跳至主要内容

Oscillatory and Asymptotic Behavior of Solutions of Second Order Neutral Delay Difference Equations with “Maxima”

Read  full  paper  at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53847#.VNhbkizQrzE

ABSTRACT
In this paper, we study the oscillatory and asymptotic behavior of second order neutral delay difference equation with “maxima” of the form 
Examples are given to illustrate the main result.
Cite this paper
Arul, R. and Angayarkanni, M. (2015) Oscillatory and Asymptotic Behavior of Solutions of Second Order Neutral Delay Difference Equations with “Maxima”. Advances in Pure Mathematics, 5, 71-81. doi: 10.4236/apm.2015.52009.
 
References
[1]Agarwal, R.P. (2000) Difference Equations and Inequalities. 2nd Edition, Marcel Dekker, New York.
 
[2]Agarwal, R.P., Bohner, M., Grace, S.R. and O’Regan, D. (2005) Discrete Oscillation Theory. Hindawi Publ. Corp., New York. http://dx.doi.org/10.1155/9789775945198
 
[3]Kelley, W.G. and Peterson, A.C. (2001) Difference Equations: An Introduction with Applications. 2nd Edition, Academic Press, New York.
 
[4]Thandapani, E. and Selvarangam, S. (2012) Oscillation of Second Emden-Fowler Type Neutral Difference Equations. Dynamics Continous Discrete Impulise System, 19, 453-469.
 
[5]Zhang, G. and Geo, Y. (2001) Oscillation Theory for Difference Equations. Publishing House of Higher Education, Beijing.
 
[6]Arul, R. and Angayarkanni, M. (2013) Asymptotic Behavior of Second Order Nonlinear Neutral Difference Equations with “Maxima”. Far East Journal of Mathematical Science, 82, 79-92.
 
[7]Arul, R. and Angayarkanni, M. (2014) Oscillatory and Asymptotic Behavior of Second Order Neutral Difference Equations with “Maxima”. Journal of Advances in Mathematics, 1916-1924.
 
[8]Luo, J.W. and Bainov, D.D. (2001) Oscillatory and Asymptotic Behavior of Second-Order Neutral Difference Equations with “Maxima”. Journal of Computational and Applied Mathematics, 131, 333-341.
http://dx.doi.org/10.1016/S0377-0427(00)00264-8
 
[9]Luo, J.W. and Petrov, V.A. (1999) Oscillation of Second Order Neutral Difference Equations with “Maxima”. Journal of Mathematical Sciences Research. Hot-Line, 3, 17-22.                   eww150209lx
标签：

评论

发表评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...
发表评论
阅读全文

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...
发表评论
阅读全文