ABOUT ASIMPTOTIC STRUCTURE SYSTEM INTEGRATED EQUATIONS VOLTERA
A number of important problems of the theory of elasticity, the propagation of waves in memory media, the theory of dynamic non-stationary controlled systems with aftereffect lead to Volterra integral equations and to Volterra integro-differential equations with singular points. Among the various problems, undoubtedly relevant for both the theory itself and applications, are the problems of the asymptotic and analytical structure of solutions of integral equations with singular points. This is the problem that is studied in this paper. The asymptotic structure of the soutions of linear integral systems of Volterra eq methods ofr transforming solutions of differential and integral equations, methods of the analytical and asymptotic theory of differential equations and functional analysis.uations with a singular point is constructed. By the region, we mean an open sector in a complex plane with a top at the beginning of coordinates. The solution of this system is a holomorphic in the field and a satisfying matrix function. The asymptotic structure of the solutions of the system of Volterra integral equations by a singularity is found.