The simplest non-linear operator is the quadratic ones. Most of the researches in this direction were investigating on finite set of all probability distributions. However, there are models where the probability distributions are countably infinite, which means that the considered operators are defined on infinite-dimensional spaces. We restrict ourselves to Quadratic Stochastic Operators (QSOs) define on infinite dimension, specifically a class of QSOs called Volterra. In this paper, we construct a linear Lyapunov function for infinite dimensional Volterra QSOs by means of finite dimensional ones. |
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