Methods of investigation of boundary value problems in viscoelasticity theory

The present paper is devoted to some classical and modern methods of solving boundary value problems of viscoelasticity theory, including the Volterra principle, Il’yushin’s approximation method, Pobedrya’s method of numerical realization of an elastic solution, the method of Laplace (Laplace-Carson) transform and Z-transform, the method of time steps, the usage of viscoelastic models with fractional time derivatives (fractal models), and methods using a new representation of constitutive relations of nonlinear viscoelasticity To Boris Efimovich Pobedria on the occasion of his 70th birthday