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[PDF] Top 20 Oscillation criteria for certain third order delay dynamic equations

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Oscillation criteria for certain third order delay dynamic equations

Oscillation criteria for certain third order delay dynamic equations

... Equations of this type arise in a number of important applications such as problems in biological population dynamics, in neural network, in quantum theory, in computer science and in control theory. Hence, it is ... See full document

16

Oscillation Criteria for Second Order Neutral Delay Dynamic Equations with Mixed Nonlinearities

Oscillation Criteria for Second Order Neutral Delay Dynamic Equations with Mixed Nonlinearities

... of dynamic equations on time scales, see, for example, 1–3 and the references cited ...the oscillation and nonoscillation of solutions of ordinary and neutral dynamic equations on time ... See full document

14

Oscillation criteria for second order nonlinear delay dynamic equations of neutral type

Oscillation criteria for second order nonlinear delay dynamic equations of neutral type

... of equations with nonnegative neutral coefficients; see, ...for equations with nonpositive neutral coefficients, there are relatively fewer results in the literature; see [3, 4, 6, 11, 14, ... See full document

9

Oscillation criteria for certain second order Emden Fowler delay functional dynamic equations with damping on time scales

Oscillation criteria for certain second order Emden Fowler delay functional dynamic equations with damping on time scales

... the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to the studies in ...the oscillation of the solutions of second-order delay ... See full document

16

New oscillation criteria for higher order delay dynamic equations on time scales

New oscillation criteria for higher order delay dynamic equations on time scales

... important applications in quantum theory (see []). In this work, knowledge and under- standing of time scales and time scale notation are assumed, for an excellent introduction to the calculus on time scales; see Bohner ... See full document

16

On the oscillation of certain third order difference equations

On the oscillation of certain third order difference equations

... difference equations of type (1.4;δ), the study of higher-order equations, and in particular third-order equations of type ...for equations with deviating ...establish ... See full document

23

Oscillation Criteria for Second Order Delay Dynamic Equations on Time Scales

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

16

Oscillation Criteria for Second Order Quasilinear Neutral Delay Dynamic Equations on Time Scales

Oscillation Criteria for Second Order Quasilinear Neutral Delay Dynamic Equations on Time Scales

... The paper is organized as follows. In the next section, by developing a Riccati transformation technique some sufficient conditions for oscillation of all solutions of 1.1 on time scales are established. In Section ... See full document

14

Oscillation criteria of third order nonlinear dynamic equations with nonpositive neutral coefficients on time scales

Oscillation criteria of third order nonlinear dynamic equations with nonpositive neutral coefficients on time scales

... establish oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales by a generalized Riccati transformation and employing ... See full document

16

Interval Oscillation Criteria for Second-Order Delay Differential Equations

Interval Oscillation Criteria for Second-Order Delay Differential Equations

... interval oscillation cri- teria for certain nonlinear delay second order differ- ential equation that are different from some known ...ous oscillation criteria and handle the cases ... See full document

5

Oscillation criteria for second order nonlinear dynamic equations

Oscillation criteria for second order nonlinear dynamic equations

... on a time scale T which is unbounded above. No sign conditions are imposed on r(t), p(t), and q(t). The function f ∈ C(R, R) is assumed to satisfy xf (x) > 0 and f (x) > 0 for x = 0. In addition, there is no need ... See full document

13

Oscillation criteria for second order quasi linear delay dynamic equations on time scales

Oscillation criteria for second order quasi linear delay dynamic equations on time scales

... and utilised a Riccati transformation technique and established some oscillation criteria for (.). Erbe et al. [] considered the half-linear delay dynamic equation (.) on time scales, ... See full document

16

New Oscillation Criteria of Second Order Nonlinear Delay Dynamic Equations on  Time Scales

New Oscillation Criteria of Second Order Nonlinear Delay Dynamic Equations on Time Scales

... linear delay dynamic equations by Agarwal, Bohner and Saker in 2005 [1] (7) and the nonlinear delay dynamic equations by Sahiner [2] (6), some sufficient conditions for ... See full document

11

Oscillation of Even Order Nonlinear Functional Dynamic Equations on Time Scales

Oscillation of Even Order Nonlinear Functional Dynamic Equations on Time Scales

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation criteria for quasi-linear neutral ... See full document

10

Oscillation Properties of Third Order Neutral Delay Differential Equations

Oscillation Properties of Third Order Neutral Delay Differential Equations

... Oscillation criteria are established for third-order neutral delay differential equations with deviating ...These criteria extend and generalize those results in the ... See full document

9

Oscillation criteria for third order functional half linear dynamic equations

Oscillation criteria for third order functional half linear dynamic equations

... then every solution of equation (.) is either oscillatory or tends to zero eventually. Remark . If the assumption (.) is not satisfied, we have some sufficient conditions which ensure that every solution x(t) of (.) ... See full document

28

Iterated Oscillation Criteria for Delay Dynamic Equations of First Order

Iterated Oscillation Criteria for Delay Dynamic Equations of First Order

... Oscillation theory on Z and R has drawn extensive attention in recent years. Most of the results on Z have corresponding results on R and vice versa because there is a very close relation between Z and R. This ... See full document

12

Oscillation criteria for third order neutral dynamic equations with continuously distributed delay

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 ...the oscillation and ... See full document

15

Oscillation criteria for third order delay differential equations

Oscillation criteria for third order delay differential equations

... The main objective in this paper is to study the asymptotic and oscillatory behavior of the solutions of (.). Our method is essentially based on establishing sharper estimates for increasing positive solutions of (.) ... See full document

11

7. Oscillation Criteria for Third-order Nonlinear Delay
Dynamic Equations on Time Scales

7. Oscillation Criteria for Third-order Nonlinear Delay Dynamic Equations on Time Scales

... The theory of time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph. D. thesis [1] in order to unify continuous and discrete analysis. A time scale T is an arbitrary ... See full document

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