Delay-dependent stability of linear multistep methods for differential systems with distributed delays

This paper deals with the stability of linear multistep methods for multi-dimensional differential systems with distributed delays. The delay-dependent stability of linear multistep methods with compound quadrature rules is studied. Several new sufficient criteria of delay-dependent stability are ob...

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Veröffentlicht in:	Applied mathematics and mechanics 2018-12, Vol.39 (12), p.1837-1844
Hauptverfasser:	Wang, Yanpei, Cong, Yuhao, Hu, Guangda
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Classical Mechanics Delay Dimensional stability Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Multidimensional methods Partial Differential Equations Stability criteria
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Beschreibung
Zusammenfassung:	This paper deals with the stability of linear multistep methods for multi-dimensional differential systems with distributed delays. The delay-dependent stability of linear multistep methods with compound quadrature rules is studied. Several new sufficient criteria of delay-dependent stability are obtained by means of the argument principle. An algorithm is provided to check delay-dependent stability. An example that illustrates the effectiveness of the derived theoretical results is given.
ISSN:	0253-4827 1573-2754
DOI:	10.1007/s10483-018-2392-9