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delay differential equation

A delay differential equation model of mealybugs and green lacewings

A delay differential equation model of mealybugs and green lacewings

... A delay differential equation model of mealybugs and green lacewings Jankaew et al Advances in Difference Equations (2019) 2019 283 https //doi org/10 1186/s13662 019 2226 x R E S E A R C H Open Acces[.] ...

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Homotopy Continuation for Characteristic Roots of Delay Differential Equation

Homotopy Continuation for Characteristic Roots of Delay Differential Equation

... Ordinary differential equations (ODEs) have been used as a fundamental tool of the mathematical modeler for long ...functional differential equation(FDE), which includes all DDEs, includes both the ...

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Three ways of treating a linear delay differential equation

Three ways of treating a linear delay differential equation

... appearance, delay-differential equations (DDEs) have several features that make their analysis a challenging ...a delay-differential equation (DDE) by use of a perturbation method, one ...

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Extinction of a delay differential equation model of plankton allelopathy

Extinction of a delay differential equation model of plankton allelopathy

... a delay differential equation model of the growth of two-species competitive plankton with one toxin producing phytoplankton is studied in this ...a delay differential equation ...

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The Bezier Control Points Method for Solving Delay Differential Equation

The Bezier Control Points Method for Solving Delay Differential Equation

... Points; Delay Differential Equation; Residual Function; Boundary Value Problem; Proportional Delays ...Introduction Delay differential equations are type of differential equa- ...

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New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation

New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation

... The idea of nonoscillation criteria of linear delay differential equation has appeared as early in the works of O. Arino [1]. Now a days, peoples’ concentration has been directed towards the ...

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Explicit Multistep Block Method for Solving Neutral Delay Differential Equation

Explicit Multistep Block Method for Solving Neutral Delay Differential Equation

... neutral delay differential equation (NDDE) of constant delay type by applying explicit ...The delay solutions of the unknown function will be interpolated using previous values and the ...

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AN ABSTRACT DELAY-DIFFERENTIAL EQUATION MODELLING SIZE DEPENDENT CELL GROWTH AND DIVISION*

AN ABSTRACT DELAY-DIFFERENTIAL EQUATION MODELLING SIZE DEPENDENT CELL GROWTH AND DIVISION*

... structured populations, cell cycle, first order partial differential equation with delay and transformed argument, delay-differential equation in a Banach space, strongly c[r] ...

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Fuzzy Delay Differential Equation in Predator-Prey Interaction: Analysis on Stability of Steady State

Fuzzy Delay Differential Equation in Predator-Prey Interaction: Analysis on Stability of Steady State

... Fuzzy Delay Differential Equation in Predator-Prey Interaction: Analysis on Stability of Steady State Normah Maan, Khabat Barzinji, and Nor’aini ...fuzzy delay predator-prey (FDPP) system is ...

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A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man

A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man

... a delay differential equation mathematical model which improves on earlier simpler models by taking into account observed experimental ...time delay this equilibrium is unstable, but as the ...

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Asymptotic behavior of an odd-order delay differential equation

Asymptotic behavior of an odd-order delay differential equation

... odd-order; delay differential equation; oscillation 1 Introduction Professor Ivan Kiguradze is widely recognized as one of the leading contemporary ex- perts in the qualitative theory of ordinary differential ...

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Invariant curves for a delay differential equation with a piecewise constant argument

Invariant curves for a delay differential equation with a piecewise constant argument

... of () when g is linear. In this paper all the invariant curves of the planar mapping G are given including the linear and nonlinear ones when g is linear. 2 Main results We discuss invariant curves of the form y = f (x) ...

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Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ...

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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

... Abstract The objective of this paper is to study asymptotic nature of a class of third-order neutral delay differential equations. By using a generalized Riccati substitution and the integral averaging technique, a ...

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Representation of solution for a linear fractional delay differential equation of Hadamard type

Representation of solution for a linear fractional delay differential equation of Hadamard type

... fractional delay differential equation of Hadamard ...Mittag-Leffler delay matrix functions with logarithmic functions and analyzing their properties, we derive the representation of solutions via the ...

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On stability regions of the modified midpoint method for a linear delay differential equation

On stability regions of the modified midpoint method for a linear delay differential equation

... Abstract The paper deals with stability regions of a certain discretization of a linear differential equation with constant delay. The main aim of the paper is to analyze the regions of asymptotic stability ...

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On stability and boundedness of solutions of a certain 
			fourth order delay differential equation

On stability and boundedness of solutions of a certain fourth order delay differential equation

... Using a Razumikhin type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differen[r] ...

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Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

... Delay differential equations have received increasing attention during recent years since these equa- tions have been proved to be valuable tools in the modeling of many phenomena in various fields of ...

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Multiple periodic solutions to a class of nonautonomous second-order delay differential equation

Multiple periodic solutions to a class of nonautonomous second-order delay differential equation

... In the past several years, some results on the existence of periodic solutions for the func- tional differential equation have been obtained by the critical point theory (see [–]). However, most of these ...

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Large time behavior of a linear delay differential equation with asymptotically small coefficient

Large time behavior of a linear delay differential equation with asymptotically small coefficient

... adjoint equation and the initial ...Bruijn equation, x (t) = – x(t–1) t , t ≥ 1, our result yields an explicit asymptotic representation of the solutions as t → ...

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