title: [Increase functions of the type dw/dt = kwm(te--t)q and their integrals (author's transl)].
abstract: In consequent continuation of the investigations into the increase functions dW/dt = kWm(En--Wn), dW/dt = kWm(E--W)n and dW/dt = ktp (E--W)n the type dW/dt = kWm(tE--t)q with q greater than 0 is added. As in the last paper, 2 cases of integration have to be distinguished, namely for m = 1 and 0 less than m less than 1 respectively. In both cases adultness W = E is reached after  a finite time tE. A quite different aspect results for the turning point of the growth function with the ordinate covering values between E/e and E for m = 1 and from 0 up to a maximum and down to E/e when 0 less than m less than 1. As in former papers graphs give an illustration of the variability of the growth curves and the increase functions. The already used example is taken up and shows a fargoing neighbourhood of the growth functions resulting from dW/dt = kWm (tE--t)q and dW/dt = ktp (E--W)n, thus hinting that quite different increase equations can lead to similar results.
mesh_terms: D000818:Animals; D006128:Growth; D006801:Humans; D008433:Mathematics; D013997:Time Factors
vernacular_title: Zuwachsfunktionen vom Typ dW/dt = kWm(tE--t)q und ihre Integrale.