Sep 07,1973 البحث العلمي والدراسات العليا

On the Stability of the Solutions of Second Order Differential Equations with Periodic Coefficients

Author

Fozi M. Dannan

Published in

Ukrainian Mathematical Journal, Volume 25, Issue 3, pp 285–291, May 1973

Abstract

In this paper we consider the problem of the stability of the solutions of the scalar equation

ẍ + q(t)x =a(t)x + b(t) ẋ + f(x, ẋ,t),

where q(t), a(t) and b(t) are continuous ω-periodic funet-ions and, in addition, the function q(t) is positive and twice differentiable; f(x, ẋ, t) is a nonlinear term.

Keywords: Differential Equation, Order Differential, Equation Periodic Coefficient.

Link to read full paper

https://doi.org/10.1007/BF01091879