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

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... 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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... 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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... 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 Normah Maan, Khabat Barzinji, and Nor’aini ...fuzzy **delay** predator-prey (FDPP) system is ...

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... 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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... 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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... 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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... 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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... 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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... 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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... 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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... 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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... **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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... 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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... 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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