The integral equations of plane contact problems for high values of the parameter

Typical integral equations of the first kind, that arise when investigating various plane static contact problems, are considered. These are, for example, problems for a layer of finite thickness, problems for an infinite circular cylinder and a space with an infinite cylindrical cavity of finite inner radius, and problems for an infinite wedge-shaped region. To solve these, it is proposed to use a regular asymptotic method of high values of the characteristic parameter λ.