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