Results 1 to 10 of about 11,849 (162)

New Sufficient Conditions for Oscillation of Second-Order Neutral Delay Differential Equations

Axioms, 2021
In this work, new sufficient conditions for the oscillation of all solutions of the second-order neutral delay differential equations with the non-canonical operator are established.
Taher S. Hassan, Osama Moaaz, Amany Nabih, Mouataz Billah Mesmouli, Ahmed M. A. El-Sayed   +4 more
doaj   +3 more sources

On the oscillation criteria for neutral differential equations with several delays. [PDF]

Sci Rep
In this research, we investigate the oscillatory characteristics and asymptotic behavior of second-order neutral differential equations with various delays, which include both superlinear and sublinear terms. We concentrate in particular on the non-canonical form of these equations.
Alqhtani M, Masood F, Saad KM, Bazighifan O.   +3 more
europepmc   +4 more sources

An Efficient Approach for Mixed Neutral Delay Differential Equations

Computation
In this paper, neutral delay differential equations, which contain constant and proportional terms, termed mixed neutral delay differential equations, are solved numerically.
Rupal Aggarwal, Giriraj Methi, Ravi P. Agarwal, Basharat Hussain   +3 more
doaj   +2 more sources

Results on the Behavior of the Solutions for Linear Impulsive Neutral Delay Differential Equations with Constant Coefficients

Communications in Advanced Mathematical Sciences, 2021
We have given some results regarding the behavior of solutions for first order linear impulsive neutral delay differential equations with constant coefficients.
Ali Fuat Yeniçerioğlu
doaj   +1 more source

Modified logistic differential equation of neutral type with time delay

Lietuvos Matematikos Rinkinys, 2003
The following differential equation is considered: N(t) = rN [1 +a( 1 − {N(t)}/K)− {N(t − h) + ρN(t − h)}/K]. The stable periodic solution based on the bifurcation theory of that differential equation is constructed.
Donatas Švitra
doaj   +5 more sources

A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation

Mathematics, 2020
The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan, Ovidiu Bagdasar, Kanit Mukdasai   +2 more
doaj   +1 more source

Oscillation of nonlinear neutral delay differential Equations [PDF]

Journal of Applied Mathematics and Computing, 2006
Sufficient conditions for the oscillation of the first-order nonlinear neutral delay differential equation \[ [x(t)-q(t)x(t-\sigma)]'+f(t,x(\tau(t)))=0 \] are given. The results obtained improve and extend some known results. One example is given to illustrate the results.
Elabbasy, Elmetwally M., Hassan, Taher S., Saker, Samir H.   +2 more
openaire   +1 more source

A Study of the Monotonic Properties of Solutions of Neutral Differential Equations and Their Applications

Axioms, 2023
In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely control the study of the oscillation and ...
Osama Moaaz, Abtehal E. Alhgilan
doaj   +1 more source

Regularization of Neutral Delay Differential Equations with Several Delays

Journal of Dynamics and Differential Equations, 2013
This paper is concerned with the system of neutral delay differential equations \[ \dot{y}(t)=f(y(t), \dot{y}(\alpha_1(y(t))), \cdots, \dot{y}(\alpha_m(y(t))) \text{ for } t>0, \] \[ y(t)=\varphi(t) \text{ for } t\leq 0, \] with smooth functions \(f(y, z_1, z_2, \cdots, z_m)\), \(\varphi(t)\) and \(\alpha_j(t)\).
GUGLIELMI, NICOLA, HAIRER E.
openaire   +8 more sources

Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

Mathematics, 2023
Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
doaj   +1 more source