APPLIED HYBRID METHODS TO SOLVING INITIAL-VALUE PROBLEM TO INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE

During consideration of the chronology of scientific works we may note that scientists have studied integro-differential equations as more comprehensive than differential and integral equations. That is why differential equations are more often at the basis of studies, then integral and integro-differential equations. As the result, the majority of specialists substitute the solving of integral and integro-differential equations by solving differential equations. To widen this subject authors have presented the general hybrid method for solution of integro-differential equations and determination of their equality with to the above-mentioned equations. The certain stable hybrid method considered in the article allows to use the point of linkage in the lower limit with split-hair accuracy. From the other side at k=1 (with the use of the linkage point) one-step method is used, when p=6.