Fredholm–Volterra integral equation of the first kind and contact problem

摘要

Regular and singular asymptotic methods are applied to one- and two-dimensional Fredholm–Volterra integral equation (F–VIE) of the first kind that arise in the treatment of various two-dimensional axisymmetric and three-dimensional problems with mixed boundary conditions in the mechanics of continuous media. The solution of the integral equation is obtained in the space L2(Ω)×C(0,T),0⩽t⩽T<∞ under certain conditions, where Ω is the domain of integration and t∈(0,T) is the time interval.