IJPAM: Volume 58, No. 1 (2010)
ASYMPTOTIC BEHAVIOR OF NON-OSCILLATORY
SOLUTIONS OF CERTAIN SECOND ORDER
NON-LINEAR DIFFERENCE EQUATIONS
SOLUTIONS OF CERTAIN SECOND ORDER
NON-LINEAR DIFFERENCE EQUATIONS
S. Lourdu Marian
, A. George Maria Selvam
Department of Master of Computer Applications
Saveetha Engineering College
Thandalam, Chennai, 602 105, S. INDIA
e-mail: [email protected]
Department of Mathematics
Sacred Heart College
Tirupattur, 635 601, Vellore Dist., S. INDIA
e-mail: [email protected]



Saveetha Engineering College
Thandalam, Chennai, 602 105, S. INDIA
e-mail: [email protected]

Sacred Heart College
Tirupattur, 635 601, Vellore Dist., S. INDIA
e-mail: [email protected]
Abstract.In this paper, we investigate the asymptotic behavior of all non-oscillatory solutions of the second order non-linear difference equation
![\begin{displaymath}
\Delta [p(n)\phi(\Delta x(n))] + q(n+1 )f(x(n+1)) = 0,\quad n \ge n_0.
\end{displaymath}](img3.png)
Also we provide conditions under which


Received: December 12, 2009
AMS Subject Classification: 39A10, 39A11
Key Words and Phrases: asymptotic behavior, oscillation, non-linear, difference equations
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 58
Issue: 1