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BOUNDED OSCILLATION OF SECOND ORDER UNSTABLE NEUTRAL TYPE DIFFERENCE EQUATIONS
Thandapani, E.,Arul, R.,Raja, P.S. 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.16 No.1
In this paper the authors present sufficient conditions for all bounded solutions of the second order neutral difference equation ${\Delta}^2(y_n\;-\;py_{n-{\kappa}})\;-\;q_nf(y_{n-e})\;=\;0,\;n\;{\in}\;N$ to be oscillatory. Examples are provided to illustrate the results.
Bounded oscillation of second order unstable neutral type difference equations
E. Thandapani 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.16 No.-
In this paper the authors present sufficient conditions for all bounded solutions of the second order neutral difference equation 2(yn − pyn−k) − qnf(yn−`) = 0, n 2 N to be oscillatory. Examples are provided to illustrate the results.
Asymptotic Behavior of Solutions of a Class of Second Order Quasilinear Difference Equations
E. Thandapani,S. Pandian,R. K. Balasubramanian 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.2
In this paper, we study asymptotic behavior of solutions of a class of second order quasilinear difference equations. All proper solutions are classfied into four types by means of their asymptotic behavior. Necessary and / or suffcient conditions are given for such equations to have solutions of each of the four types.