Sentence examples for homogeneous term from inspiring English sources

Each homogeneous term of a finite degree in the series is proved to be well-defined in appropriate Sobolev spaces and is estimated recursively by using a family of homogeneous gauges which is suitable for estimating homogeneous polynomials in infinite dimensional spaces.

Different from the semi-global observers, the new observers are designed with two, instead of one, homogeneous terms.

And we also assume that the non-homogeneous term g satisfies.

In addition, if the differential operator (A t)) and the non-homogeneous term (f(t)) are T-periodic, we can obtain periodic solutions of (2.4).

After the unknown non-homogeneous term being eliminated, the polynomial expansion method is introduced to discretize the time and space fields, respectively.

Then we construct an actual solution to the corresponding problem with the analytic continuation of this κ-sum as non-homogeneous term, within the Banach spaces defined in Section 2.

(3.22) where the non-homogeneous term (f x,t)) satisfies f x,t)=frac{t^{1-alpha}sinpi x}{Gamma 2-alpha)}-pi t biGamma 2-alphaa}{x}cospi x-pisinpi x biggr).

This paper is concerned with the Klein-Gordon equation coupled with the Maxwell equation in the rotationally symmetric bounded domains when a non-homogeneous term breaks the symmetry of the associated functional.

The interfacial forces appear in the pin's equation of motion as multiplicative and non-homogeneous terms.

The objective of the present research is to give an explicit solution to the LQ problem of stochastic switching systems of which drift and diffusion coefficients comprise non-homogeneous terms.

The long-term secular trend was adjusted by including a homogeneous linear term all along the day series.