Floquest representations and asymtotoc behavior of solutions to periodic linear difference equations

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概要

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• We give new representations of solutions for the periodic linear difference equation of the type $x(n+1)=B(n)x(n)+b(n)$, where complex nonsingular matrices $B(n)$ and vectors $b(n)$ are +$\rho$-periodic. These are based on the Floquet multipliers and the Floquet exponents, respectively. By using these representations, asymptotic behavior of solutions is characterized by initial values. In particular, we can characterize necessary and sufficient conditions that the equation has a bounded solution (or a $\rho$-periodic solution), and the Massera type theorem by initial values.

• 広島大学の論文

著者

• Pham Huu

  Depatment Of Mathematics The University Of Electro-communications Chofu Tokyo 182-8585 Japan

• Naito Toshiki

  Depatment Of Mathematics The University Of Electro-communications Chofu Tokyo 182-8585 Japan

• Jong Son

  Depatment Of Mathematics The University Of Electro-communications Chofu Tokyo 182-8585 Japan

関連論文

• Floquest representations and asymtotoc behavior of solutions to periodic linear difference equations

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