Sentence examples for obtained some useful from inspiring English sources
They obtained some useful oscillation results.
Under the definition in [20], they also considered an initial value problem of fractional order and obtained some useful fractional difference inequalities of Gronwall-Bellman type [25].
We applied the method to several cases of known animal model expression profiles and obtained some useful information to help drug research.
Based on these, we obtain some useful results.
We obtain some useful reproducing kernel functions in this section.
By employing the new comparison principle and Lyapunov stability theory, we obtain some useful stability criteria.
Moreover, we obtain some useful corollaries in the setting of partial metric spaces.
From the discussion put forward herein, it seems to me that we may obtain some useful information.
Some preliminary results including Green's function are given in Section 2. In Section 3, we obtain some useful lemmas for the proof of the main result.
Also, we get some combinatoric identities like as harmonic and hyperharmonic numbers and we obtain some useful formulas for (mathbb{F}_{n}), which is concerned with finite sums of reciprocals of Fibonacci numbers.
The numerical approach presented in this paper provides a new way to deal with the coupling dynamic system and the conclusions obtained give some useful advices on the overall design of the Tethered Satellite System.
