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3. Asymptotic behavior and oscillation of solutions of third order neutral dynamic equations with distributed deviating arguments
... (1.1) where T is a time scale unbounded above with t 0 ∈ T , z(t) = x(t) + p(t)x(g(t)), α i are quotients of positive odd integers for i = 1, 2, and a, b ∈ R with 0 < a < b. Standard notation and terminology for ... See full document
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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 ...the oscillation and ... See full document
15
Oscillatory behavior of third order neutral delay differential equations with distributed deviating arguments
... the oscillation theory and asymptotic behavior of various classes of second-order and high-order differential equations and dynamic equations on time scales ...the ... See full document
254
On the asymptotic and oscillatory behavior of solutions of third order neutral dynamic equations on time scales
... the third-order neutral dynamic equations on time scales in the case p(t) ≥ ...the oscillation and asymptotic behavior of solutions of ... See full document
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2. Oscillation Criteria For Even-Order Nonlinear Neutral Differential Equations of Mixed Type
... Differential equations with delayed and advanced arguments (also called mixed differential equations or equations with mixed arguments) occur in many problems of economy, biology and ... See full document
6
Oscillation Behavior of Third Order Neutral Emden Fowler Delay Dynamic Equations on Time Scales
... the oscillation and nonoscillation of solutions of various equations on time-scales; we refer the reader to the papers 6–38 ...few oscillation results for the oscillation of ... See full document
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Oscillation criteria for even order neutral differential equations with distributed deviating arguments
... first order delay equations and technique of Riccati transformation, we obtain a two different conditions ensure oscilla- tion of solutions of this equation, which extend and improve results of ...for ... See full document
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Asymptotics and oscillation of higher order functional dynamic equations with Laplacian and deviating arguments
... study asymptotic behavior and derive some new oscillation criteria for the cases without any restrictions on g(t) and σ (t) and when n is even and ... See full document
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Asymptotic behavior of third order differential equations with nonpositive neutral coefficients and distributed deviating arguments
... differential equations have attracted noticeable interests due to their poten- tial applications in assorted fields, including physical sciences, technology, population dy- namics, and so ...of ... See full document
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Oscillation and asymptotic behavior of third order neutral differential equations with distributed deviating arguments
... In the special case when α = , (.) reduces to (.). Now the following question arises. Could we obtain new Philos-type oscillation criteria for (.) by using a generalized Riccati transformation which differs ... See full document
5
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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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 ... See full document
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Forced Oscillation of Neutral Impulsive Parabolic Partial Differential Equations with Continuous Distributed Deviating Arguments
... differential equations with impulses, functional arguments and partial differential equations without im- pulses, functional arguments; from a practical standpoint, they are very convenient ... See full document
10
On the Asymptotic Behavior of Second Order Quasilinear Difference Equations
... 1) Equation (14) has a solution of type (D) if and only if σ < − − α 1 (Theorem 10 and 11). 2) Equation (14) has a solution of type (AC) if and only if σ < − − α 1 (Theorem 14). 3) Equation (14) has a ... See full document
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Oscillation of Higher Order Neutral Type Periodic Differential Equations with Distributed Arguments
... some oscillation criteria for solutions of ...general-type neutral dif- ferential ...the oscillation of solutions of ...positive solutions of some nonneutral di ff erential ... See full document
166
Asymptotic behavior of second order nonlinear neutral dynamic equations
... In , Saker et al. [] posed an open problem as follows: How to establish oscillation criteria for equation (.) when condition (.) holds? Assuming (.), Zhang et al. [, ] obtained some sufficient ... See full document
10
Oscillation of third order neutral differential equations with damping and distributed delay
... ential equations, especially for the first-order or second-order ...the oscillation for the second-order equations, researchers began to study the oscillation for the ... See full document
8
Oscillation criteria for third order neutral difference equations with distributed delay
... In Section 2, we present some preliminary lemmas and in Section 3, we establish some sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or con[r] ... See full document
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Oscillatory behavior of second-order nonlinear neutral differential equations with distributed deviating arguments
... nonlinear neutral functional differential equations with distributed deviating ...the neutral coefficient, some new criteria are ... See full document
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Oscillation of second order nonlinear neutral dynamic equations with distributed deviating arguments on time scales
... In , Candan [] discussed the oscillation of Eq. (.) for δ(t, ξ ) ≤ t and δ(t, ξ) > t, respectively, where γ > is a quotient of odd positive integers. In [], δ(t, ξ ) is decreasing with respect to ξ ... See full document
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