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Your search keyword '"*DELAY differential equations"' showing total 2 results
Start Over Descriptor "*DELAY differential equations" Topic functional differential equations Topic stability Publisher taylor & francis ltd
2 results on '"*DELAY differential equations"'

1. Stability of θ-methods for linear delay-integro-differential systems.

Author

Xu, Y. and Zhao, J.J.

Subjects
*INTEGRO-differential equations, *NUMERICAL solutions to delay differential equations, *INITIAL value problems, *BESSEL functions, *FUNCTIONAL differential equations, *COMPUTATIONAL mathematics, *MATHEMATICAL analysis
Abstract

This article is concerned with the stability of θ-methods for linear delay-integro-differential systems. The linear θ-methods for the modified linear delay-integro-differential systems are established. It is shown that the linear θ-methods are GP-stable if θ∈[1/2, 1]. Finally, some numerical experiments are given to demonstrate the conclusions. [ABSTRACT FROM AUTHOR]

Published
2010
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2. Asymptotic properties of the spectrum of neutral delay differential equations.

Author

Kyrychko, Y.N., Blyuss, K.B., Hövel, P., and Schöll, E.

Subjects
*DELAY differential equations, *FUNCTIONAL differential equations, *BESSEL functions, *PHYSICS, *DYNAMICS
Abstract

Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of stability is found and compared to an analytically derived exact stability boundary. The approximate and exact stability borders agree quite well for the large time delay, and the inclusion of a time-delayed velocity feedback improves this agreement for small delays. Theoretical results are complemented by a numerically computed spectrum of the corresponding characteristic equations. [ABSTRACT FROM AUTHOR]

Published
2009
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