On Superposition of Linear and Quadratic Operators

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DOI: https://doi.org/10.28924/2291-8639-24-2026-348
Published: Oct 15, 2026
Cite as:
B.J. Mamurov, T.H. Rasulov, G.R. Yodgorov, N.A. Tosheva, S.H. Aliyeva, On Superposition of Linear and Quadratic Operators, Int. J. Anal. Appl., 24 (2026), 348.

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B.J. Mamurov, T.H. Rasulov, G.R. Yodgorov, N.A. Tosheva, S.H. Aliyeva

Abstract

This paper investigates the dynamics of operators obtained by superposing a linear stochastic operator with a Volterra quadratic stochastic operator on the two-dimensional simplex. We establish the existence and uniqueness of fixed points for the resulting operators and analyze their local stability. In particular, the eigenvalues of the corresponding Jacobian matrices are used to determine the stability and classify the types of the fixed points.

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