Sentence examples for derived and studied from inspiring English sources

This problem, for the Caputo fractional derivative, was derived and studied in [17].

Several structural results for special cases of the problem are derived and studied.

The expression for the critical relative interfacial layer thickness is derived and studied.

To understand the complex dynamics of the system, some basic dynamical properties, such as equilibria, stability, the complete mathematical characterizations for Hopf bifurcation are rigorously derived and studied.

In this work mathematical models of temporal part of chaos at chosen spatial locations of a plate locally reinforced by ribs taking into account an interplay of their interactions are derived and studied numerically for the most relevant dynamical parameters.

A mathematical model for a polymer electrolyte fuel cell (PEFC) stack with an open-cathode manifold, where a fan provides the oxidant as well as cooling, is derived and studied.

The analysis is based on the energy methods whose main idea involves deriving and studying suitable ordinary differential inequalities.

In the present work we derive and study a non-linear elliptic PDE coming from the problem of estimation of sound speed inside the Earth.

Analytical expressions for nonequilibrium interface energy, width, entropy excess, as well as distribution of the interface tension are derived and parametrically studied.

It is possible that condition affects both ornaments and preferences in the source population from which our study lines were derived, and our study serves as a stepping stone for future studies aimed at addressing this hypothesis.

As in the case of bus networks, here too, necessary and sufficient conditions for the existence of optimal processing time are derived and performance study is carried out.