Sentence examples for differential satisfying from inspiring English sources

Let be a real Banach space, and let be continuously differential, satisfying the P-S condition.

In this section, we establish the Hölder continuity for differential forms satisfying A-harmonic equation (1.1) by isoperimetric inequality for differential forms from [8] and Morrey's Lemma for differential forms in [9].

Since harmonic functions that are continuous to the boundary satisfy the maximum principle [17], we obtain the uniqueness by the standard argument for linear differential equations satisfying the maximum principle.

The classic Lp -based estimates for solutions of elliptic partial differential equations satisfying general boundary conditions were obtained by Agmon, Douglis, and Nirenberg in 1959.

In this article he introduced the differential dx satisfying the rules d(x + y) = dx + dy and d xy) = xdy + ydx and illustrated his calculus with a few examples.

In this article he introduced the differential dx satisfying the rules d(x + y) = dx + dy and d xy) = xdy + ydx and illustrated his calculus with a few examples.

Inherently human gait is a complex non-linear dynamic system, which is usually modeled by a set of differential equations satisfying a given set of constraints.

We prove that such decompositions exist when v is dual to a bilinear form φ→∫|Bφ|2 where B is a vector valued partial differential operator satisfying some regularity conditions.

Let be a smooth differential form satisfying the nonhomogeneous -harmonic equation in, and.

Let be a differential form satisfying the nonhomogeneous -harmonic equation (1.2) in a bounded domain,,, and,.

Let be a smooth differential form satisfying (1.10) in a domain,, and.