Moreover, the mechanisms of thermal adaptation apparently differ based on evolutionary time scales: shifts in the temperature of maximal growth occur between deeply branching clades but thermal performance curve shape changes on shorter time scales.
First, it typically operates on longer time scales, shifting every 20 to 30 years, rather than six to 18 months with El Niño".
The HAP is useful in practice, since it means that the approximation rate in a reconstruction of f is invariant under time-scale shifts.
We assume that T is a periodic time scale in shift δ ± with period P. The operators δ ± P : T ∗ → T ∗ are commutative with the forward jump operator σ : T → T given by σ ( t ) : = inf { s ∈ T : s > t }.
Still, on a shorter time scale, the shifting light and wind can make him a bit frenetic.
Let T be a periodic time scale in shifts δ ± with period P ∈ [ t 0, ∞ ) T and t 0 ∈ T. We are concerned with the existence, multiplicity and nonexistence of periodic solutions in shifts δ ± for the nonlinear dynamic equation x Δ ( t ) = − a ( t ) x σ ( t ) + λ b ( t ) f ( t, x ( h ( t ) ) ), t ∈ T, (1).
Let T ⊂ R be a periodic time scale in shifts δ ± with period P ∈ [ t 0, ∞ ) T. We consider the existence of positive periodic solutions in shifts δ ± for the nonlinear functional dynamic equation of the form. x Δ ( t ) = − a ( t ) x σ ( t ) + λ b ( t ) f ( t, x ( h ( t ) ) ), t ∈ T. using the cone theory techniques.
In the following, according to Definitions 2.8 and 2.9, one can also introduce the concept of matched spaces for time scales under shift operators attached with the shift directions.
In [15], Adıvar proposed a new concept of periodic time scales under shift operators, and this approach enables one to investigate this periodicity notion on a large class of time scales.
Let T be a time scale with the shift operators δ ± associated with the initial point t 0 ∈ T ∗.
