Summary
The stability of the equilibrium solution of a class of coupled partial differential equations with nonstationary random coefficients is studied. Several theorems in regard to mean square stability of the equilibrium state of the system are established. Some examples of the applications of the results to engineering problems are presented and significant improvements on stability region are observed.
Übersicht
Für eine Klasse von gekoppelten partiellen Differentialgleichungen mit nichtstationären Zufallskoeffizienten wird die Stabilität der Gleichgewichtslage untersucht. Dabei werden mehrere Sätze über die Quadratmittel-Stabilität der Gleichgewichtslage aufgestellt. Die Ergebnisse werden auf Beispiele aus dem Ingenieurbereich angewandt und ergeben bedeutende Vergrößerungen der Stabilitätsgebiete.
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The author wold like to thank Miss M. Shaterpouri for her aid in preparation of this work.
This study is supported in part by the Ministry of Science and Higher Education of Iran and the Atomic Energy Organization of Iran.
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Ahmadi, G. On the mean square stability of a class of nonstationary coupled partial differential equations. Ing. arch 48, 213–219 (1979). https://doi.org/10.1007/BF00586064
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DOI: https://doi.org/10.1007/BF00586064