Solutions of Smooth Nonlinear Partial Differential Equations by Jan Harm van der Walt

“…The method of order completion provides a general and type-independent theory for the existence and basic regularity of the solutions of large classes of systems of nonlinear partial differential equations (PDEs). Recently, the application of convergence spaces to this theory resulted in a significant improvement upon the regularity of the solutions and provided new insight into the structure of solutions. …”
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Realization of operator expressions for the solutions of differential equations by Liepa Bikulčienė

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Asymptotic Stability of Differential Equations with Infinite Delay by D. Piriadarshani, T. Sengadir

“…A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.…”
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On simplification system of partial differential equations with variable by Donatas Jurgaitis

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A model for asymmetrical cell division by Ali Ashher Zaidi, Bruce Van Brunt, Graeme Charles Wake

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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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theta-scheme for solving Caputo fractional differential equations by Thai Son Doan, Phan Thi Huong, Peter E. Kloeden

Subjects: “…caputo fractional differential equations…”
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Numerical implementation of a stochastic differential equation of motion by Saúl Moisés Torres Murga

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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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Oscillation criteria for perturbed half-linear differential equations by Manabu Naito

Subjects: “…half-linear differential equation…”
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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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