On modification of the best parameter of solution continuation

In this paper the concept of a local equivalent to the best solution continuation parameter is introduced. A number of particular assertions related to the parameterized problem conditionality is given. As the best parameter is denote a parameter, that at each point tangential to the integral curve of the problem. Application of the best and local equivalent argument transform to the uniaxial tension problem of cylindrical steel 45 specimens at a constant temperature under creep conditions is shown. A comparison of the results is considered.