The analysis of the structures springing systems modern vehicles showed that polymer composites are used in for which decrease curb weight is a critical indicator. use springs (suspensions) from makes it possible to reduce elastic element and increase durability while improving smoothness movement, reducing noise, increasing traffic safety. When replacing steel suspension with composite suspens...

The ”freezing” method for ordinary differential equations is extended to the Volterra integral equations in a Banach space of the type x(t)− ∫ t 0 K(t, t− s)x(s)ds = f(t) (t ≥ 0), where K(t, s) is an operator valued function ”slowly” varying in the first argument. Besides, sharp explicit stability conditions are derived. Subject Classification: 45M10, 45N05

For certain dual integral equations involving trigonometric functions and the Bessel function of zeroth order as their kernels solution methods are described. These methods exploit the fact that, under certain circumstances of practical importance, one of the integrals of each set of the dual integral equations under consideration possesses a asquare-rooto singularity at the aturning pointo, i....