neutral dynamic equations
3. Asymptotic behavior and oscillation of solutions of third order neutral dynamic equations with distributed deviating arguments
... order neutral dynamic equations with distributed deviating arguments of type ...order neutral dynamic equations with distributed deviating ...order neutral dynamic ...
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Nonoscillatory solutions to fourth order neutral dynamic equations on time scales
... In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales ...
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Oscillation of second order nonlinear neutral dynamic equations with distributed deviating arguments on time scales
... Zhang and Wang Advances in Difference Equations (2015) 2015 7 DOI 10 1186/s13662 014 0337 y R E S E A R C H Open Access Oscillation of second order nonlinear neutral dynamic equations with distributed[.] ...
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Oscillation and nonoscillation for second order neutral dynamic equations with positive and negative coefficients on time scales
... order neutral dynamic equations with positive and negative ...related dynamic equations along with some additional estimates on positive solutions and use different techniques to obtain ...
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On the asymptotic and oscillatory behavior of solutions of third order neutral dynamic equations on time scales
... as g(t) = t – b and h(t) = t – c with b > and c > . Furthermore, the results in this pa- per can easily be extended to more general third-order neutral dynamic equations of the type (.). ...
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Periodic and Nonnegative Periodic Solutions of Nonlinear Neutral Dynamic Equations on a Time Scale
... Let T be a periodic time scale such that 0 ∈ T . In this article, we are interested in the analysis of qualitative theory of periodic and positive periodic solutions of neutral dynamic equations. ...
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Nonoscillatory solutions to third order neutral dynamic equations on time scales
... (C) f ∈ C(T × R, R), f (t, x) is nondecreasing in x and xf (t, x) > for t ∈ T and x = . Hilger introduced the theory of time scales in his Ph.D. thesis [] in ; see also []. More details of time scale ...
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Oscillation criteria for third order neutral dynamic equations with continuously distributed delay
... to dynamic equations on time scales, or mea- sure chains, and we refer the reader to the landmark paper of Hilger [] for a comprehen- sive treatment of the ...various equations on time scales; we ...
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Stability in Totally Nonlinear Neutral Dynamic Equations on Time Scales
... Abstract. Let T be a time scale which is unbounded above and below and such that 0 ∈ T . Let id − τ : [0,∞) ∩ T → T be such that (id − τ) ([0, ∞) ∩ T ) is a time scale. We use the Krasnoselskii- Burton’s fixed point ...
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Nonoscillatory solutions for first order neutral dynamic equations with continuously distributed delay on time scales
... Up to now there have been few studies on equations with continuously distributed delay on time scales. For some related works, the reader is referred to the papers [8–10]. In this paper, we obtain some new ...
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Oscillation of second order neutral dynamic equations with deviating arguments on time scales
... advanced dynamic equation on time scales, such as the h- difference equation (h > 0), and it is also called a finite difference equation, ...differential equations on time ...
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On oscillation of second order neutral dynamic equations
... The purpose of this paper is to obtain a new sufficient condition for oscillation of (.). The result obtained is essentially new for equations (.)-(.). This paper is organized as follows. In Section , we use ...
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Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
... nonneutral equations, then by comparison we provide sufficient conditions for all solutions of neutral equations to be oscillatory or tend to zero depending on two main ranges of the neutral ...
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Asymptotic behavior of second order nonlinear neutral dynamic equations
... In recent years, there has been much research activity concerning oscillation and nonoscillation of solutions to neutral differential and dynamic equations on time scales, we refer the reader to [, ...
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Oscillation of higher order neutral dynamic equations on time scales
... In recent years, there has been much research activity concerning the oscillation and non-oscillation of solutions of dynamic equations on time scales. We refer the reader to the monographs [1-3], the ...
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Asymptotic behavior of solutions for neutral dynamic equations on time scales
... In the aftermath of Hilger’s breakthrough paper [4], a rapidly diversifying body of literature has sought to unify, extend, and generalize ideas from discrete calculus, con- tinuous calculus, and quantum calculus to ...
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Oscillation and nonoscillation theorems of neutral dynamic equations on time scales
... In the past two decades, there has been shown a growing interest in the study of oscillation and stability of delay dynamic equations on time scales. Several excellent monographs [1–5] on the topic indeed ...
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Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable delay on a time scale
... papers therein). The theory of dynamic equations unifies the theories of differential equations and difference equations. We suppose that the reader is familiar with the basic concepts ...
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Oscillation criteria for second order nonlinear neutral dynamic equations with distributed deviating arguments on time scales
... Candan Advances in Difference Equations 2013, 2013 112 http //www advancesindifferenceequations com/content/2013/1/112 R ES EA RCH Open Access Oscillation criteria for second order nonlinear neutral d[.] ...
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Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales
... The theory of time scale was initiated by Hilger’s landmark paper [] in order to cre- ate a theory that can unify discrete and continuous analysis, which has received a lot of attention. There exists a variety of ...
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