Sentence examples for is strongly superlinear from inspiring English sources
Therefore, Φ is strongly superlinear.
It is easy to see that is strongly superlinear for and is strongly sublinear for.
It is easy to see that the function is nondecreasing with respect to for if is strongly superlinear.
If Φ : K → K is strongly superlinear and increasing, then Φ has at most one positive fixed point.
The results can be extended easily to equations of the form x Δ n t + f t, x ξ t = 0, when f : T × ℝ → ℝ is continuous and f is strongly superlinear or f is strongly sublinear, see [4].
where,, and are strongly superlinear or sublinear functions.
If and are strongly superlinear (i.e., ), then a necessary and sufficient condition for (1.1) to oscillate is that (2.26).
and are said to be strongly superlinear if there exist constants and with, such that and are nondecreasing with respect to for each fixed.
The function is said to be strongly superlinear if there exists, such that is a nondecreasing function with respect to for each fixed.
Φ : K → K is said to be strongly superlinear, if for ∀ x > 0 and t ∈ ( 0, 1 ), one has Φ ( t x ) ≪ t Φ x.
We establish some necessary and sufficient conditions for oscillation of the solutions of the following two-dimensional difference system:,, where and are strongly superlinear or sublinear functions.
