Sentence examples for to study equation from inspiring English sources

Thus, it is important to study equation (1.1) with more general kernel functions.

In this work, we would like to study equation (1.1) under assumptions (i)–(v).

To study equation (1.1), since f is Lipschitz, without loss the generality, we may assume that (fin C^{1}).

Cima et al. [6] applied an approach different to the ones in Refs. [5, 7] to study equation (1).

Remark 3.4 It would be of interest to study equation (1.1) in the case where ∫ t 0 ∞ ∫ u ∞ R ( s ) d s d u < ∞. for future research.

We have conducted highP T synchrotron X-ray and time-of-flight neutron diffraction experiments as well as indentation measurements to study equation of state, constitutive properties, and hardness on nanocrystalline and bulk nickel.

Many methods have been used to study equations (1.1 - 1.3 1.1 - 1.3–17]).

In Section 3, we study the existence and stability of solitary waves of equation (1.1) with some special nonlinearities f ( u ) = 1 p u p. Section 4 is devoted to studying equation (1.1) with general nonlinearities f ( u ) satisfying the assumption (A).

Therefore, it is worthy to study the equation.

But in order to provide more useful ways to study the equation we will continue to perform this work in the future.

He was one of the first to study differential equations involving complex variables, and his work led to a profound connection with group theory.