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neutral delay-differential system

Stability criteria for neutral delay differential algebraic equations with many delays

Stability criteria for neutral delay differential algebraic equations with many delays

... and neutral FDEs are four main types of functional differential ...and neutral FDEs have more ap- plications in real world ...of delay differential equations (DDEs) and neutral delay ...

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Approximate Controllability of Impulsive Fractional Partial Neutral Quasilinear Functional Differential Inclusions with Infinite Delay in Hilbert Spaces

Approximate Controllability of Impulsive Fractional Partial Neutral Quasilinear Functional Differential Inclusions with Infinite Delay in Hilbert Spaces

... fractional differential and integrodifferential systems in abstract spaces have generated considerable interest among researchers [20], [21] and so ...quasilinear delay integro-differential systems ...

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Approximate controllability of neutral functional differential system with unbounded delay

Approximate controllability of neutral functional differential system with unbounded delay

... unbounded delay has been stud- ied by many ...infinite delay with initial values in an abstract phase ...partial neutral functional differential equations with initial values in phase ...

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Asymptotic behavior of a third order nonlinear neutral delay differential equation

Asymptotic behavior of a third order nonlinear neutral delay differential equation

... As is well known, the third-order differential equations are derived from many different areas of applied mathematics and physics, for instance, deflection of buckling beam with a fixed or variable cross-section, three-layer ...

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A study of controllability of impulsive neutral evolution integro-differential equations with state dependent delay in Banach space

A study of controllability of impulsive neutral evolution integro-differential equations with state dependent delay in Banach space

... constant- delay predictor feedbacks. He showed that when the delay perturbation and its rate have sufficiently small magnitude, the local asymptotic stability of the closed-loop system, ...

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Explicit Multistep Block Method for Solving Neutral Delay Differential Equation

Explicit Multistep Block Method for Solving Neutral Delay Differential Equation

... dynamical system involving time delays have played a very important role in solving real life phenomena with their applications in biological and physiological ...the delay term can be presented as a ...

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Partial neutral functional integro-differential equations of fractional order with delay

Partial neutral functional integro-differential equations of fractional order with delay

... of neutral integro-differential equations of fractional order with ...the system of fractional-order neutral integro-differential equations with fi- nite delay of the ...

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On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments

On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments

... second-order neutral delay differential equations w ith piecewise constant a rgum ents of th e form x"(t) + px "( t - 1) = qx(2[£+-]) + f (t), w here [■] denotes the greatest integ er ...

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On the existence of impulsive neutral evolution differential inclusions with infinite delay

On the existence of impulsive neutral evolution differential inclusions with infinite delay

... impulsive neutral evolution differential equations or inclusions with infinite delay assuming axioms introduced by Hale and Kato has been the subject of many papers; see for example [–], and many ...

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Legendre Gauss collocation methods for nonlinear neutral delay differential equations

Legendre Gauss collocation methods for nonlinear neutral delay differential equations

... We investigate the single-step Legendre-Gauss collocation method in Section . The nu- merical errors decay very rapidly as N and r increase. While the single-step collocation method provides accurate results, it is not ...

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Analytical Algorithm for Systems of Neutral Delay Differential Equations

Analytical Algorithm for Systems of Neutral Delay Differential Equations

... Mathematics differential equation in which the derivative of the unknown function at a cer- tain time is given in terms of the values of the function at previous time ...particular system of such equa- ...

16

Stability of highly nonlinear neutral stochastic differential delay equations

Stability of highly nonlinear neutral stochastic differential delay equations

... The system will switch from one mode to the other according to the probability law of the Markov ...no delay-dependent criterion which can be applied to this NSDDE to derive a sufficient bound on the time- ...

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Approximate controllability of multi-term time-fractional stochastic  differential inclusions with nonlocal conditions

Approximate controllability of multi-term time-fractional stochastic differential inclusions with nonlocal conditions

... time-fractional differential systems fractional order Sobolev- type stochastic integrodifferential systems via measure of non- compactness in order to drop the compactness condition on the operator { S ...

13

On the oscillation of first order neutral delay differential equations 
            with real coefficients

On the oscillation of first order neutral delay differential equations with real coefficients

... of neutral delay differential equations presents com- plications and the results which are true for neutral differential equations may not be true for nonneutral differential ...of neutral ...

5

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

... order neutral nonconstant delay impulsive differential equations with variable coefficients, ...order neutral nonconstant delay impulsive differential equations with variable or ...

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Nonoscillatory solutions for higher order nonlinear neutral delay differential equations

Nonoscillatory solutions for higher order nonlinear neutral delay differential equations

... { , , . . . , n } . Shen and Debnath [] obtained some sufficient conditions for the oscilla- tions of (.) and Luo and Shen [] established a few oscillation and nonoscillation criteria for (.). Liu and Huang [] ...

34

17.Unique solutions for systems of fractional
order differential equations with infinite delay

17.Unique solutions for systems of fractional order differential equations with infinite delay

... Recently, fractional differential equations have been of great interest. For de- tailed discussion on this topic, refer to the monographs of Miller and Ross [5], Podlubny [6], and the papers by Benchohra et ...

6

Oscillation in neutral equations with an “integrally small” coefficient

Oscillation in neutral equations with an “integrally small” coefficient

... YU YUAN--HONG, Oscillation of solutions of neutral delay differential equations,Acta.. On the existence of positive solutions of neutral delay differential equations,Scientia Sinica Seri[r] ...

8

On the Oscillation of Second Order Neutral Delay Differential Equations

On the Oscillation of Second Order Neutral Delay Differential Equations

... Neutral differential equations find numerous applications in natural science and technology. For instance, they are frequently used for the study of distributed networks containing lossless transmission lines; see ...

8

Oscillation of Even Order Neutral Delay Differential Equations

Oscillation of Even Order Neutral Delay Differential Equations

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 184180, 9 pages doi 10 1155/2010/184180 Research Article Oscillation of Even Order Neutral Delay Differential Eq[.] ...

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