Sentence examples for behaviour of solutions of from inspiring English sources

In this paper, we employ modern tools of stability theory to analyse the behaviour of solutions of Stuart-Landau forced and unforced oscillators.

This process of phase separation has not been previously considered in the context of the rheology of HPMC thermogelation and may have implications for the behaviour of solutions of this material in a practical environment.

One of the main motivations to study the behaviour of solutions of these complex systems lies in their role in modelling of collective behaviour, such as synchrony, which appears naturally in some biological systems but also in technological creations such as power grids.

We state [2, Theorem ] which concerns on the asymptotic behaviour of solutions of (4.7).

This article analyses the asymptotic behaviour of solutions of linear Volterra difference equations.

In addition to these, there exist many papers that investigate the behaviour of solutions of impulsive differential equations [4, 5, 6, 7, 8].

In the study of hyperbolic partial differential equations, Lax showed that there are many types of equations that do admit exact solutions, and, with American mathematician James Glimm, he made a profound analysis of the behaviour of solutions to these equations over long periods of time.

Specifically, we shall prove two theorems about the possibility of describing the fine behaviour of solutions to nonlinear measure data problems and of their gradient via potentials.

The phase behaviour and the structure formation of solutions of poly(2,6-dimethyl-1,4-phenylene ether) (PPE) in cyclohexanol and decalin have been studied.

This paper is concerned with the study of asymptotic spatial behaviour of solutions in a mixture consisting of two thermoelastic solids.

We study the boundary behaviour of solutions u of −ΔNu+|u|q−1u="0 in a bounded smooth domain Ω⊂RN subject to the boundary condition u="0 except at one point, in the range q>N−1.