TY - JOUR
T1 - Stability analysis of multilag and modified multilag methods for volterra integrodifferential equations
AU - Bakke, V. L.
AU - Jackiewicz, Zdzislaw
PY - 1992/4
Y1 - 1992/4
N2 - 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.
AB - 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.
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U2 - 10.1093/imanum/12.2.243
DO - 10.1093/imanum/12.2.243
M3 - Article
AN - SCOPUS:77957209548
SN - 0272-4979
VL - 12
SP - 243
EP - 257
JO - IMA Journal of Numerical Analysis
JF - IMA Journal of Numerical Analysis
IS - 2
ER -