32 citations · 67 across the 10 of their papers we have counts for
10 papers
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…
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…
Phase transition for models with continuum set of spin values on Bethe lattice
Yu. Kh. Eshkabilov, G. I. Botirov, F. H. Haydarov
In this paper we consider models with nearest-neighbor interactions and with the set [0,1] of spin values, on a Bethe lattice (Cayley tree) of an arbitrary order. These models depe…
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…
Phase Transitions for a model with uncountable set of spin values on a Cayley tree
Yu. Kh. Eshkabilov, U. A. Rozikov, G. I. Botirov
In this paper we consider a model with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . To study translation-invariant G…
Non-uniqueness of Gibbs Measure for Models With Uncountable Set of Spin Values on a Cayley Tree
Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov
In this paper we construct several models with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . We prove that each of the…
Uniqueness of Gibbs Measure for Models With Uncountable Set of Spin Values on a Cayley Tree
Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov
We consider models with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . It is known that the "splitting Gibbs measures"…
The Efimov's effect for the Fridrix's model
Yu. Kh. Eshkabilov
We study existance of infinitely many egenvalues of the Fridrix's model.
The Efimov's effect for a model of a three particle discrete Shrödinger operator
Yu. Kh. Eshkabilov
In the paper we study existance of infinitly many egenvalues for a model of a three particle discrete Shrödinger operator.
On solvability of a partial integral equation in the space
Yu. Kh. Eshkabilov
In this paper we investigate solvability of a partial integral equation in the space where We define a determinant for the partial integral equation a…