Results 41 to 50 of about 45,401 (204)

Oscillations of Second-Order Neutral Impulsive Differential Equations

open access: yesJournal of Inequalities and Applications, 2010
Necessary and sufficient conditions are established for oscillation of second-order neutral impulsive differential equation [y(t)+py(t-τ)]′′+qy(t-σ)=0, t≠tk, Δ(y′(tk)+py′(tk-τ))+q1y ...
Jin-Fa Cheng, Yu-Ming Chu
doaj   +2 more sources

Collocation schemes for periodic solutions of neutral delay differential equations

open access: yes, 2005
We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE   +8 more
core   +1 more source

A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process

open access: yesMathematics, 2023
Conditions for the existence and uniqueness of mild solutions for a system of semilinear impulsive differential equations with infinite fractional Brownian movements and the Wiener process are established.
Abdelkader Moumen   +4 more
doaj   +1 more source

Oscillations of higher order neutral differential equations [PDF]

open access: yesJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1992
AbstractConsider the nth-order neutral differential equation where n ≥ 1, δ = ±1, I, K are initial segments of natural numbers, pi, τi, σk ∈ R and qk ≥ 0 for i ∈ I and k ∈ K. Then a necessary and sufficient condition for the oscillation of all solutions of (E) is that its characteristic equation has no real roots.
Bilchev, S. J.   +2 more
openaire   +3 more sources

New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order

open access: yes, 2020
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this ...
Dumitru Baleanu, Ali Muhib, Osama Moaaz
core   +1 more source

Oscillation of Even-Order Neutral Delay Differential Equations

open access: yesAdvances in Difference Equations, 2010
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and .
Zhao Ping   +3 more
doaj   +2 more sources

Nonlinear Differential Equations and Dynamical Systems [PDF]

open access: yes, 2021
This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse ...

core   +1 more source

Emden–Fowler-type neutral differential equations: oscillatory properties of solutions

open access: yesAdvances in Difference Equations, 2021
In this paper, we study the oscillation of a class of fourth-order Emden–Fowler delay differential equations with neutral term. Using the Riccati transformation and comparison method, we establish several new oscillation conditions.
Omar Bazighifan, Alanoud Almutairi
doaj   +1 more source

Oscillations in Higher-Order Neutral Differential Equations

open access: yesCanadian Journal of Mathematics, 1993
AbstractConsider the n-th order (n ≥ 1 ) neutral differential equation where σ1 < σ 2 < ∞ and μ and η are increasing real-valued functions on [Ƭ1, Ƭ2] and [σ1, σ2] respectively. The function μ is assumed to be not constant on [Ƭ1, Ƭ2] and [Ƭ1, Ƭ2] for every Ƭ ∈ (Ƭ1, Ƭ2) similarly, for each σ ∈ (σ1, σ2), it is supposed that r\ is not constant on
Philos, C. G.   +2 more
openaire   +3 more sources

Asymptotic Behavior of Solutions of the Third Order Nonlinear Mixed Type Neutral Differential Equations

open access: yes, 2020
The objective of our paper is to study asymptotic properties of the class of third order neutral differential equations with advanced and delayed arguments. Our results supplement and improve some known results obtained in the literature. An illustrative
Dimplekumar Chalishajar   +2 more
core   +1 more source

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