Mukhamedov, Farrukh and Khakimov, Otabek and Embong, Ahmad Fadillah
(2020)
*Solvability of nonlinear integral equations and surjectivity of nonlinear markov operators.*
Mathematical Methods in the Applied Sciences, 43
(15).
pp. 9102-9118.
ISSN 0170-4214

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1002/mma.6604

## Abstract

In the present paper, we consider integral equations, which are associated with nonlinear Markov operators acting on an infinite-dimensional space. The solvability of these equations is examined by investigating nonlinear Markov operators. Notions of orthogonal preserving and surjective nonlinear Markov operators defined on infinite dimension are introduced, and their relations are studied, which will be used to prove the main results. We show that orthogonal preserving nonlinear Markov operators are not necessarily satisfied surjective property (unlike finite case). Thus, sufficient conditions for the operators to be surjective are described. Using these notions and results, we prove the solvability of Hammerstein equations in terms of surjective nonlinear Markov operators.

Item Type: | Article |
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Uncontrolled Keywords: | nonlinear integral equation, orthogonal preserving, polynomial stochastic operator, surjective |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 92217 |

Deposited By: | Yanti Mohd Shah |

Deposited On: | 30 Aug 2021 05:10 |

Last Modified: | 30 Aug 2021 05:10 |

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