Yuzhakova G. New types of the systems of N-ary integral equations

Systems of N-ary integral equations. To construct solutions and to investigate conditions of its existing for new types of systems of N-ary integral equations. Investigation methods are: special functions, integral transform theory, fractional integration operators theory, integral equations theory, elements of matrix theory. Solutions of a wide class of one- and two-dimensional systems of double and triple integral equations with the complex kernels are obtained and investigated.Examples of investigated systems applying are considered. Results in theory of systems of N-ary integral equations are obtained. It is possible to construct mixed boundary value problems solutions. Area of applying: mathematical physics, difraction theory, heatconduction theory, mechanics and others.