Oscillation Criteria for Certain Even Order Neutral Delay Differential Equations by Ruba Al-Hamouri, Ali Zein

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Convergence of Variational Iteration Method for Second-Order Delay Differential Equations by Hongliang Liu, Aiguo Xiao, Lihong Su

“…This paper employs the variational iteration method to obtain analytical solutions of second-order delay differential equations. The corresponding convergence results are obtained, and an effective technique for choosing a reasonable Lagrange multiplier is designed in the solving process. …”
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On approximation of the solutions of delay differential equations by using piecewise constant arguments by Istevan Györi

“…By using the Gronwall Bellman inequality we prove some limit relations between the solutions of delay differential equations with continuous arguments and the solutions of some related delay differential equations with piecewise constant arguments(EPCA). …”
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Oscillation Theorems for Second-Order Nonlinear Neutral Delay Differential Equations by Tongxing Li, Yuriy V. Rogovchenko

“…We analyze the oscillatory behavior of solutions to a class of second-order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature.…”
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Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems by Qi Wang, Jiechang Wen

“…This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. …”
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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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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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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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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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Comparative Study on Numerical Methods for Singularly Perturbed Advanced-Delay Differential Equations by P. Hammachukiattikul, E. Sekar, A. Tamilselvan, R. Vadivel, N. Gunasekaran, Praveen Agarwal

“…In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh. …”
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Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation by Osama Moaaz, Emad E. Mahmoud, Wedad R. Alharbi

“…This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. …”
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Periodicity, Stability, and Boundedness of Solutions to Certain Second Order Delay Differential Equations by A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, O. A. Adesina

“…The behaviour of solutions to certain second order nonlinear delay differential equations with variable deviating arguments is discussed. …”
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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays by Ahmed A. Mahmoud, Sarat C. Dass, Mohana S. Muthuvalu, Vijanth S. Asirvadam

“…This article presents statistical inference methodology based on maximum likelihoods for delay differential equation models in the univariate setting. …”
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Global Attractivity of Positive Periodic Solutions of Delay Differential Equations with Feedback Control by Zhi-Long Jin

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Constructive solution of coupled second order delay differential equations with variable coefficients by R. J. Villanueva, A. Hervas, M. V. Ferrer

“…In this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constrcted. …”
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Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps by Qiyong Li, Siqing Gan

“…This paper is concerned with the stability of analytical and numerical solutions for nonlinear stochastic delay differential equations (SDDEs) with jumps. A sufficient condition for mean-square exponential stability of the exact solution is derived. …”
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Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations by H.Thomas Banks, Danielle Robbins, Karyn L. Sutton

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Derivation and computation of discrete-delayand continuous-delay SDEs in mathematical biology by Edward J. Allen

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Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator by Abdellatif Boutiara, Mohammed M. Matar, Mohammed K. A. Kaabar, Francisco Martínez, Sina Etemad, Shahram Rezapour

“…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. …”
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