Cecchi , M. , Marini , M. , Villari , G. 1989 On the monotonicity property for a certain class of second order differential equations J. Differential Equations 82 15 – 27 10.1016/0022-0396(89)90165-4 .
Authors:Fiorenzo Franceschini, Maurizio Galetto, Domenico Maisano, and Luca Mastrogiacomo
Non (strict) monotony
The increase/decrease in number of citations of a paper is not necessarily associated to a corresponding increase/decrease of h (aggregated indicator), which is weakly monotonic. Regarding the success -index
, 7 ( 2 ): 141 – 150 , 1981 .  A . Šne˘ıder . On series of Walsh functions with monotonic coefficients . Izvestiya Akad. Nauk SSSR. Ser. Mat . 12 : 179 – 192 , 1948 . (In Russian.)  G . Tephnadze . On the maximal operators of Kaczmarz
towards biology or physics or another natural science, one would expect the monograph/papers style fraction to change over time. Although it may appear in Fig. 4 that this style fraction has a monotonic trend, the hypothesis that the slope is non-zero is
inter-disciplinary differences in the influence function.
A second assumption about the influence function is monotonicity , meaning that the function is strictly increasing, in that the higher citation count for a publication the greater its
Stochastic evolution equations with monotone operators in Banach spaces are considered. The solutions are characterized as minimizers of certain convex functionals. The method of monotonicity is interpreted as a method of constructing minimizers to these functionals, and in this way solutions are constructed via Euler-Galerkin approximations.
Summary Utilizing the good properties of the sequences of rest bounded variation, the usual monotonicity hypothesis on the coefficients of Fourier cosine series given in previous theorems will be weakened in the sense that the sequence of coefficients is of rest bounded variation. The theorems in question reformulate the conditions in some theorems on embedding relations of Besov classes.