Sentence examples for by an appropriate function from inspiring English sources

Each equation is multiplied by an appropriate function and then integrated from (t_{0}) to (t_{f}).

In the present article, we show the existence of a coupled fixed point for an order preserving mapping in a preordered left K -complete quasi-pseudometric space using a preorder induced by an appropriate function.

Moreover, using recent ideas in the literature [13, 23, 24, 31], it is possible to extend our result to non-Archimedean fuzzy metric spaces and probabilistic metric spaces endowed with a partial ordering induced by an appropriate function.

In our work, we show the existence of a coupled fixed point for an isotone mapping in a preordered left K -complete quasi-pseudometric space using a preorder induced by an appropriate function ϕ.

Then, using an idea in [14], we will provide a common fixed point theorem for weakly increasing single-valued mappings in a complete fuzzy metric space endowed with a partial order induced by an appropriate function.

We first present constructions which induce topologies on subsets of a fixed domain or hold-all D in RN by using set parameterized functions in an appropriate function space.

In this section, we shall investigate the FTS of the linear non-autonomous system by constructing an appropriated function and using the Metzler matrix method.

By constructing an appropriated function, some sufficient conditions are derived to guarantee the FTS of the addressed linear non-autonomous systems.

By constructing an appropriated function, we derive some explicit conditions in terms of matrix inequalities ensuring that the state trajectories of the system do not exceed a certain threshold over a pre-specified finite time interval.

The indicator y it could be linked to the covariates x it by an appropriate link function for binary response model such as probit, logit or complementary log-log function and a predictor η it (x it ) as a function of (discrete) time t and the covariates.

In the absence of reliable data, the values of input parameters are varied between upper and lower bounds with the PDF defined by an appropriate distribution function.