Stability analysis of multilag and modified multilag methods for volterra integrodifferential equations

V. L. Bakke, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

Abstract

Stability analysis of multilag and modified multilag methods for Volterra integrodifferential equations is presented, with respect to the nonconvolution test equation. y'(t)=γy(t)+∫01(λ+μt+νs)y(s)ds(t≥0)where γ, λ, μ, and ν are real parameters. The application of these methods to this test equation leads to difference equations with variable coefficients which are of Poincaré type. Using the extension of the Perron theorem, the conditions under which the solutions to such equations are bounded are derived. As a consequence, a complete characterization of stability regions of multilag and modified multilag methods with respect to the above nonconvolution test equation is obtained.

Original languageEnglish (US)
Pages (from-to)243-257
Number of pages15
JournalIMA Journal of Numerical Analysis
Volume12
Issue number2
DOIs
StatePublished - Apr 1992

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integrodifferential equations
Volterra Integro-differential Equations
Integrodifferential equations
Stability Analysis
Difference equations
difference equations
Stability Region
Variable Coefficients
Difference equation
theorems
coefficients
Theorem

ASJC Scopus subject areas

  • Molecular Biology
  • Statistics and Probability
  • Computational Mathematics
  • Condensed Matter Physics
  • Applied Mathematics
  • Mathematics(all)

Cite this

Stability analysis of multilag and modified multilag methods for volterra integrodifferential equations. / Bakke, V. L.; Jackiewicz, Zdzislaw.

In: IMA Journal of Numerical Analysis, Vol. 12, No. 2, 04.1992, p. 243-257.

Research output: Contribution to journalArticle

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