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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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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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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Numerical simulation of fuzzy fractional differential equations using a reliable technique by Shreya Mukherjee, Amit Kumar, Samaresh Kumbhakar

Subjects: “…fuzzy fractional differential equations…”
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On Nonseparated Three-Point Boundary Value Problems for Linear Functional Differential Equations by A. Rontó, M. Rontó

“…For a system of linear functional differential equations, we consider a three-point problem with nonseparated boundary conditions determined by singular matrices. …”
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Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions by Qi Wang, Yanping Guo, Yude Ji

“…This paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions. …”
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Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods by Dialla Konate

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Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations by Saeed M. Ali, Wasfi Shatanawi, Mohammed D. Kassim, Mohammed S. Abdo, S. Saleh

“…In this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. …”
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Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations by Bing Song, Lijun Pan, Jinde Cao

“…International Journal of Differential Equations…”
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Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse by Zhenguo Luo, Liping Luo, Yunhui Zeng

“…By using a fixed point theorem of strict-set-contraction, which is different from Gaines and Mawhin's continuation theorem and abstract continuation theory for k-set contraction, we established some new criteria for the existence of positive periodic solution of the following generalized neutral delay functional differential equation with impulse: x'(t)=x(t)[a(t)-f(t,x(t),x(t-τ1(t,x(t))),…,x(t-τn(t,x(t))),x'(t-γ1(t,x(t))),…,x'(t-γm(t,x(t))))],  t≠tk,  k∈Z+;  x(tk+)=x(tk-)+θk(x(tk)),  k∈Z+. …”
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