Accurate Approximate Solution of Ambartsumian Delay Differential Equation via Decomposition Method by Abdelhalim Ebaid, Asmaa Al-Enazi, Bassam Z. Albalawi, Mona D. Aljoufi

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Positive Solutions for a Higher-Order Nonlinear Neutral Delay Differential Equation by Zeqing Liu, Ming Jia, Jeong Sheok Ume, Shin Min Kang

“…This paper deals with the higher-order nonlinear neutral delay differential equation (dn/dtn)[x(t)+∑i=1mpi(t)x(Ti(t))]+(dn−1/dtn−1)f(t,x(α1(t)),…,x(αk(t)))+h(t,x(β1(t)),…,x(βk(t)))=g(t), t≥to, where n,m,k∈ℕ, pi,τi,βj,g∈C([to,+∞),ℝ), αj∈Cn−1([to,+∞),ℝ), f∈Cn−1([to,+∞)×ℝk,ℝ), h∈C([to,+∞)×ℝk,ℝ), and limt→+∞τi(t)=limt→+∞αj(t)=limt→+∞βj(t)=+∞, i∈{1,2,…,m}, j∈{1,2,…,k}. …”
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On stability and boundedness of solutions of a certain fourth-order delay differential equation by Emmanuel O. Okoronkwo

“…Using a Razumikhin - type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differential equation. The Lyapunov function constructed for an ordinary fourth-order differential equation is seen to work for the delay system.…”
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Oscillation Criteria of First Order Neutral Delay Differential Equations with Variable Coefficients by Fatima N. Ahmed, Rokiah Rozita Ahmad, Ummul Khair Salma Din, Mohd Salmi Md Noorani

“…Some new oscillation criteria are given for first order neutral delay differential equations with variable coefficients. Our results generalize and extend some of the well-known results in the literature. …”
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Pseudo compact almost automorphic solutions to a family of delay differential equations by Zheng Feng-Xia, Li Hong-Xu

Subjects: “…delay differential equations…”
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Asymptotic Behavior and Stability in Linear Impulsive Delay Differential Equations with Periodic Coefficients by Ali Fuat Yeniçerioğlu, Vildan Yazıcı, Cüneyt Yazıcı

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Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients by Fatima N. Ahmed, Rokiah Rozita Ahmad, Ummul Khair Salma Din, Mohd Salmi Md Noorani

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Oscillation analysis of numerical solutions for nonlinear delay differential equations of population dynamics by Jianfang Gao, Minghui Song, Mingzhu Liu

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Applications of the g-Drazin Inverse to the Heat Equation and a Delay Differential Equation by Alrazi Abdeljabbar, Trung Dinh Tran

“…We consider applications of the g-Drazin inverse to some classes of abstract Cauchy problems, namely, the heat equation with operator coefficient and delay differential equations in Banach space.…”
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Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations by Bogdan Căruntu, Constantin Bota

“…We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions for several applications including the pantograph equations and a nonlinear time-delay model from biology. …”
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Numerical solution of stochastic state-dependent delay differential equations: convergence and stability by Bahar Akhtari

“…Abstract Numerical analysis of stochastic delay differential equations has been widely developed but frequently for the cases where the delay term has a simple feature. …”
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Numerical solution of neutral delay differential equations using orthogonal neural network by Chavda Divyesh Vinodbhai, Shruti Dubey

“…Abstract In this paper, an efficient orthogonal neural network (ONN) approach is introduced to solve the higher-order neutral delay differential equations (NDDEs) with variable coefficients and multiple delays. …”
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Delay differential equations with fractional differential operators: Existence, uniqueness and applications to chaos by İrem Akbulut Arık, Seda İğret Araz

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Application of fixed point theory to synaptic delay differential equations in neural networks by Nehad Abduallah Alhajaji, Afrah Ahmad Noman Abdou, Jamshaid Ahmad

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Invariant measures and random attractors of stochastic delay differential equations in Hilbert space by Shangzhi Li, Shangjiang Guo

“…This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. …”
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Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order by Osama Moaaz, Ioannis Dassios, Waad Muhsin, Ali Muhib

“…In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. …”
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The Existence of Periodic Solutions of Delay Differential Equations by E+-Conley Index Theory by Huafeng Xiao

“…In this paper, the E+-Conley index theory has been used to study the existence of periodic solutions of nonautonomous delay differential equations (in short, DDEs). The variational structure for DDEs is built, and the existence of periodic solutions of DDEs is transferred to that of critical points of the associated function. …”
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Analysis of illegal drug transmission model using fractional delay differential equations by Komal Bansal, Trilok Mathur, Narinderjit Singh Sawaran Singh, Shivi Agarwal

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Asymptotic Properties of Solutions to Delay Differential Equations Describing Plankton—Fish Interaction by Maria A. Skvortsova

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Relative Nonlinear Measure Method to Exponential Stability of Impulsive Delayed Differential Equations by Xueli Song, Xing Xin, Huiya Dai, Jigen Peng

“…This paper is devoted to providing a novel method to global exponential stability of impulsive delayed differential equations. By utilizing relative nonlinear measure method, several global exponential stability criteria are presented for the impulsive delayed differential equations. …”
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