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

Regular and singular asymptotic methods are applied to one- and two-dimensi onal Fredholm-Volterra integral equation (F-VIE) of the first kind that ari se in the treatment of various two-dimensional axisymmetric and three-dimen sional problems with mixed boundary conditions in the mechanics of continuo us media. The solution of the integral equation is obtained in the space L- 2(Omega) x C(0, T), 0 less than or equal to t less than or equal to T < inf inity under certain conditions, where Omega is the domain of integration an d t is an element of (0, T) is the time interval. (C) 2002 Elsevier Science Inc. All rights reserved.