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

Stability analysis of multilag and modified multilag methodsfor Volterra integrodifferential equations is presented, withrespect to the nonconvolution test equation where , , µ, and are real parameters. The applicationof these methods to this test equation leads to difference equationswith variable coefficients which are of Poincar type. Usingthe extension of the Perron theorem, the conditions under whichthe solutions to such equations are bounded are derived. Asa consequence, a complete characterization of stability regionsof multilag and modified multilag methods with respect to theabove nonconvolution test equation is obtained.