Results 41 to 50 of about 45,401 (204)
Oscillations of Second-Order Neutral Impulsive Differential Equations
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
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
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]
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
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
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]
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
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
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
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

