Abstract:
We will establish an existence and uniqueness theorem of pseudo almost automorphic mild solutions to the following partial hyperbolic evolution equation (/)[()

Abstract:
We will consider oscillation criteria for the second order difference equation with forced term ( ). We establish sufficient conditions which guarantee that every solution is oscillatory or eventually positive solutions converge to zero. In the last thirty years, there has been an increasing interest in the study of oscillation and asymptotic behavior of solutions of second order difference equations (see [1–11]). In [1], Arul and Thandapani considered the equation and gave some sufficient conditions for the existence of positive solutions. In [3], Saker considered the equation and gave some sufficient conditions which guarantee that every solution is oscillatory. Following this trend, we are concerned with oscillation criteria of solutions for a second order difference equation with forced term where is a positive sequence, is a nonnegative sequence and not identically zero for all large , is a real sequence, is a real number, and , are nonnegative integers, . A solution of (3) is said to be eventually positive if for all large and eventually negative if for all large . Equation (3) is said to be oscillatory if it is neither eventually positive nor eventually negative. In order to obtain our conclusions, we first give two lemmas. Lemma 0.1. If difference inequality is oscillation, then difference equation is oscillation. Otherwise, if (5) has eventually positive solution, then (4) has eventually positive solution; this is contradictory. Lemma 0.2. Suppose that is an eventually positive solution of (3), , and(i) , (ii) , (iii) . Set . Then and Proof. Suppose that is an eventually positive solution of (3), then there exists , such that , , and for , then for . By summing up (3) from to , we obtain From (6), we know that , where α is a positive limited number or . Thus , β is a limited number or . If ( is a constant), then there exist , for , so that which is contrary to . If , then there exist , for ; hence, therefore, ; thus, there exist , , and ( ) for . By summing up (3) from to, we obtain As , the right-hand side of (9) is bounded, but the left-hand side of (9) tends to ; this is contradictory. Then ; thus . This completes the proof. By means of Lemma 0.2, we obtain the following. Theorem 0.3. If conditions (i), (ii), and (iii) hold and is an eventually positive solution of (3), then . Proof. Making use of (6) and the conclusion of Lemma 0.2, we know so . If not, suppose that , then there exist ,？ for . Now substitute for in (6), we obtain a contrary. This completes the proof. Theorem 0.4. If conditions (i), (ii), and (iii) hold, let and if is

Abstract:
We discuss the epidemic network model with infectious force in latent and infected period. We obtain the basic reproduction number and analyze the globally dynamic behaviors of the disease-free equilibrium when the basic reproduction number is less than one. The effects of various immunization schemes are studied. Finally, the final sizes relation is derived for the network epidemic model. The derivation depends on an explicit formula for the basic reproduction number of network of disease transmission models. 1. Introduction Disease spreading has been the subject of intense research since long time ago. With the advent of modern society, fast transportation systems have changed human habits, and some diseases that just a few years ago would have produced local outbreaks are nowadays a global threat for public health systems. A recent example is given by influenza A(H1N1). In order to understand the mechanism of diseases spreading and other similar processes, such as rumors spreading, networks of movie actor collaboration and science collaboration, WWW, and the Internet, it is of great significance to inspect the effect of complex networks features on disease spreading. Therefore, it is of utmost importance to carefully take into account as much details as possible of the structural properties of the network on which the infection dynamics occurs. And in the general case, the epidemic system can be represented as a network where nodes stand for individuals and an edge connecting two nodes denotes the interaction between individuals. The degree of a node is the number of its neighbors, that is, the number of links adjacent to the node. In the past, researchers mainly focused the disease transmission study on the conventional networks [1, 2] such as lattices, regular tree, and ER random graph. Since late 1990s, scientists have presented a series of statistical complex topological characteristics [3–6] such as the small-world (SW) phenomenon [7] and scale-free (SF) property [8] by investigating many real networks. On scale-free networks, it was assumed that the larger the node degree, the greater the infectivity of the node, and the infectivity is just equal to the node degree. Under such an assumption, for instance, Pastor-Satorras et al. concluded that the epidemic threshold for heterogenous networks with sufficiently large size [9]. Subsequently, the studies of dynamical processes on complex networks also have attracted lots of interests with various subjects [10–15], and as one of the typical dynamical processes built on complex networks, epidemic

Abstract:
Media determines the artistic configuration and the developmental rhythm of literature. Web literature, as being developed from the new media, has brought crisis to traditional mainstream literature. Internet has expanded new living space for literature and accelerated the artistic fission and historical transformation of literature in the new century. Web media is changing the content, form and method of literature comprehensively. The new media has brought new concept, expressional means, style, aesthetic taste，critical perspective and exploring space. Media theory, as a brand new perspective of literature study, is not only one of the current scientific theories in literature study, it will also revert the traditional literary history and redescribe the evolutional path of the world literature. Key words: web media; the new century; literature; transformation Résumé: Le média détermine la configuration artistique et le rythme du développement de la littérature. Etant développé à partir des nouveaux médias, le Web littérature a mis la littérature traditionnelle dans la crise. Internet a élargi nouvel espace de vie pour la littérature et accéléré la fission artistique et la transformation historique de la littérature dans le nouveau siècle. Web média est en train de changer le contenu, la forme et la méthode de la littérature. Les nouveaux médias ont créé de nouveaux concepts, de nouveaux moyens d’expression, du style, des go ts esthétiques, des perspectives critiques et des espaces d’exploration. La théorie des médias, comme une toute nouvelle perspective d'études de la littérature, n'est pas seulement l'une des théories scientifiques actuelles en littérature, mais aussi le retour de l’histoire de la littérature traditionnelle et une nouvelle description du trajet évolutif de la littérature mondiale. Mots-clés: web média; le nouveau siècle; littérature; transformation 摘 要：媒介決定文學的藝術形態和發展節律。新媒介孕育的網路文學，已經給傳統主流文學帶來了危機。網路開拓著文學新的生存空間，推動新世紀文學的藝術裂變和歷史轉型。網路媒介正在全方位地改變著文學的內容、 形式和手段。新媒介帶來了新的文學觀念、表現手段、體裁樣式、審美趣味、批評視角和探索空間。媒介理論是文學研究的全新視角，它不僅是當下文學研究的科學理論之一，同時將顛覆傳統的文學歷史，重新描述世界文學的演化軌跡。 關鍵詞：網路媒介；新世紀；文學；轉型

Abstract:
MRI is one of the most important imaging tools in clinics. It interrogates nuclei of atoms in a living subject, providing detailed delineation with high spatial and temporal resolutions. To compensate the innate low sensitivity, MRI contrast probes were developed and widely used. These are typically paramagnetic or superparamagnetic materials, functioning by reducing relaxation times of nearby protons. Previously, gadolinium(Gd)-based T1 contrast probes were dominantly used. However, it was found recently that their uses are occasionally associated with nephrogenic system fibrosis (NSF), which suggests a need of finding alternatives. Among the efforts, manganese-containing nanoparticles have attracted much attention. By careful engineering, manganese nanoparticles with comparable r1 relaxivities can be yielded. Moreover, other functionalities, be a targeting motif, a therapeutic agent or a second imaging component, can be loaded onto these nanoparticles, resulting in multifunctional nanoplatforms.

Abstract:
With the advent of the Internet Age, the text writing theory has entered a critical transforming period. New ways of thinking and new concepts brought by the new media of the Internet are leading a revolution in the realm of writing. The traditional text writing theory has become somewhat speechless on the Internet, trapped in a crisis of being deconstructed and reorganized. A diversified form of writing theory of the Internet Age is developing, whose complementary structure of research perspective, diversified trend of theory system and the new space of the subject have presented us with a rather attractive new academic study dimension. The long-term coexistence of the real world and the cyber space will see a parallel development of traditional and modern ways of text writing theories with interactions through harmonious tensions. This paper mainly discussed the following three issues: First, the new Internet media has led to a revolution in the writing arena. The form of medium itself contains enormous transformative force, thus the revolution in the writing arena caused by the new Internet media. Second, the writing on the computer is exerting impact on the traditional text writing theory. The writing topic and content have shifted from single, concentrated ones towards diversified ones; the linear plane structure has been shifted to the network structure; the singular media writing skill is replaced with multi-media ways. The pre-setting of the acceptance theory: the passive outlook of passengers and the selective outlook of the driver; the static materials of the limited space and the dynamic materials of the limitless cyberspace. A differentiated new network linguistic form is emerging from the traditional form. The Internet literal style is breaking down the pattern of the traditional literal style. The traditional literature creation theory is facing a challenge from the Internet literature. Third, the text writing theory of the Internet Age is been diversified. The writing perspectives are confronting and complementing with each other; the theoretical system has been diversified; new space has been created by the subject. Key words: the Internet Age, Text writing theory, Multi-diversification Résumé: A l’époque de l’internet , la théorie de rédaction des textes est train d’évoluer . Les nouvelles pensées et idées apportées par les néomass media de l’internet donnent lieu à une révolution dans le milieu de composition . La théorie traditionnelle de rédaction doit faire face à la décomposition et la restructuration . Une nouvelle théorie pluralis

Abstract:
A mathematical model with stage structures is presented that incorporates the awareness stage and the decision-making stage; individuals exchange product information by two channels: mass media and interpersonal communication. When the persuasive advertisement is neglected in the decision-making stage, we find a threshold value about whether new products diffusion is successful or not. When the persuasive advertisement is considered, there must exist a positive equilibrium under some parameter condition; moreover, it must be globally asymptotically stable as long as it exists. Results show that the persuasive advertisement in the decision-making stage does not influence new products' successful diffusion, but the critical value that new products diffuse successfully decreases when the persuasive advertisement is considered. Some numerical simulations confirm our theoretical analysis and demonstrate the influence of parameters on the system. Corresponding to the analysis results, some diffusion strategies are provided. 1. Introduction New products diffusion is the process by which some new products information is communicated through certain channels over time among the members of a social system. It is a special type of communication in which the messages are concerned with new ideas. Previously we defined communication as the process by which participants create and share information with one another in order to reach a mutual understanding. The essence of the new products diffusion process is the product information exchanged by which one individual communicates a new product to one or several others. At its most elementary form, the process involves a propagation about some new product by mass media, an individual or other unit of adoption that is aware of, or experienced with, using some new product, another individual or other unit that is not yet aware of this new product, and a communication channel connecting the two units. The heart of new products diffusion process is that more people know and adopt new products; therefore, on one hand, mass media channels are all those means of transmitting new products information that involve a mass medium, such as radio, television, newspapers, and so on, which enable a source of one or a few individuals to reach an audience of many; on the other hand, most people depend mainly upon a subjective evaluation of an innovation that is conveyed to them from other individuals like themselves who have previously adopted the innovation. So, interpersonal channels are more effective in persuading an individual to

Abstract:
Spatial evolution game has traditionally assumed that players interact with neighbors on a single network, which is isolated and not influenced by other systems. We introduce the simple game model into the interdependent networks composed of two networks, and show that when the interdependent factor $\alpha$ is smaller than a particular value $\alpha_C$, homogeneous cooperation can be guaranteed. However, as interdependent factor exceeds $\alpha_C$, spontaneous symmetry breaking of fraction of cooperators presents itself between different networks. In addition, our results can be well predicted by the strategy-couple pair approximation method.

Synthetic aperture radar based on the
matched filter theory has the ability of obtaining two-di- mensional image of
the scattering areas. Nevertheless, the resolution and sidelobe level of SAR
imaging is limited by the antenna length and bandwidth of transmitted signal. However,
for sparse signals (direct or indirect), sparse imaging methods can break
through limitations of the conventional SAR methods. In this paper, we
introduce the basic theory of sparse representation and reconstruction, and
then analyze several common sparse imaging algorithms: the greed algorithm, the
convex optimization algorithm. We apply some of these algorithms into SAR
imaging using RadBasedata. The results show the presented method based on
sparse construction theory outperforms the conventional SAR method based on MF
theory.

Abstract:
This paper studies a three-dimensional volterra system in a large capacitypolluted environment. We give the thresholds between survival and extinction of everypopulations of a three-dimensional Lotke--Volterra prey-predator system.