delay differential equations (DDEs)
Analytical Algorithm for Systems of Neutral Delay Differential Equations
... Delay differential equations (DDEs), as well as neutral delay differential equa- tions (NDDEs), are often used as a fundamental tool to model problems aris- ing from various areas of ...
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Nonlinear delay differential equations with small lag
... Green-Liouville formulae for second order delay differential equations, To appear... Asymptotic integration of the functional differential equation y’t.[r] ...
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Viscosity solutions to delay differential equations in demo economy
... Viscosity solutions to delay differential equations in demo-economy Fabbri, Giorgio.. Online at https://mpra.ub.uni-muenchen.de/5117/ MPRA Paper No.[r] ...
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Notes on oscillation of linear delay differential equations
... Notes on oscillation of linear delay differential equations Dorociakov? et al Advances in Difference Equations (2018) 2018 162 https //doi org/10 1186/s13662 018 1608 9 R E S E A R C H Open Access Not[.] ...
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Differential Transform Method for Some Delay Differential Equations
... of differential transform method is not complete yet, it has been successfully applied to solve ordinary differential equations, partial differential equations, ...
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A review on singular perturbed delay differential equations
... perturbed delay differential equation is an equation in which evolution of system at a certain time depends on the rate at an earlier ...The delay in process arises due to requirement of definite ...
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Generalized sensitivity analysis for delay differential equations
... The delay in this model can represent various naturally occurring phenomena such as the gestation period in a growing population, the life cycle of a parasite, cell cycle delays, ...other delay systems have ...
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Moment Lyapunov exponent of delay differential equations
... Another attractive aspect of pth-moment Lyapunov exponent is its further con- nection with the integral stochastic averaging method. It was Has’minski˘ı [5] and Stratonovich [9] who developed formulas for such a ...
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Oscillation criteria for a class of fractional delay differential equations
... time delay, the topic of fractional- order delay differential equations (FDDEs) is enjoying growing interest among mathe- maticians and ...time delay appears in PD α fractional control system; ...
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On the oscillation of delay differential equations with real coefficients
... [5] G. Ladas, Y. G. Sficas, and I. P. Stavroulakis, Necessary and sufficient conditions for oscilla- tions, Amer. Math. Monthly 90 (1983), no. 9, 637–640. MR 84j:34082. Zbl 526.34054. [6] , Necessary and sufficient conditions ...
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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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On the Oscillation of Second Order Neutral Delay Differential Equations
... φt, t, l 0, φt, l, l 0, and φt, s, l > 0, for l < s < t, and has the partial derivative ∂φ/∂s on E such that ∂φ/∂s is locally integrable with respect to s in E. By choosing the special function φ, it is possible ...
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On delay differential equations with nonlinear boundary conditions
... The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique ...
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Oscillation criteria for third order delay differential equations
... Hence, a great amount of work has been done over the last three decades on the os- cillation theory of third-order differential equations with variable coefficients. The most significant results published up to ...
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On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay
... attracts the attention of many mathematicians because of their significance in applications. In particular, Minorsky 1 in 1962 considered the problem of stabilizing the rolling of a ship by an “activated tanks method” in ...
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On the averaging principle for stochastic delay differential equations with jumps
... Remark . When the time delay δ(t) = t, () will reduce to SDEs with jumps, which have been studied by [–]. In particularly, if p = in (), then we have the mean-square sense convergence of the standard ...
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On the oscillation of fourth order delay differential equations
... The foundations of vibration theory for continuous media established in the first half of the 18th century by the two close collaborators Daniel Bernoulli and Leonard Euler have generated the investigation of linear ...
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Stability for Functional Differential Equations with Delay in Banach Spaces
... neutral delay differential equations appear in modelling of the networks containing lossless transmission lines (as in high-speed computers where the lossless transmission lines are used to ...
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Delayed Forward-Backward stochastic PDE's driven by non Gaussian Lévy noise with application in finance
... Even if we do not aim to give a complete survey of problems, solutions and method related to the study of SDDE’s, we would like to recall at least some of the most relevant approaches recently proposed to analyse such ...
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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] ...
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