An NPZ Model with State-Dependent Delay due to Size-Structure in Juvenile Zooplankton [PDF]
, 2015 The study of planktonic ecosystems is important as they make up the bottom trophic levels of aquatic food webs. We study a closed Nutrient-Phytoplankton-Zooplankton (NPZ) model that includes size structure in the juvenile zooplankton.
Campbell, S. A. +2 more
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Ain Shams Engineering Journal, 2018 In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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Oscillation criterion for first-order linear differential equations with several delay arguments
Arab Journal of Mathematical Sciences, 2019 By using iterated estimates involving all delay arguments, we establish an oscillation criterion for first-order linear differential equations with several delay arguments.
Hongwu Wu, Julio G. Dix
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A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation [PDF]
, 2009 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Chartbupapan, Watcharin +2 more
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Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform
Mathematics, 2023 The Pantograph equation is a fundamental mathematical model in the field of delay differential equations. A special case of the Pantograph equation is well known as the Ambartsumian delay equation which has a particular application in Astrophysics.
Reem Alrebdi, Hind K. Al-Jeaid
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Properties of the third order trinomial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 The purpose of the paper is to study asymptotic properties of the third-order delay differential equation \begin{equation*} {\left(r_2(t)\left(r_1(t)\left(y'(t)\right)^\gamma\right)'\right)'}+p(t){\left(y'(t)\right)^\gamma}+q(t)f\left(y\left(\tau(t ...
Blanka Baculíková +2 more
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Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is devoted to inhomogeneous Halanay-type inequalities together with inhomogeneous linear delay differential inequalities and equations. Based on the the variation of constants formula and some results borrowed from a recent paper of the ...
István Győri, László Horváth
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Oscillation tests for first-order linear differential equations with non-monotone delays
Advances in Difference Equations, 2021 We study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay.
Emad R. Attia
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Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations
Fractal and Fractional, 2021 In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation.
Osama Moaaz +2 more
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AIP Advances, 2018 Explicit solutions to delay differential equation (DDE) and stochastic delay differential equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve these DDE and SDDE.
Sami Ullah Khan, Ishtiaq Ali
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