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Asymptotic behaviour of solutions to certain nonlinear third order neutral functional differential equation [PDF]

open access: yesHeliyon, 2021
This paper presents asymptotic behaviour of solution to certain nonlinear nonautonomous neutral functional differential equation of the third order. The third order functional differential equation is cut back to system of first order and used together ...
Adeleke Timothy Ademola
doaj   +2 more sources

Stability Behaviour in Functional Differential Equations of the Neutral Type

open access: yesUniversal Journal of Mathematics and Applications, 2021
In this study, we examine the behavior of solutions of the neutral functional differential equations. Using a suitable real root of the corresponding characteristic equation, the asymptotic behavior of the solutions and the stability of the trivial ...
Ali Fuat Yeniçerioğlu   +2 more
doaj   +1 more source

Weighted Fractional Neutral Functional Differential Equations [PDF]

open access: yesJournal of Siberian Federal University. Mathematics & Physics, 2018
Summary: In this paper, we consider a weighted neutral functional differential equation of fractional order ...
Abdo, Mohammed S., Panchal, Satish K.
openaire   +2 more sources

Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation

open access: yesJournal of Function Spaces, 2023
In this paper, we investigate a class of a third-order neutral-type differential equation with time-varying delays. Some sufficient conditions on the existence of a periodic solution are established for the considered system.
Axiu Shu, Bo Du
doaj   +1 more source

Oscillations for Neutral Functional Differential Equations [PDF]

open access: yesThe 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
openaire   +3 more sources

Positive periodic solutions of a neutral functional differential equation with multiple delays [PDF]

open access: yesMathematica Bohemica, 2018
This paper deals with the existence of positive $ømega$-periodic solutions for the neutral functional differential equation with multiple delays (u(t)-cu(t-\delta))'+a(t) u(t)=f(t, u(t-\tau_1), \cdots, u(t-\tau_n)).
Yongxiang Li, Ailan Liu
doaj   +1 more source

Existence of solutions for quasilinear random impulsive neutral differential evolution equation

open access: yesArab Journal of Mathematical Sciences, 2018
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
doaj   +1 more source

Investigation of the Oscillatory Properties of Solutions of Differential Equations Using Kneser-Type Criteria

open access: yesAxioms, 2023
This study investigates the oscillatory properties of a fourth-order delay functional differential equation. This study’s methodology is built around two key tenets.
Yousef Alnafisah, Osama Moaaz
doaj   +1 more source

Attractivity for neutral functional differential equations

open access: yesDiscrete & 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
openaire   +3 more sources

Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator

open access: yesJournal of Function Spaces, 2021
In this paper, a new class of a neutral functional delay differential equation involving the generalized ψ-Caputo derivative is investigated on a partially ordered Banach space. The existence and uniqueness results to the given boundary value problem are
Abdellatif Boutiara   +5 more
doaj   +1 more source

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