Approximations of singular integral equations on Lyapunov contours in Banach spaces
Existence theorems are proved for singular integral eguations on Lyapunov contours in Banach spaces. An approximate solution of the considered equation is constructed and the convergence to unique solution is proved and the rate of the convergence is given. These singular integral equations are widely used for the solution of a big level of problems of applied mechanics, like thermoelastoplasticy, viscoelasticity, hydrodynamics, fluid mechanics and fracture mechanics.
scientific article; zbMATH DE number 5003740
scientific article