Obviously, if (m(t)equiv m), by (7.1), we can easily construct trivial time-periodic solutions of the problem (1.1 - 1.3 1.1 - 1.3
Obtaining medical care requires non-trivial time input on the part of consumers, particular those over the age of 65.
Numerical results are given to verify these results and to demonstrate how the analysis is useful for problems involving more complex features, including for a non-trivial time dependant nonlinear PDE which evolves narrow and curved reaction fronts.
In this article we present a relevant strategy for a non-trivial time-programmed release of water-soluble macromolecules from biocompatible μ-containers.
An extension of the method is then proposed for the cases where the noise has a non-trivial time-correlation structure and when inertial effects cannot be neglected.
These are non-trivial times.
While the relationship between higher power values and energy cost is trivial, every time a channel switch occurs, the transmitting sensor must coordinate the new channel with the receiver, and exchange control packets to set up the environmental variables.
Gratifyingly, in addition to being operationally trivial, and time and reagent efficient, the isolated yield of the one pot procedure significantly exceeded that of the stepwise process with model compound 4 produced in 85% yield compared with 41% with isolation and purification after each step.
Politico's comprehensive aims can make it goofy and unapologetically trivial at times.
Hall measurement of concentration and mobility of free carriers in multilayer GaN-based device structures is not trivial and time-consuming technological task which needs ohmic contacts attached to each measuring layer and dedicated measuring procedures.
While for T = R this assumption becomes trivial, for discrete time scales (i.e. time scales with a nonzero graininess) it represents a considerable restriction.
