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

How to Cite

Rustamova, S. (2023). ON FIXED POINTS OF HAMMERSTEIN OPERATOR WITH DEGENERATE KERNEL. JIZPI XABARNOMASI, 1(1), 312–313. Retrieved from https://jurnal.jizpi.uz/index.php/JOURNAL/article/view/89