“…Recently, the existence of non-oscillatory solutions of neutral differential equations and difference equations have been investigated by many authors see books [1,2,9,11] and papers [5,6,8,10,12,13] and the references contained therein.…”
Abstract-In this paper, we study the existence of nonoscillatory solution of first-order neutral dynamic equations with delay and advance terms on Time Scales. Some sufficient conditions for the existence of positive solutions are obtained. We use the Banach contraction principle to prove our results.
“…Recently, the existence of non-oscillatory solutions of neutral differential equations and difference equations have been investigated by many authors see books [1,2,9,11] and papers [5,6,8,10,12,13] and the references contained therein.…”
Abstract-In this paper, we study the existence of nonoscillatory solution of first-order neutral dynamic equations with delay and advance terms on Time Scales. Some sufficient conditions for the existence of positive solutions are obtained. We use the Banach contraction principle to prove our results.
“…Sutrm-Liouville differential and also difference equations were studied by variable authors [1][2][3][4][5][6]. Oscillation criteria and asymptotic behaviours of delay difference equations were studied by [7][8][9][10][11][12][13][14].…”
“…Agarwal et.al. [2], [3], [4]. Difference equations find a lot of applications in the natural sciences, technology and population dynamics.Recently there has been a lot of interest in the study of oscillatory behaviour of solutions of nonlinear difference equations.…”
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