Beginning from the creator of integro-differential equations Volterra, many scientists have investigated these equations. Classic method for solving integro-differential equations is the quadratures method that is successfully applied up today. Unlike these methods, Makroglou applied hybrid methods that are modified and generalized in this paper and applied to the numerical solution of Volterra...

This article provides a general statement and technique for solving the problem of oscillations hereditarily deformable aircraft in gas flow with finite number degrees freedom. Using Lagrange equations variational principle hereditary theory viscoelasticity, motion under consideration are derived. The generalized forces acting on subsonic flight mode determined according to stationarity hypothe...

The problems of bending-torsional flutter an aircraft wing are considered. Using equations motion by the Bubnov-Galerkin method, based on polynomial approximation deflections and angle twist, problem is reduced to studying a system ordinary integro-differential equations, where independent variable time. solution with singular kernels found numerical method quadrature formulas. influence physic...

The paper studies the finite-time blow-up theory for a class of nonlinear Volterra integro-differential equations. The conditions for the occurrence of finite-time blow-up for nonlinear Volterra integro-differential equations are provided. Moreover, the finite-time blow-up theory for nonlinear partial Volterra integro-differential equations with general kernels is also established using the blo...