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학술저널

EXISTENCE OF PERIODIC SOLUTIONS TO LIAPUNOV CHARACTERISTIC INDEX EQUATIONS

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In this paper, a numerical programming for Liapunov index of differential equations with periodic coefficients depending on parameters is given. The associated equations are given at first, then existence of periodic solutions to the associated equations is proved in this paper. And we compute periodic solution u(t) of the associated equations. Finally, we give the error of approximate calculation.

1. Introduction

2. The associated equations

3. Existence of periodic solutions to the associated equations

4. Periodic solution u(t) of (3)

5. Approximate calculation of LCI

6. The error of approximate calculation

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