Sentence examples for order equations of from inspiring English sources

Hamilton's principle is employed to derive the corresponding higher order equations of motion for both nanotubes.

The higher order equations of type (1) have been studied in [11 13].

The first order equation of Lagergren is generally expressed as follows (Lagergren 1898): frac{{{text{d}}q}}{{{text{d}}t}} = k_{1} (q_{text{e}} - q_{text{t}} ) (7 where k 1 is the rate constant of pseudo-first-order sorption (min−1).

This methodology uses the low-order equations of the Second-Moment (SM) method for the first two angular moments of the transport solution.

We consider the system of fractional-order equations of the form (1.1).

To this end a random generator for second-order equations of the type considered in this article is applied.

We investigate the existence of multiple solutions for perturbed nonlocal fourth-order equations of Kirchhoff type under Navier boundary conditions.

I will discuss related aspects of field theories with higher-derivative Lagrangians but second-order equations of motion, with a focus on the Lovelock and Horndeski classes that have found use in modifications to general relativity.

Here we have investigated the existence of multiple solutions for perturbed nonlocal fourth-order equations of Kirchhoff type under Navier boundary conditions.

where Z ( t ) ∈ R m for t ∈ R. The linear vector differential equation (3) can be written as an equivalent system of first-order equations of dimension mn.

We have given some new criteria for guaranteeing that the perturbed fourth-order equations of Kirchhoff type possess at least three weak solutions by using a variational method and some critical point theorems due to Ricceri.