The Solution Of The First Class Of Singular Intergral Equation With Cauchy Core Along Simple Arc Or Simple Arcwise Set

The research and development of the singular intergral equation has a long history .It is important to mang actual problems.lt is widly used in the Therory of Elasticity,Break mechanics and mang important mathematical and physical problems. we mainly investigate the solution and solvable condition of the singular intergral equation.In this passage,we investigate the solution and solvable condition of the first class of singular intergral equation with Cauchy core along sinple arc or simple arcwise set.In chapter one, we introduce the historic background and the current situation of singular intergral equation and some konwn results about our theorems.In chapter two, we investigate the solution and solvable contion of the first class of singular intergral equation with Cauchy core along sinple arc .while I = (?) is simple arc ,we first disguss the solutionan and an actual example when k(t, t₀) is polynomial about t and t₀-Then we disguss the solution when k(t, t₀) is polynomial about t₀ ,Analysis function about t.In chapter three, we investigate the solution and solvable contion of the first class of singular intergral equation with Cauchy core along simple arcwise set.while I = (?) is simple arcwise set ,k(t,t₀) is polynomial about t,t₀. Then we give an actual example.