On surjective second order non-linear Markov operators and associated nonlinear integral equations

DOI10.1007/s11117-018-0587-0zbMath1503.47085OpenAlexW2803510357MaRDI QIDQ1624085

Otabek Khakimov, Ahmad Fadillah Embong, Farrukh Mukhamedov

Publication date: 15 November 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: http://irep.iium.edu.my/65239/1/65239_On%20surjective%20second%20order%20non-linear%20Markov%20operators_Publisher%27s%20website.pdf

zbMATH Keywords

integral equationsurjectivequadratic stochastic operatornon-linear Markov operatororthogonality preserving

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Ergodic theorems, spectral theory, Markov operators (37A30) Random nonlinear operators (47H40)

Related Items (8)

Projective surjectivity of quadratic stochastic operators on \(L^1\) and its application ⋮ Dynamical system of a quadratic stochastic operator with two discontinuity points ⋮ A class of Lotka-Volterra operators with historical behavior ⋮ Unnamed Item ⋮ A class of bijective Lotka–Volterra operators and its application ⋮ Ergodicities of infinite dimensional nonlinear stochastic operators ⋮ Infinite dimensional orthogonality preserving nonlinear Markov operators ⋮ Quadratic non-stochastic operators: examples of splitted chaos

Cites Work

• On the surjectivity of quadratic stochastic operators acting on the simplex
• Two problems of the theory of quadratic maps
• Quadratic stochastic operators corresponding to graphs
• Quantum quadratic operators and processes
• Orthogonal-preserving and surjective cubic stochastic operators
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• Eigenvalues of a real supersymmetric tensor
• On infinite dimensional quadratic Volterra operators
• Infinite-dimensional quadratic Volterra operators
• QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS
• On non-linear Markov operators: surjectivity vs orthogonal preserving property
• On Volterra and orthogonality preserving quadratic stochastic operators
• Solution of a Mathematical Problem Connected with the Theory of Heredity
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