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[PDF] Top 20 Oscillation criteria for a class of nonlinear neutral differential equations

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Oscillation criteria for a class of nonlinear neutral differential equations

Oscillation criteria for a class of nonlinear neutral differential equations

... The paper is organized as follows. We will first present criteria for (.) when δ = + in Section  and then for (.) when δ = – in Section . Some examples will be given to illustrate the obtained ... See full document

11

Interval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term

Interval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term

... interval oscillation criteria for a class of nonlinear fractional differential equations with nonlinear damping ...fractional differential equations can be ... See full document

6

Oscillation criteria for a class of fractional delay differential equations

Oscillation criteria for a class of fractional delay differential equations

... differential equations cannot be used di- rectly to solve fractional differential equations because of the nonlocal nature of fractional differential ... See full document

11

2. Oscillation Criteria For Even-Order Nonlinear Neutral Differential Equations of Mixed Type

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

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4. Oscillation Criteria for a Class of Second Order Nonlinear
Differential Equations with Damping

4. Oscillation Criteria for a Class of Second Order Nonlinear Differential Equations with Damping

... the oscillation of solutions for different classes of second order dif- ferential ...the oscillation problem for ...the nonlinear equations with damping ... See full document

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Oscillation criteria for a class of higher odd order neutral difference equations with continuous variable

Oscillation criteria for a class of higher odd order neutral difference equations with continuous variable

... Difference equations have attracted a great deal of attention of researchers in mathematics, biology, physics, and ...for oscillation of the solutions has been investigated ... See full document

17

Oscillation results for second order nonlinear neutral differential equations

Oscillation results for second order nonlinear neutral differential equations

... We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the ... See full document

13

Oscillation criteria for a certain second order nonlinear perturbed differential equations

Oscillation criteria for a certain second order nonlinear perturbed differential equations

... In this paper, a class of second-order nonlinear perturbed differential equation and its special cases are studied. By using the generalized Riccati transformation and well-known techniques, some new ... See full document

12

Oscillation Theorems for a Class of Nonlinear Second Order Differential Equations with Damping

Oscillation Theorems for a Class of Nonlinear Second Order Differential Equations with Damping

... An important method in the study of oscillatory be- haviour for Equations (1.1)-(1.4) is the averaging tech- nique which comes from the classical results of Wintner [19] and Hartman [18]. Using the generalized ... See full document

8

Oscillation Criteria for Second Order Nonlinear Neutral Delay Differential Equations

Oscillation Criteria for Second Order Nonlinear Neutral Delay Differential Equations

... a class of function H ∈ H and a generalized Riccati transformation technique, Rogovchenko and Tuncay studied the oscillation of ...the class H ... See full document

23

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

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

... a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral ...noncanonical neutral differential equations. New oscillation ... See full document

9

New criteria for oscillation of nonlinear neutral differential equations

New criteria for oscillation of nonlinear neutral differential equations

... r u γ –1 u (t) + q y(σ ) β–1 y(σ ) (t) = 0 (1.4) have been considered. Liu et al. [23] studied the oscillation properties for (1.4) under the conditions γ ≥ β , r (t) > 0, and σ (t) > 0. Zeng et al. [30] ... See full document

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New Oscillation Criteria for the Second Order Nonlinear Differential Equations with Damping

New Oscillation Criteria for the Second Order Nonlinear Differential Equations with Damping

... a class of second-order nonlinear differential equations with damping ...new oscillation criteria are obtained for every solution of the equations to be oscil- latory, ... See full document

7

Oscillation criteria of fractional differential equations

Oscillation criteria of fractional differential equations

... ential equations of fractional order and to the necessity to solve such ...tional differential equations are generalizations of classical differential equations of integer order and ... See full document

10

Oscillation of second order nonlinear delay differential equations with nonpositive neutral coefficients

Oscillation of second order nonlinear delay differential equations with nonpositive neutral coefficients

... Remark . We establish two classes of oscillation criteria for (.) without requiring the restrictive conditions (.). Note that these results are based on the assumption (.) and, as fairly noticed by ... See full document

7

Oscillation Criteria For Third-Order Nonlinear Neutral Delay Dynamic Equations On Time Scales

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

6

Oscillation Properties of Third Order Neutral Delay Differential Equations

Oscillation Properties of Third Order Neutral Delay Differential Equations

... By using Riccati transformation technique, we established sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tends to zero. ... See full document

9

Oscillation criteria for second order nonlinear neutral difference equations of mixed type

Oscillation criteria for second order nonlinear neutral difference equations of mixed type

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the ... See full document

10

Oscillation and nonoscillation properties for a kind of nonlinear neutral impulsive delay differential systems

Oscillation and nonoscillation properties for a kind of nonlinear neutral impulsive delay differential systems

... Donev; Oscillation criteria for the solutions of a first order neutral nonconstant delay impulsive differential equations with variable coefficients, ...and oscillation of the ... See full document

13

Oscillation criteria for even order neutral differential equations with distributed deviating arguments

Oscillation criteria for even order neutral differential equations with distributed deviating arguments

... of oscillation of differential equation has been the subject of many papers [1– ...the oscillation theory of the nth-order equations with delay and advanced argument, see [4–12, 23, 25, 27, 28, ... See full document

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