Neutral Operator and Neutral Differential Equation [PDF]
Abstract and Applied Analysis, 2011 In this paper, we discuss the properties of the neutral operator (Ax)(t)=x(t)−cx(t−δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of ...
Jingli Ren, Zhibo Cheng, Stefan Siegmund
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A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
Mathematics, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan +2 more
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Oscillation theorems of solution of second-order neutral differential equations
AIMS Mathematics, 2021 In this paper, we aim to explore the oscillation of solutions for a class of second-order neutral functional differential equations. We propose new criteria to ensure that all obtained solutions are oscillatory.
Ali Muhib +3 more
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Lie symmetry analysis of fractional ordinary differential equation with neutral delay
AIMS Mathematics, 2021 In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group ...
Yuqiang Feng, Jicheng Yu
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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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Neutral set differential equations [PDF]
Czechoslovak Mathematical Journal, 2015 The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type {DHX(t)= F(t,Xt,DHXt), where F: [0, b] x Co x 4-) K(E) is a given function, K(E) is the family of all nonempty compact and convex subsets of a separable Banach space E, Co denotes the space of all continuous ...
Abbas, Umber +3 more
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Almost periodic solutions of $N$-th order neutral differential difference equations with piecewise constant arguments [PDF]
, 2013 In this paper, we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation ...
Zhuang, Rong-Kun
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Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation
Journal 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
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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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Positive Periodic Solution for Neutral-Type Integral Differential Equation Arising in Epidemic Model
Mathematics, 2023 This paper is devoted to investigating a class of neutral-type integral differential equations arising in an epidemic model. By using Mawhin’s continuation theorem and the properties of neutral-type operators, we obtain the existence conditions for ...
Qing Yang +4 more
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