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 language | English |
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Pages (from-to) | 87-97 |
Number of pages | 11 |
Journal | Zeitschrift fur Angewandte Mathematik und Physik |
Volume | 62 |
Issue number | 1 |
DOIs | |
State | Published - 1 Feb 2011 |
Keywords
- Bounds for spectrum
- Instability
- Ordinary differential operator
- Resolvent
- Stability
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics