On positive solutions of the homogeneous Hammerstein integral equation
Yu. Kh. ÈshkabilovNational University of Uzbekistan, Tashkent, UzbekistanF. H. Haydarov
ABI
Abstract
In this paper the existence and uniqueness of positive fixed points operator for a nonlinear integral operator are discussed. We prove the existence of a finite number of positive solutions for the Hammerstein type of integral equation. Obtained results are applied to the study of Gibbs measures for models on a Cayley tree.