A note on global asymptotic stability of nonautonomous master equations

Christian Lax; Sebastian Walcher

doi:10.3934/dcdsb.2013.18.2143

Article Contents

2013, Volume 18, Issue 8: 2143-2149. Doi: 10.3934/dcdsb.2013.18.2143

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A note on global asymptotic stability of nonautonomous master equations

Christian Lax^1, and
Sebastian Walcher^2,

1.
Lehrstuhl A für Mathematik, RWTH Aachen, D-52056 Aachen
2.
Lehrstuhl A für Mathematik, RWTH Aachen, 52056 Aachen

Received: February 28, 2013

Revised: April 30, 2013

Published: September 2013

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Abstract

We present sufficient conditions to either preclude or guarantee global asymptotic stability of linear differential equations for time-dependent $\mathbb W$-matrices. These conditions are concerned with integrability or non-integrability of the matrix entries. The proofs employ differential inequalities.

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Mathematics Subject Classification: Primary: 34D05, 34D23; Secondary: 37B55.

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References

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