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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Exponential stability for abstract linear autonomous functional differential equations with infinite delay by Jin Liang, Falun Huang, Tijun Xiao

Subjects: “…abstract linear autonomous functional differential equation…”
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On the Parametric Stokes Phenomenon for Solutions of Singularly Perturbed Linear Partial Differential Equations by Stéphane Malek

“…We study a family of singularly perturbed linear partial differential equations with irregular type in the complex domain. …”
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Existence Results for a Coupled System of Nonlinear Fourth-Order Differential Equations by Bessem Samet

“…Sufficient conditions are obtained for the existence of solutions to a coupled system of nonlinear fourth-order differential equations.…”
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A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems by Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, Asghar Ghorbani

“…An efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro-differential equations. The scheme is based on a combination of the spectral collocation technique and the parametric iteration method. …”
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Existence of periodic solutions and homoclinic orbits for third-order nonlinear differential equations by O. Rabiei Motlagh, Z. Afsharnezhad

“…The existence of periodic solutions for the third-order differential equation x¨˙+ω2x˙=μF(x,x˙,x¨) is studied. We give some conditions for this equation in order to reduce it to a second-order nonlinear differential equation. …”
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Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization by Devin Akman, Olcay Akman, Elsa Schaefer

“…Researchers using ordinary differential equations to model phenomena face two main challenges among others: implementing the appropriate model and optimizing the parameters of the selected model. …”
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Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions by S. Agarwal, D. Bahuguna

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Periodic solutions for a class of perturbed sixth-order autonomous differential equations by Chems Eddine Berrehail, Amar Makhlouf

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Least-Squares Residual Power Series Method for the Time-Fractional Differential Equations by Jianke Zhang, Zhirou Wei, Lifeng Li, Chang Zhou

“…In this study, an applicable and effective method, which is based on a least-squares residual power series method (LSRPSM), is proposed to solve the time-fractional differential equations. The least-squares residual power series method combines the residual power series method with the least-squares method. …”
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Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations by Adeyanju A.A., Fabelurin O.O., Akinbo G., Aduroja O.O., Ademola A.T., Ogundiran M.O., Ogundare B.S., Adesina O.A.

“…We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our results. …”
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Stochastic differential equations with bad coefficients: a short note on the weak approximations by Antanas Lenkšas

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Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations by Hui Li, Nana Jin, Yu Zhang

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A representation theorem for the linear quasi-differential equation (py′)′+qy=0 by J. G. O'Hara

“…We establish a representation for q in the second-order linear quasi-differential equation (py′)′+qy=0. We give a number of applications, including a simple proof of Sturm's comparison theorem.…”
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The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations by Yanli Chen, Yongxiang Li

“…We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. …”
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Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations by Hanying Feng, Xiaofeng Zhang

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Stationary in Distributions of Numerical Solutions for Stochastic Partial Differential Equations with Markovian Switching by Yi Shen, Yan Li

“…We investigate a class of stochastic partial differential equations with Markovian switching. By using the Euler-Maruyama scheme both in time and in space of mild solutions, we derive sufficient conditions for the existence and uniqueness of the stationary distributions of numerical solutions. …”
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Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian by Ya-ling Li, Shi-you Lin

“…We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut, 1<t<e, u1=u′1=u′e=0, Dαu1=Dαue=0, where the continuous function f:1,e×0,+∞→[0,+∞), 2<α≤3, 1<β≤2. …”
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On non-oscillation for two dimensional systems of non-linear ordinary differential equations by Zdeněk Opluštil

“…The paper studies the non-oscillatory properties of two-dimensional systems of non-linear differential equations u′=g(t)|v|1αsgnv,v′=−p(t)|u|αsgnu,g:[0,+∞[→[0,+∞[p:[0,+∞[→ℝα>0∫+∞g(s)ds<+∞…”
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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations by Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu

“…This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in the form of a series whose components are computed by applying a recursive relation. …”
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