Sentence examples for by implicit differential equations from inspiring English sources

The dynamical models under consideration are described by implicit differential equations in the presence of additive bounded uncertainties.

Finally, it is also illustrated how the combination of IHB and FDM can be a powerful tool for the analysis of non-linear vibration problems defined by implicit differential equations (including also explicit ones), since bifurcation diagrams of stable and unstable periodic solutions can be computed easily with IHB, while periodic and non-periodic stable oscillations may be obtained with FDM.

On the other hand, there are many other works on implicit differential equations [13 18] dealing with more general implicit differential systems by using analytical and topological methods.

Quasilinear implicit differential equations, such as (4), find applications in a large number of physical sciences and have been studied by several authors [4 12].

Even though many systems in engineering are best modeled as implicit differential equations (IDEs) and differential algebraic equations (DAEs), methods for the construction of enclosures for these are not as well developed as they are for ordinary differential equations (ODEs).

We apply dynamical system methods and Melnikov theory to study small amplitude perturbation of some coupled implicit differential equations.

By choosing this composite variable so that the implicit differential equation is stable, high order control problems can be reduced to first-order problems, amenable to qualitative feedback strategies, typically organized in intermittent manner.

The model uses implicit algebraic differential equations compatible with transient analysis in SPICE.

Furthermore, some (implicit) impulsive differential equations under various initial and boundary conditions has also been studied by several authors; see, for example, [11, 13, 22, 24, 28] and the references therein.

Equation 19 is an implicit ordinary differential equation, which cannot be solved analytically, and thus numerical solutions to this equation will be sought.

Its rotatory dynamics are described by linear differential equations.