[PDF] Top 20 Bounded solutions of delay dynamic equations on time scales
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Bounded solutions of delay dynamic equations on time scales
... The proof of the following theorem is based on the retract method, which is well known for ordinary differential equations and goes back to Ważewski []. Below we will assume that the function f , except for the ... See full document
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Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales
... of delay dynamic equations on time scales, in this paper, by using the averaging technique and the generalized Riccati transformation, we consider the second-order nonlinear neutral ... See full document
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New Oscillatory Theorems for Third Order Nonlinear Delay Dynamic Equations on Time Scales
... [18] Gao, L., Zhang, Q.X. and Liu, S.H. (2014) Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales. Journal of Computational and Applied Mathematics , ... See full document
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Oscillation Criteria for Second Order Delay Dynamic Equations on Time Scales
... of delay dynamic equations on time scales, in this paper, we consider the second-order nonlinear delay dynamic equation on time scales ... See full document
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New Oscillation Criteria of Second Order Nonlinear Delay Dynamic Equations on Time Scales
... nonlinear delay dynamic equations on time ...nonlinear delay differential equation and the second-order nonlinear delay difference equation on time ... See full document
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On the Oscillation of Second Order Nonlinear Neutral Delay Dynamic Equations on Time Scales
... On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales Quanxin Zhang, Xia Song, Li Gao Department of Mathematics, Binzhou University, Shandong, China[r] ... See full document
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Oscillation for Second Order Nonlinear Delay Dynamic Equations on Time Scales
... of solutions of various equations on time scales, and we refer the reader to Bohner and Saker 5 , Erbe 6 , and Hassan 7 ...the solutions of delay dynamic equations ... See full document
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Existence of Nonoscillatory Solutions to Second Order Neutral Delay Dynamic Equations on Time Scales
... Neutral equations find numerous applications in natural science and ...of equations of ...nonoscillatory solutions for neutral delay dynamic equations on time ... See full document
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New oscillation criteria for higher order delay dynamic equations on time scales
... of time scales and time scale notation are assumed, for an excellent introduction to the calculus on time scales; see Bohner and Peterson [, ...some dynamic equations on ... See full document
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Nonoscillation for higher order nonlinear delay dynamic equations on time scales
... of time scale was initiated by Hilger’s landmark paper [], which has received a lot of at- ...interesting time scales, and they give rise to many appli- cations (see ...on time-scale ...all ... See full document
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22. Oscillation theorems for fourth-order delay dynamic equations on time scales
... vanishing in some neighbourhood of infinity will be excluded from our considera- tion. A solution x of Eq. (1.1) is said to be oscillatory if it is neither eventually positive nor eventually negative, otherwise it is ... See full document
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Oscillation criteria for p Laplacian delay dynamic equations with damping on time scales
... rd-continuous functions defined on T . By using the Riccati transformation technique and integral averaging technique, some new sufficient conditions, which ensure that every solution oscillates, are established. Our ... See full document
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Lower and upper estimates of solutions to systems of delay dynamic equations on time scales
... the delay functions. We are interested in the asymptotic behavior of solutions of the mentioned system. More precisely, we formulate conditions on a function f, which guarantee that the graph of at least ... See full document
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Oscillation Criteria For Third-Order Nonlinear Neutral Delay Dynamic Equations On Time Scales
... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document
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Asymptotic behavior of solutions for neutral dynamic equations on time scales
... arbitrary time-scale calculus, where a time scale is merely a nonempty closed set of real ...erence equations to dynamic equations on time ...on delay dynamic ... See full document
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7. Oscillation Criteria for Third-order Nonlinear Delay Dynamic Equations on Time Scales
... In this paper, by using (1.2), we consider the following delay dynamic equations x ∆ 3 (t) + p(t)x γ (τ(t)) = 0, t ∈ T with sup T = ∞. (1.5) We assume that γ > 0 is a quotient of odd positive ... See full document
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Existence and uniqueness of solutions to the second order fuzzy dynamic equations on time scales
... of dynamic equations and the essential concepts in the calculus of time scales were introduced by Bernd Aulbach and Stefan Hilger ...The dynamic systems on time scales ... See full document
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Oscillation of second order neutral delay and mixed type dynamic equations on time scales
... In the proof of Theorem 2.3, first (2.1) is reduced to a first-order delay dynamic equation in the form of (2.2) and then, by similar steps of the proof of well-known oscillation criterion given by Ladas et ... See full document
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Positive Solutions for Third-Order -Laplacian Functional Dynamic Equations on Time Scales
... differential equations and finite difference equations have been studied extensively, for example see 1–4 and references ...on time scales, especially for p-Laplacian functional dynamic ... See full document
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Positive solutions to nonlinear first order impulsive dynamic equations on time scales
... positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document
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