On a class of separable quadratic stochastic operators
U. A. RozikovAbdus Salam School of Mathematical Sciences (ASSMS), GCU, Lahore, PakistanAkbar ZadaAbdus Salam School of Mathematical Sciences (ASSMS), GCU, Lahore, Pakistan
ABI
Аннотация
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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