Results 21 to 30 of about 46,797 (304)

Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations

open access: yesFractal 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
doaj   +1 more source

Global Boundedness for a Delay Differential Equation [PDF]

open access: yesTransactions of the American Mathematical Society, 1986
The inequality ( ∂ t u − Δ u ) ( t , x ) ≤ u ( t , x ) ( 1 − u ( t − τ , x ) )
openaire   +1 more source

Application of Legendre spectral-collocation method to delay differential and stochastic delay differential equation

open access: yesAIP 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
doaj   +1 more source

Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities

open access: yesElectronic 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
doaj   +1 more source

Oscillation tests for first-order linear differential equations with non-monotone delays

open access: yesAdvances 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
doaj   +1 more source

Delay differential logistic equation with harvesting

open access: yesMathematical and Computer Modelling, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leonid Berezansky   +2 more
openaire   +1 more source

Fractional-Step Method with Interpolation for Solving a System of First-Order 2D Hyperbolic Delay Differential Equations

open access: yesComputation, 2023
In this article, we consider a delayed system of first-order hyperbolic differential equations. The presence of the delay term in first-order hyperbolic delay differential equations poses significant challenges in both analysis and numerical solutions ...
Karthick Sampath   +2 more
doaj   +1 more source

New multi-mode delay differential equation model for lasers with optical feedback [PDF]

open access: yes, 2016
In this paper, we discuss the relations between the spatially-distributed traveling wave, Lang–Kobayashi, and a new multi-mode delay differential equation models for Fabry–Perot type semiconductor diode lasers with an external optical feedback. All these
Radziunas, Mindaugas
core   +1 more source

Asymptotics of Solutions to a Differential Equation with Delay and Nonlinearity Having Simple Behaviour at Infinity [PDF]

open access: yes, 2022
In this paper, we study nonlocal dynamics of a nonlinear delay differential equation. This equation with different types of nonlinearities appears in medical, physical, biological, and ecological applications.
Alexandra Kashchenko
core   +1 more source

Kamenev-Type Asymptotic Criterion of Fourth-Order Delay Differential Equation

open access: yesFractal and Fractional, 2020
In this paper, we obtain necessary and sufficient conditions for a Kamenev-type oscillation criterion of a fourth order differential equation of the form r 3 t r 2 t r 1 t y ′ t ′ ′ ′ + q t f y &
Omar Bazighifan
doaj   +1 more source

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