Sentence examples for as critical point from inspiring English sources

This method is different to some traditional methods (such as critical point theory, fixed point method, and topological degree method) which are applied to study periodic solution problem of neutral differential equations.

The oxidation of cardiolipin releases cytochrome c into the cytosol initiating apoptosis; this has been described as critical point in apoptotic signalling beyond which the cell is terminally committed to die (Jiang et al. [2008]).

In these last years, the existence and multiplicity of solutions for nonlinear discrete problems subject to various boundary value conditions have been widely studied by using different abstract methods such as critical point theory, fixed point theorems, lower and upper solutions method, and Brower degree (see, e.g., [1 17] and the references therein).

In the last decade, by using various techniques such as critical point theory, fixed point theory, topological degree theory and coincidence degree theory, a great deal of works have been done on the existence of solutions to boundary value problems of difference equations (see [1 7] and references therein).

The distribution of 63190 pairs of unlinked markers (368 SNPs) was employed to compute the r, and the 95th percentile was used as critical point to consider true the linkage between syntenic marker loci.

Main parameters such as critical points, Omega a, Omega b and acentric factor of plus fraction and synthetic groups are selected as regression parameters.

Variational methods for difference equations consist in seeking solutions as critical points for a suitable associated energy functional defined on a convenient Banach space.

problem (P) also enjoys a variational nature and its solutions can also be constructed as critical points of the associated Euler-Lagrange functional.

While the only available data of these plus fractions are molecular weight and normal boiling point, it is necessary to estimate other properties such as critical points and EOS parameters of these heavy ends.

(1.6) Solutions of equation (1.5) are then obtained as critical points of the functional (1.6), assuming them to be radially symmetric and belonging to the space where int _{mathbb{R}^{N}} biglvert (-Delta)^{-frac{1}{2}} ubigrvert ^{2}< infty.

We will seek solutions of (1.1) as critical points of the functional I associated with (1.1) and given by I ( u ) : = 1 2 ∫ − ∞ + ∞ ( | u ′ | 2 + ( A ( t ) u, u ) ) d t − ∫ − ∞ + ∞ H ( t, u ) d t.