대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권3호
  • /
  • Pages.603-611
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  • 2016
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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EXPONENTIAL STABILITY OF INFINITE DIMENSIONAL LINEAR SYSTEMS

  • 투고 : 2015.11.16
  • 발행 : 2016.07.31
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초록

In this paper, we show that if $\mathcal{A}$ is a differential subalgebra of Banach algebras $\mathcal{B}({\ell}^r)$, $1{\leq}r{\leq}{\infty}$, then solutions of the infinite dimensional linear system associated with a matrix in $\mathcal{A}$ have its p-exponential stability being equivalent to each other for different $1{\leq}p{\leq}{\infty}$.

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참고문헌

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