METHODS FOR SOLUTION OF INTEGRAL FREDHOLM EQUATIONS IN SPACES OF GENERALIZED FUNCTIONS

The aim is to develop the methods for solution of the third and first genus integral Fredholm equations in the spaces of the generalized functions. The special theory of approach in the basic spaces has been constructed, and the new effective methods for approximate solution of the investigated equations in the classes of the generalized functions have been proposed and substantiated. The optimization problem on the accuracy order of the different classes for direct and projective methods solving the studied equations has been solved. The investigation methods and results can be used at further development of the theory of integral equations and can find application at solution of the applied problems laid to such equations.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio