Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations

Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations

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We consider a class of second-order nonlinear delay differential equations with periodic coefficients in linear terms.We obtain conditions under which the zero solution is asymptotically stable.Estimates for Toilet and Urinal Parts attraction sets and decay rates of solutions at infinity are established.

This Work Boots class of equations includes the equation of vibrations of the inverted pendulum, the suspension point of which performs arbitrary periodic oscillations along the vertical line.