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In this paper, ordinary differential equations initial value problem class K σ , τ ( Shou Buddha , 1987 ) and the corresponding delay Differential Problems class ( BIT) Huang Chengming 2002 further outreach to the general Volterra functional differential equations initial value problem class K σ , τ , β < / sub >: where f : [ 0, T ] × R m < / sup > × the C m < / sub > [-d, T] → R m satisfy the conditions : (θ , p , q ) - algebraic stable Runge-Kutta method and ( k, p, q) - general algebraically stable line the approach used in K σ, τ, β class of problems , the stability of these methods results . These results can be regarded as ordinary differential equations and delay differential equations the promotion and development of the stability of the results of the corresponding numerical methods , can also be regarded as the corresponding results Volterra functional differential equations ( Shou Buddha in 2003 and 2005 ) to further promote . Even for this particular functional differential equations delay differential equations , our results than the existing literature results more extensive and profound .
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