RELATIONS BETWEEN TWO SETS OF FUNCTIONS DEFINED BY THE TWO INTERRELATED ONE-SIDE LIPSCHITZ CONDITIONS

In the theoretical study of numerical solution of stiff ODEs, it usually assumesthat the righthand function f(y) satisfy one-side Lipschitz conditionor another related one-side Lipschitz conditionthis paper demonstrates that the difference of the two sets of all functions satisfyingthe above'two conditions respectively is at most that v'-v" only is constantindependent of stiffness of function f.