On some classes of nonlinear integral equations with noncompact operators

Abstract

The work is devoted to the investigation of some classes of nonlinear integral equations of Hammerstein–Nemitski type with noncompact operators. Above mentioned class of equations, beside the theoretical interest has immediately an application in kinetic theory of gases. The existence theorems for positive solutions in different functional spaces are proved.

Keywords

• hammerstein–nemitski type integral equation
• condition of conservativity
• caratheodory's condition
• monotonicity
• wiener–hopf equation