Stability analysis of linear multistep methods for delay differential equations

V. L. Bakke and Z. Jackiewicz

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-12

Abstract:

Stability properties of linear multistep methods for delay differential equations with respect to the test equation y ′ ( t ) = a y ( λ t ) + b y ( t ) ,       t ≥ 0 , 0 < λ < 1 , are investigated. It is known that the solution of this equation is bounded if and only if | a | < − b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:768965

DOI: 10.1155/S0161171286000583

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