3 papers
math-ph2017
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…
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…
math-ph2012
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…