monotone nondecreasing function

[‚män·ə‚tōn ¦nän·di′krēs·iŋ ‚fəŋk·shən]

(mathematics)

A function which never decreases, that is, if x ≤ y then ƒ(x) ≤ ƒ(y). Also known as monotone increasing function; monotonically nondecreasing function.

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References in periodicals archive ?

Moreover, for simplicity it is assumed that [alpha] (t) is a monotone nondecreasing function differentiable with respect to time t.

Closed-Form Optimal Strategies of Continuous-Time Options with Stochastic Differential Equations

Here we assume that the functions [f.sub.ij] and [K.sub.ij] are (or bounded by) continuous monotone nondecreasing functions that are not necessarily Lipschitz continuous and they may be unbounded (like power type functions with powers bigger than one).

Long Time Behavior for a System of Differential Equations with Non-Lipschitzian Nonlinearities