Existence of Periodic Solutions for the Duffing Equation with Impulses

الملخص EN

We study the existence of solutions to the Duffing equation withimpulses.

By means of the Poincaré-Birkhoff fixed point theorem under given conditions, weobtain the sufficient condition of existence of infinitely many solutions.

Our results generalizethose of T.

R.

Ding.

An example is presented to demonstrate applications of our main result.