Some Oscillation Results for Even-Order Differential Equations with Neutral Term

The objective of this work is to study some new oscillation criteria for even-order differential equation with neutral term rxzn−1xγ′+qxyγζx=0. By using the Riccati substitution and comparison technique, several new oscillation criteria are obtained for the studied equation. Our results generalize and improve some known results in the literature. We offer some examples to illustrate the feasibility of our conditions.

New Oscillation Results of Even-Order Emden–Fowler Neutral Differential Equations

The objective of this study is to establish new sufficient criteria for oscillation of solutions of even-order delay Emden-Fowler differential equations with neutral term rıyı+mıygın−1γ′+∑i=1jqiıyγμiı=0. We use Riccati transformation and the comparison with first-order differential inequalities to obtain theses criteria. Moreover, the presented oscillation conditions essentially simplify and extend known criteria in the literature. To show the importance of our results, we provide some examples. Symmetry plays an essential role in determining the correct methods for solutions to differential equations.

Reflections on linguistic pluricentricity

This article argues that the notion of pluricentricity fails to capture the multitude of sociolinguistic contexts in which a language may have two or more standards, which is due to the fact that it was invented with a particular context in mind (that of emerging nation-states). The notion also suffers from a reliance on an undefined and unclear (perhaps metaphorical) notion of a centre (and a periphery). A more neutral term such as multi-standard language therefore appears more useful. It is also argued that pluriareality is not a notion that can fruitfully replace pluricentricity, as the two presuppose different approaches to standardisation: one usage-based, the other normative. This is demonstrated with reference to the on-going discussion of the Austrian variety of German.

On the Oscillation of Solutions of Differential Equations with Neutral Term

In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method. The presented results essentially extend and simplify known conditions in the literature. To prove the validity of our results, we give some examples.

Une si tendre critique: L’Afrique des écrivains migrants d’origine congolaise en Belgique francophone

The article is dedicated to the portrayal of Africa in the writings of the French-speaking Belgian writers of Congolese origins. We analyse subjective representations of Africa, both critical and idealized ones, from which emerges a vision of the continent brimming with contradictions. On the one hand, it is an alluring, vast and fertile land with abundant flora and fauna, as well as clime and landscape dearly missed by migrant writers – the land embodying the concept of “paradise lost” or the notion of a nursing mother identified in the migrant writers’ texts with the idea of homeland. On the other hand, although abundant in natural resources, Africa appears to be the continent of extreme poverty, hunger, violence, racism, persecution and ethnic cleansing – the territory still exploited by global powers on which colonialism unveiled its new face defined by a seemingly neutral term – globalization. This dichotomous representation – a far cry from the simplified, impoverished visions of Africa offered by the European media – is conditioned by the specific existential situation of the migrant writers: remaining physically away from Africa, but still having a deep emotional, mental and cultural connection with their land, they are capable of perceiving it in a different light – thus, from a perspective which sharpens critical thinking and with tenderness resulting from the longing for their homeland. Hence, the circumstances of the migrant writers allow them to take an idiosyncratic, ambivalent and intellectually-affective stance – a specific critical tenderness, or: tender critique – through the prism of which the writers depict African realities and change the perception of these realities in the consciousness of the European readers.

Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term

The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential equations. Comparing our results with those in the literature, our criteria solve more general delay differential equations with neutral type, and our results expand the range of neutral term coefficient. Some examples are given to illustrate our conclusions.

On the Qualitative Behavior of Third-Order Differential Equations with a Neutral Term

In this paper, we analyze the asymptotic behavior of solutions to a class of third-order neutral differential equations. Using different methods, we obtain some new results concerning the oscillation of this type of equation. Our new results complement related contributions to the subject. The symmetry plays a important and fundamental role in the study of oscillation of solutions to these equations. An example is presented in order to clarify the main results.

"Macho": The singularity of a mock Spanish item

This paper scrutinizes the path of the semantic extension of the originally neutral Spanish term macho‘male animal’ to the pejorative ‘animal-like man’. Semantic pejoration belongs to one of the techniques that Hill (1995b) identifies when describing Mock Spanish, a type of racist discourse used by monolingual English speakers when using single Spanish words. My objective was to identify if the origin of this pejoration and its subsequent proliferation had some relation to Mock Spanish. Methodologically, this is conducted by means of a lexical research of diachronic corpora in Spanish and English. I trace the origin of macho as an exclusively Spanish and neutral term to an international word with a pejorative connotation. My analysis leads me to conclude that the semantic shift of macho, at least in its written form, developed in both sides of the Mexican-American border in the first half of the XX century. Macho as an ‘animal-like man’ acquires a negative meaning northwards and a positive southwards. The latter during the Nationalist uproars of the Mexican Revolution.