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Shin Min Kang - One of the best experts on this subject based on the ideXlab platform.
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Solvability of a Second Order Nonlinear Neutral Delay Difference Equation
Abstract and Applied Analysis, 2011Co-Authors: Zeqing Liu, Liangshi Zhao, Jeong Sheok Ume, Shin Min KangAbstract:This paper studies the second-order nonlinear neutral Delay Difference equation ?[?????(????
Zeqing Liu - One of the best experts on this subject based on the ideXlab platform.
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Solvability of a Second Order Nonlinear Neutral Delay Difference Equation
Abstract and Applied Analysis, 2011Co-Authors: Zeqing Liu, Liangshi Zhao, Jeong Sheok Ume, Shin Min KangAbstract:This paper studies the second-order nonlinear neutral Delay Difference equation ?[?????(????
E Thandapani - One of the best experts on this subject based on the ideXlab platform.
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oscillation theorems for third order nonlinear Delay Difference equations
Mathematica Bohemica, 2019Co-Authors: Kumar S Vidhyaa, E Thandapani, Chinnappa Dharuman, Sandra PinelasAbstract:Sufficient conditions are obtained for the third order nonlinear Delay Difference equation of the form $$ \Delta (a_n(\Delta (b_n(\Delta y_n)^{\alpha })))+q_nf(y_{\sigma (n)})=0 $$ to have property ${(\rm A)}$ or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results.
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oscillation of third order Delay Difference equations with negative damping term
Annales Universitatis Mariae Curie-Sklodowska sectio A – Mathematica, 2018Co-Authors: Martin Bohner, S Selvarangam, Srinivasan Geetha, E ThandapaniAbstract:The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order Delay Difference equation. By using comparison theorems, we deduce oscillation of the Difference equation from its relation to certain associated first-order Delay Difference equations or inequalities. Examples are given to illustrate the main results.
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Oscillation Of First Order Neutral Delay Difference Equations
2003Co-Authors: E Thandapani, Ramalingam Arul, Palanisamy S. RajaAbstract:Sufficient conditions are established for the oscillation of all solutions of first order neutral Delay Difference equations. Our approach is to reduce the oscillation of neutral Delay Difference equation to the non-existence of positive solutions of Delay Difference inequalities. The results obtained here extend and improve several known results in the literature.
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oscillatory and nonoscillatory behavior of second order neutral Delay Difference equations
Mathematical and Computer Modelling, 1996Co-Authors: Ravi P Agarwal, M M S Manuel, E ThandapaniAbstract:We shall investigate the oscillatory behavior of solutions of second order nonlinear neutral Delay Difference equations. Several examples which dwell upon the importance of our results are also illustrated.
Shunian Zhang - One of the best experts on this subject based on the ideXlab platform.
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Almost periodic solutions of Delay Difference systems
Applied Mathematics and Computation, 2002Co-Authors: Shunian Zhang, Guang ZhengAbstract:In the present paper, we study the properties of almost periodic solutions for Delay Difference systems and establish some theorems on the existence of almost periodic solutions for Delay Difference systems by means of Liapunov functionals. The obtained results confirm not only the existence, but also the uniqueness as well as the uniform asymptotic stability of the almost periodic solution.
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ON UNIFORM ASYMPTOTIC STABILITY OF INFINITE Delay Difference EQUATIONS
Chinese Annals of Mathematics, 2001Co-Authors: Shunian ZhangAbstract:For the infinite Delay Difference equations of the general form, two new uniform asymptotic stability criteria are established in terms of the discrete Liapunov functionals.
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Stability of neutral Delay Difference systems
Computers & Mathematics with Applications, 2001Co-Authors: Shunian ZhangAbstract:Abstract For neutral Delay Difference systems of the general form, two kinds of stability criteria are established in this paper. One is by means of the discrete Liapunov functionals, while the other is with the discrete Liapunov functions. Both make use of Razumikhin techniques.
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Estimate of total stability of Delay Difference systems
Computers & Mathematics with Applications, 1999Co-Authors: Shunian ZhangAbstract:Abstract The concepts of total stability and total asymptotic stability for Delay Difference systems in the general form are defined. Moreover, the criteria for total stability and total asymptotic stability of linear Delay Difference systems are established. The obtained results are qualitative and quantitative in the sense that the estimates of the total stability region and the total asymptotic stability region are given.
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A new Razumikhin theorem for Delay Difference equations
Computers & Mathematics with Applications, 1998Co-Authors: Shunian Zhang, Ming-po ChenAbstract:Abstract In this paper, we established a new Razumikhin-type theorem on stability for Delay Difference equations.
Jeong Sheok Ume - One of the best experts on this subject based on the ideXlab platform.
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Solvability of a Second Order Nonlinear Neutral Delay Difference Equation
Abstract and Applied Analysis, 2011Co-Authors: Zeqing Liu, Liangshi Zhao, Jeong Sheok Ume, Shin Min KangAbstract:This paper studies the second-order nonlinear neutral Delay Difference equation ?[?????(????