Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations by Zhongwei Cao, Chengjun Yuan, Xiuling Li

“…We study the existence of positive periodic solutions of second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. …”
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The Extended Trial Equation Method for Some Time Fractional Differential Equations by Yusuf Pandir, Yusuf Gurefe, Emine Misirli

“…Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. …”
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Some Existence Results for a System of Nonlinear Fractional Differential Equations by Eskandar Ameer, Hassen Aydi, Hüseyin Işık, Muhammad Nazam, Vahid Parvaneh, Muhammad Arshad

“…This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. Some examples and consequences are also given.…”
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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations by Özkan Güner, Adem C. Cevikel

“…We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. …”
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Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations by Yunfei Zhang, Minghe Pei

“…In this paper, we study the existence of periodic solutions to nonlinear fully third-order differential equation x‴+ft,x,x′,x″=0,t∈ℝ≔−∞,∞, where f:ℝ4⟶ℝ is continuous and T-periodic in t. …”
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An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations by S. J. Kayode

“…The purpose of this paper is to produce an efficient zero-stable numerical method with the same order of accuracy as that of the main starting values (predictors) for direct solution of fourth-order differential equations without reducing it to a system of first-order equations. …”
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ON THE EQUIVALENCE OF DELAYED ARGUMENTS AND TRANSFER EQUATIONS FOR MODELING DYNAMIC SYSTEMS by V. A. Likhoshvai, T. M. Khlebodarova

Subjects: “…ordinary differential equations…”
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Transcendentality of zeros of higher dereivatives of functions involving Bessel functions by Lee Lorch, Martin E. Muldoon

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Modelling periodic oscillations during somitogenesis by Peng Feng, Menaka Navaratna

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On the interaction between the immune system and an exponentially replicating pathogen by Alberto d'Onofrio

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Bacteriophage-resistant and bacteriophage-sensitive bacteria in a chemostat by Zhun Han, Hal L. Smith

Subjects: “…delay differential equations.…”
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Basic stochastic models for viral infection within a host by Sukhitha W. Vidurupola, Linda J. S. Allen

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A method for analyzing the stability of the resting state for a model ofpacemaker cells surrounded by stable cells by Robert Artebrant, Aslak Tveito, Glenn T. Lines

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Almost periodic solutions for Abel equations by Zeng Weiyao, Shi Jinlin, Lin Zhensheng, Lokenath Debnath

Subjects: “…Abel differential equations…”
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Possible Intervals for T- and M-Orders of Solutions of Linear Differential Equations in the Unit Disc by Martin Chuaqui, Janne Gröhn, Janne Heittokangas, Jouni Rättyä

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The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations by Juan Pablo Pinasco

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Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems by Qi Wang, Jiechang Wen

“…This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. The exponential θ-method is applied to p′(t)=β0ωμp(t−τ)/(ωμ+pμ(t−τ))−γp(t) and it is shown that the exponential θ-method has the same order of convergence as that of the classical θ-method. …”
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Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance by Bingzhi Sun, Shuqin Zhang, Weihua Jiang

“…We establish novel results on the existence of impulsive problems for fractional differential equations with functional boundary value conditions at resonance with dim⁡Ker L=1. …”
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Fractional Brownian Motion for a System of Fuzzy Fractional Stochastic Differential Equation by Kinda Abuasbeh, Ramsha Shafqat

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Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations by Josef Diblík, Josef Rebenda, Zdeněk Šmarda

“…The results generalize some previous ones on singular initial value problems for differential equations.…”
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