On a class of separable quadratic stochastic operators
U. A. RozikovAbdus Salam School of Mathematical Sciences (ASSMS), GCU, Lahore, PakistanAkbar ZadaInstitute of Mathematics and Information Technologies, Tashkent, Uzbekistan
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Annotatsiya
The purpose of this paper is to investigate a class of separable quadratic stochastic operators. Each separable quadratic stochastic operator (SQSO) depends on two quadratic matrices A and B, which have some relations. In this paper we proved that for each skew symmetric matrix A the corresponding SQSO is a linear operator. We also proved that non linear Volterra QSOs are not SQSOs. For a fixed matrix A we also discussed some properties of the set of all the corresponding matrices B of SQSOs.
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