Sentence examples for we firstly establish from inspiring English sources

We firstly establish the following lemmas.

We firstly establish the following compact embedding lemma.

In Section 2, we firstly establish a relation between ϱ ( G σ ) and ρ ( G ).

For convenience, we firstly establish an equivalent form of the original system by applying a suitable variable substitution.

We firstly establish the local solvability for a large class of semilinear parabolic equations with various nonlocal reaction terms.

We firstly establish a property of the measure of noncompactness in the space of piecewise continuous functions.

Therefore, we firstly establish a longitudinal dynamic for AHV-VGI, which includes the uncertain changes induced by VGI.

In this section we firstly establish the existence of semi-trivial steady-statesolutions of (1.2) by [22], whose proof is omitted.

In this paper, we firstly establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings and cone-γ-paraconvex set-valued mappings.

In this paper, we firstly establish a mathematical model for computing position of HST after analyzing wireless message from the train control system.

In this paper, we firstly establish a relation between ϱ ( G σ ) and ρ ( G ). Also, we give some results on the skew-spectral radii of G σ and its oriented subgraphs.