Results 101 to 110 of about 45,401 (204)

The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations

Abstract and Applied Analysis, 2013
Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations
Xiaofeng Zong, Fuke Wu, Chengming Huang
doaj   +1 more source

Investigating Oscillatory Behavior in Third-Order Neutral Differential Equations with Canonical Operators

In this study, we aim to set new criteria regarding the asymptotic behavior of the neutral differential equation of the third order. These criteria are designed to ensure that this equation is oscillatory using comparisons with first-order differential ...
Abdulaziz Khalid Alsharidi, Ali Muhib
core   +1 more source

Oscillation theorems for neutral differential equations with the quasi-derivatives [PDF]

, 1994
summary:The authors study the n-th order nonlinear neutral differential equations with the quasi – derivatives $L_n[x(t)+(-1)^r P(t) x(g(t))]+\delta Q(t) f(x(h(t))) = 0,$ where $\ n \ge 2,\ r \in \lbrace 1,2\rbrace ,\ $ and $ \delta = \pm 1.$ There are ...
Růžičková, M., Špániková, E.
core  

On the Existence and Uniqueness of Solutions for Neutral-Type Caputo Fractional Differential Equations with Iterated Delays: Hyers–Ulam–Mittag–Leffler Stability

Mathematics
This study investigates nonlinear Caputo-type fractional differential equations with iterated delays, focusing on the neutral type. Initially formulated by D.
Ekaterina Madamlieva, Mihail Konstantinov   +1 more
doaj   +1 more source

Explicit stability conditions for neutral type vector functional differential equations. A survey [PDF]

Surveys in Mathematics and its Applications, 2014
This paper is a survey of the recent results of the author on the stability of linear and nonlinear neutral type functional differential equations. Mainly, vector equations are considered. In particular, equations whose nonlinearities are causal mappings
Michael I. Gil'
doaj  

The distribution of zeros of solutions of neutral differential equations

Hiroshima Mathematical Journal, 1999
The author establishes an estimate for the distance between adjacent zeros of oscillatory solutions to the equation \[ (x(t)+ p(t) x(t-\tau))'+ q(t)x(t-\tau)= 0. \] Those results improve some known results.
openaire   +2 more sources

Bogdanov-Takens bifurcation for neutral functional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
doaj  

Asymptotic and Oscillatory Analysis of Fourth-Order Nonlinear Differential Equations with p-Laplacian-like Operators and Neutral Delay Arguments

This paper delves into the asymptotic and oscillatory behavior of all classes of solutions of fourth-order nonlinear neutral delay differential equations in the noncanonical form with damping terms. This research aims to improve the relationships between
Hamdy El-Metwally, Wedad Albalawi, Fahd Masood, Mansour Alatwi, Osama Moaaz   +4 more
core   +1 more source

Oscillation of higher-order quasi-linear neutral differential equations

Advances in Difference Equations, 2011
In this note, we establish some oscillation criteria for certain higher-order quasi-linear neutral differential equation. These criteria improve those results in the literature. Some examples are given to illustrate the importance of our results.
Xing Guojing, Li Tongxing, Zhang Chenghui   +2 more
doaj  

Oscillation and asymptotic properties of a class of second-order Emden-Fowler neutral differential equations. [PDF]

Springerplus, 2016
Wang R, Li Q.
europepmc   +1 more source