Attractivity for neutral functional differential equations
Discrete and Continuous Dynamical Systems - B, 2013 We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional di erential equations with time varying delays. The two main results di er in smoothness properties of delay functions.
Caraballo Garrido, Tomás, Kiss, Gábor
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More Effective Results for Testing Oscillation of Non-Canonical Neutral Delay Differential Equations [PDF]
, 2021 In this work, we address an interesting problem in studying the oscillatory behavior of solutions of fourth-order neutral delay differential equations with a non-canonical operator.
Moaaz, Osama +7 more
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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
, 2011 Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Luo, Qi, Shen, Yi, Mao, Xuerong
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Oscillations of Second-Order Neutral Impulsive Differential Equations
Journal 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
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Periodic solutions of neutral functional differential equations
, 2023 We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R.
Afonso, S. M. [UNESP] +2 more
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Oscillation of Even-Order Neutral Delay Differential Equations
Advances 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
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Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria
, 2023 This paper aims to study a class of neutral differential equations of higher-order in canonical form. By using the comparison technique, we obtain sufficient conditions to ensure that the studied differential equations are oscillatory.
Abdulaziz Khalid Alsharidi +2 more
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On the Oscillation of Impulsive Neutral First-order Differential Equations with Variable Arguments
Journal of Scientific Research in Science, 2022 Throughout the article, we study the oscillation of a general class of first-order neutral differential equations in presence of variable delays under the effect of impulses.
S. Euat Tallah +2 more
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Oscillation and Nonoscillation for Neutral Differential Equations
Journal of Mathematical Analysis and Applications, 1993 A class of neutral differential equations is investigated. The existence of nonoscillatory positive solutions is proved. Sufficient conditions for the existence of oscillatory solutions of this problem are given.
Zhang, B.G., Yu, J.S.
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A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets
Complexity, 2022 An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions ...
Mutaz Mohammad, Alexander Trounev
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