ON FIXED POINTS OF HAMMERSTEIN OPERATOR WITH DEGENERATE KERNEL

Authors

S.A. Rustamova National University of Uzbekistan

Abstract

We construct a degenerate kernel such that Hammerstein operator has exactly three positive fixed points.

Author Biography

S.A. Rustamova, National University of Uzbekistan

References

. Krasnosel’ski, M.A.: Positive solutions of opertor equations. (Gos. Izd. Moscow, 1969) (Russian).

. Eshkabilov Yu.Kh, Haydarov F.H., Rozikov U.A.: Uniqueness of Gibbs Measure for Models With Uncountable Set of Spin Values on a Cayley Tree. Math. Phys. Anal. Geom. 16 (2013), 1-17.

. Yu. Kh. Eshkabilov, Sh. D. Nodirov, F. H. Haydarov: Positive fixed points of quadratic operators and Gibbs Measures, Positivity 20(4) (2016).

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Published

2023-08-25

Issue

Vol. 1 No. 1 (2023): “RAQAMLI ENERGETIKA TIZIMINI YARATISHNING ISTIQBOLLARI, MUQOBIL ENERGIYA OLISHNING MUAMMOLARI VA YECHIMLARI-2023” XALQARO ILMIY-AMALIY KONFERENSIYASINING ILMIY MAQOLA VA TEZISLARI TO‘PLAMI. JIZPI AXBOROTNOMASI

Section

METHODS, ALGORITHMS AND SOFTWARE FOR AUTOMATIC CONTROL PROCESSES.