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math.FA2020
On the positive fixed points of quartic operators
Yu. Kh. Eshkabilov, Sh. D. Nodirov
In this paper we consider a one quartic operator on the with positive coefficients. Positive fixed points for a quartic operator, were investigated. Theorems on numb…
math.FA2018
Positive fixed points of cubic operators on and Gibbs Measures
Yu. Kh. Eshkabilov, Sh. D. Nodirov
In this paper we consider one model with nearest-neighbor interactions and with the set of spin values on the Cayley tree of order three. Translation-invariant Gibbs measur…
math.FA2015
On positive solutions of the homogeneous Hammerstein integral equation
Yu. Kh. Eshkabilov, F. H. Haydarov
In this paper the existence and uniqueness positive fixed points of the one nonlinear integral operator are discussed. We prove that existence finite positive solutions of the inte…