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Oscillations for Neutral Functional Differential Equations [PDF]
The Scientific World Journal, 2014 We will consider a class of neutral functional differential equations. Some infinite integral conditions for the oscillation of all solutions are derived. Our results extend and improve some of the previous results in the literature.
Fatima N. Ahmed +3 more
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Attractivity for Neutral Functional Differential Equations [PDF]
Discrete & 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.
Caraballo Garrido, Tomás, Kiss, Gábor
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Oscillation of Nonlinear Neutral Delay Differential Equations [PDF]
Journal of Applied Mathematics and Computing, 2008 2000 Mathematics Subject Classification: 34K15, 34C10.In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C ...
Elabbasy, E. M., Hassan, T. S.
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Oscillation of Third-Order Neutral Delay Differential Equations [PDF]
Abstract and Applied Analysis, 2012 The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [a(t)(b(t)(x(t)+p(t)x(σ(t)))′)′]′+q(t)x(τ(t))=0. Some oscillatory and asymptotic criteria are presented.
Tongxing Li +2 more
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Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula Mathematica, 2022 This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
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Delay-dependent input-output stability conditions for non-autonomous neutral type differential equations in a Banach space [PDF]
Mathematica Moravica, 2022 In a Banach space we consider a class of linear non-autonomous neutral type differential equations with several delays. For the considered equations we derive explicit delay-dependent input-output stability conditions.
Gil Michael
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Mathematics, 2021 The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Rongrong Guo, Qingdao Huang, Qingmin Liu
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Mathematics, 2023 This work aims to derive new inequalities that improve the asymptotic and oscillatory properties of solutions to fourth-order neutral differential equations.
O. Moaaz, Clemente Cesarano, B. Almarri
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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
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Mathematics, 2023 In this paper, we investigate the asymptotic properties of third-order nonlinear neutral differential equations with mixed nonlinearities using the comparison principle. Our results not only vastly improve upon but also broadly generalize many previously
T. Hassan, B. El-Matary
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