Delay Dynamic
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 one ...
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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 , 256, 104-113. ...
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Oscillation criteria for certain third order delay dynamic equations
... Remark . Clearly, Kamenev-type oscillation criteria for second-order linear differen- tial equation was extended to third-order nonlinear variable delay dynamic equations on time scales. One can easily see ...
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Solution of Multi Delay Dynamic Systems by Using Hybrid Functions
... The hybrid of the Block-Pulse functions and the Bernoulli polynomials and the associated operational matrices of integration and delay are applied to solve the linear multi-delay dynamic systems. The ...
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Boundedness and vanishing of solutions for a forced delay dynamic equation
... We give conditions under which all solutions of a time-scale first-order nonlinear vari- able-delay dynamic equation with forcing term are bounded and vanish at infinity, for arbitrary time scales that are ...
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Oscillation for Second Order Nonlinear Delay Dynamic Equations on Time Scales
... nonlinear delay dynamic equations r tx Δ t γ Δ ptfxτ t 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r and p real-valued positive rd- continuous functions defined on ...
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Iterated Oscillation Criteria for Delay Dynamic Equations of First Order
... We obtain new su ffi cient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential ...
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Oscillation Criteria for Second Order Delay Dynamic Equations on Time Scales
... In recent years, there has been much research activity concerning the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to Bohner and Saker [5], Erbe [6], Erbe et ...
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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 delay ...
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New oscillation results for second order neutral delay dynamic equations
... presented that not only complement and improve those related results in the literature, but also improve some known results for a second-order delay dynamic equation without a neutral term. Further, the ...
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Delay dynamic equations with stability
... linear delay dynamic equation for isolated time scales vanishes at ...nonlinear delay dynamic equation is asymptotically stable, for arbitrary time ...
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Nonoscillation for higher order nonlinear delay dynamic equations on time scales
... Nonoscillation for higher order nonlinear delay dynamic equations on time scales Tao et al Advances in Difference Equations (2016) 2016 58 DOI 10 1186/s13662 016 0786 6 R E S E A R C H Open Access Non[.] ...
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Oscillation of Second Order Mixed Nonlinear Delay Dynamic Equations
... where the potential p and the forcing term e may oscillate. Some of these interval oscillation criteria were recently extended to second-order dynamic equations in 6–10. Further results on oscillatory and ...
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22. Oscillation theorems for fourth-order delay dynamic equations on time scales
... The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger [1] in his PhD thesis in 1988 in order to unify contin- uous and discrete analysis. The study of the oscillation ...
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Distributions of zeros of solutions to first order delay dynamic equations
... order delay differential and difference equations are studied widely in the literature; see [–] and the references ...order delay and advanced dynamic equations on time scales (see [, ...order ...
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Bounded solutions of delay dynamic equations on time scales
... where f : T × R → R , τ : T → T is a delay function and T is a time scale. We formulate the principle which gives the guarantee that the graph of at least one solution of the above mentioned equation stays in the ...
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Area-Delay Dynamic Binary Adders in QCA
... advanced carry-look ahead architectures are the Manchester carry chain[6], Brent–Kung adder, and the Kogge–Stone adder .Some other multi-bit adder architectures break the adder into blocks. It is possible to vary the ...
Oscillation Criteria for Second-Order Nonlinear Functional Dynamic Equations with Damping on Time Scales
... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ...
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EFFICIENT AND DYNAMIC TOPOLOGY IN DELAY TOLERANT NETWORKS
... Existing Delay tolerant networks research mainly concentrates on information propagation and packet ...delivery. Delay tolerant networks where the time evolving topology is known a priori or can be ...the ...
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Delay and energy efficient data collection scheme based matrix filling theory for dynamic traffic IoT
... In the study of Xu et al., a structure of an unequal cluster network is used. In such a network structure, the radius of all clusters in the network is the same. In Li et al. [5], we believe that the performance of data ...
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