On dynamic problem and integral equation

In this work, the Fredholm integral equation of the second kind with logarithmic kernel is established from dynamic elastic problem. Such problem appears, for example, when a stamp of length 2a is impressed into the boundary of a strip y=h by a variable force P(t) with time t∈[0,T], T<∞. Also the strip, without fraction, lies on a rigid elastic layer of thickness H. The solution of the integral equation is obtained using Chebyshev polynomial. A numerical result is obtained for the problem.