On the periodic solutions of a class of Duffing differential equations
On the periodic solutions of a class of Duffing differential equations
In this work we study the periodic solutions, their stability andbifurcation for the class of Duffing differential equation $x''+ \epsilon C x'+ \epsilon^2 A(t) x +b(t) x^3 = \epsilon^3 \Lambda h(t)$, where $C>0$,$\epsilon>0$ and $\Lambda$ are real parameter, $A(t)$, $b(t)$ and $h(t)$are continuous $T$--periodic functions and $\epsilon$ is sufficientlysmall. Our …