Nonlinear delay-differential equations with small lag by Manuel Pinto

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On the oscillation of delay differential equations with real coefficients by H. A. Agwo

Subjects: “…Delay differential equations…”
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Moment Lyapunov exponent of delay differential equations by M. S. Fofana

“…It is felt that the connecting thread provides a unified framework for the stability study of delay differential equations in the deterministic and stochastic sense.…”
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Solving Delay Differential Equations by an Accurate Method with Interpolation by Ali Akgül, Adem Kiliçman

“…We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. …”
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Dynamics of Delay Differential Equations with Its Applications 2014 by Chuangxia Huang, Zhiming Guo, Zhichun Yang, Yuming Chen, Fenghua Wen

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Semianalytical Approach for the Approximate Solution of Delay Differential Equations by Xiankang Luo, Mustafa Habib, Shazia Karim, Hanan A. Wahash

“…In this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform method (MHPTM) and performs the solution results in the form of series. …”
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Oscillation of Third-Order Neutral Delay Differential Equations by Tongxing Li, Chenghui Zhang, Guojing Xing

“…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. …”
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Approximate Boundary Controllability for Semilinear Delay Differential Equations by Lianwen Wang

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Approximate Method for Solving the Linear Fuzzy Delay Differential Equations by S. Narayanamoorthy, T. L. Yookesh

“…We propose an algorithm of the approximate method to solve linear fuzzy delay differential equations using Adomian decomposition method. …”
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The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations by Huafeng Xiao, Bo Zheng

“…We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at infinity. …”
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Stability analysis of linear multistep methods for delay differential equations by V. L. Bakke, Z. Jackiewicz

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Stability of Runge-Kutta Methods for Neutral Delay Differential Equations by Liping Wen, Xiong Liu, Yuexin Yu

“…This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. …”
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The Asymptotic Behavior for a Class of Impulsive Delay Differential Equations by Zhichun Yang

“…This paper is concerned with asymptotical behavior for a class of impulsive delay differential equations. The new criteria for determining attracting sets and attracting basin of the impulsive system are obtained by developing the properties of quasi-invariant sets. …”
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Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients by Fatima N. Ahmed, Rokiah R. Ahmad, Ummul K. S. Din, Mohd S. M. Noorani

“…A class of nonlinear neutral delay differential equations is considered. Some new oscillation criteria of all solutions are derived. …”
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On Stability of Linear Delay Differential Equations under Perron's Condition by J. Diblík, A. Zafer

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Analysis of the Fractional-Order Delay Differential Equations by the Numerical Method by Saadia Masood, Muhammad Naeem, Roman Ullah, Saima Mustafa, Abdul Bariq

“…In this study, we implemented a new numerical method known as the Chebyshev Pseudospectral method for solving nonlinear delay differential equations having fractional order. The fractional derivative is defined in Caputo manner. …”
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Higher-Order Dynamic Delay Differential Equations on Time Scales by Hua Su, Lishan Liu, Xinjun Wang

“…We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. …”
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Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations by Şuayip Yüzbaşı, Mehmet Sezer

“…This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations. …”
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses by Peiguang Wang, Yan Xu

“…In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition. …”
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Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations by M. Valizadeh, Y. Mahmoudi, F. Dastmalchi Saei

“…In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. …”
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