Integro-differential Equations and Hereditary Systems: From Functional and Analytical Methods to Wavelets, Neural Networks, and Fuzzy Kernels

Abstract

This review is oriented to the works of authors who have substantially contributed to the research area of integro-differential equations and hereditary systems both from the fundamental theoretical viewpoint and in the sense of the constructing of analytic tools and computational procedures. Works reflecting functional results in the specified area and describing analytic research methods and numerical algorithms are presented. Modern trends in the area of integro-differential equations related to wavelets, neural networks, and the theory of fuzzy sets are considered.