Bounds for the spectrum of a matrix differential operator with a damping term

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Abstract

We consider a second-order matrix ordinary regular differential nonselfadjoint operator with a damping term and selfadjoint boundary conditions. An estimate for the resolvent and bounds for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.

Original languageEnglish
Pages (from-to)87-97
Number of pages11
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume62
Issue number1
DOIs
StatePublished - 1 Feb 2011

Keywords

  • Bounds for spectrum
  • Instability
  • Ordinary differential operator
  • Resolvent
  • Stability

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