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

Subjects: “…stochastic differential equation…”
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Discontinuous differential equation for modelling the Antarctic Circumpolar Current by Michal Fečkan, Shan Li, JinRong Wang

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On the Existence of Positive Solutions of a Nonlinear Differential Equation by Sonia Ben Othman, Habib Mâagli, Noureddine Zeddini

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An oscillation criterion for inhomogeneous Stieltjes integro-differential equations by M. A. El-Sayed

Subjects: “…Stieltjes integro-differential equation.…”
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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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New Method for Solving Linear Fractional Differential Equations by S. Z. Rida, A. A. M. Arafa

“…International Journal of Differential Equations…”
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Adaptive integration algorithm for stiff ordinary differential equations by Raimondas Čiegis, Olga Suboč

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Analytic Solution of a Class of Fractional Differential Equations by Yue Hu, Zuodong Yang

“…We consider the analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. …”
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On Solutions to Fractional Iterative Differential Equations with Caputo Derivative by Alemnew Abera, Benyam Mebrate

“…First, the existence and uniqueness of the iterative fractional differential equation cDαcxt=ft,xt,xgxt are presented using the fixed-point theorem by imposing some conditions on f and g. …”
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New Conditions for the Exponential Stability of Nonlinear Differential Equations by Rigoberto Medina

“…We develop a method for proving local exponential stability of nonlinear nonautonomous differential equations as well as pseudo-linear differential systems. …”
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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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On the periodic solutions of linear homogenous systems of differential equations by A. K. Bose

Subjects: “…linear homogeneous system of differential equations…”
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Lyapunov's Type Inequalities for Fourth-Order Differential Equations by Samir H. Saker

“…For a fourth-order differential equation, we will establish some new Lyapunov-type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its derivatives. …”
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Solution of differential equations using sum of exponential functions by Liepa Bikulčienė, Zenonas Navickas

Subjects: “…differential equations…”
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Functional differential equations with infinite delay in Banach spaces by Jin Liang, Tijun Xiao

Subjects: “…functional differential equation with infinite delay…”
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On stochastic differential equations driven by skew stable processes by Henrikas Pragarauskas

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Positive Solutions of Fractional Differential Equation with -Laplacian Operator by Teng Ren, Xiaochun Chen

“…In this paper, we study an ecological model arising from ecological economics by mathematical method, that is, study the existence of positive solutions for the fractional differential equation with -Laplacian operator , , , , , and , where are the standard Riemann-Liouville derivatives, -Laplacian operator is defined as , and the nonlinearity may be singular at both and By finding more suitable upper and lower solutions, we omit some key conditions of some existing works, and the existence of positive solution is established.…”
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The Hyperorder of Solutions of Second-Order Linear Differential Equations by Guowei Zhang

“…We prove that the hyperorder of every nontrivial solution of homogenous linear differential equations of type and nonhomogeneous equation of type is one, where are entire functions of order less than one, improving the previous results of Chen, Wang, and Laine.…”
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Stability Analysis of Distributed Order Fractional Differential Equations by H. Saberi Najafi, A. Refahi Sheikhani, A. Ansari

“…We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. …”
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