Sentence examples for advanced equations from inspiring English sources

Moreover, in the cited articles the authors in generally consider either delay or advanced equations, but our technique permits to study both advanced and delayed cases.

Many advanced equations of state have been developed in the last decades which fulfill important needs of the industry.

We study the delayed and advanced equations subject to various conditions.

A study of advanced equations (see, for example, (1.7), where τ ( t ) ≤ 0 ) can be found in the paper [14] in which results on boundedness, stability, and asymptotic representations of solutions are obtained.

The turbulence closure problem at the current stage still requires experimental data for the development of advanced equations for defining the relations between the fluctuating and the mean velocity fields.

Some analogies or discrepancies on the growth of the nonoscillatory solutions for the delayed and advanced equations are presented; and the coexistence with different types of nonoscillatory solutions is studied.

We study oscillatory behavior of a class of second-order differential equations with damping under the assumptions that allow applications to retarded and advanced differential equations.

Consider Malia Jackson, who majored in astronomy at Cornell University, took advanced differential equations and linear algebra and earned a perfect score on the mathematics portion of the Graduate Record Examinations.

The strain-rate sensitivity modeling is not restricted to a particular hardening law and thus provides a general framework in which advanced hardening equations can be adopted.

In this paper, we consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time scales.

Similar ideas as those presented here have been successively employed in investigating oscillatory behavior of second-order advanced differential equations, see a recent work [27] for details.