A numerical approach for solving Volterra delay integro-differential equation by Ilhame Amirali, Muhammet Enes Durmaz, Gabil M. Amiraliyev

“…In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. …”
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On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions by Aziz Khan, Yongjin Li, Kamal Shah, Tahir Saeed Khan

“…This paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear p-Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed problem. …”
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Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations by M. Valizadeh, Y. Mahmoudi, F. Dastmalchi Saei

“…In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. …”
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Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations by Junwei Liu, Chuanyi Zhang

“…The existence of piecewise almost periodic solutions for impulsive neutral functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. …”
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Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments by Juan J. Nieto, Rosana Rodríguez-López

“…We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. …”
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Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations by Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas

“…Applications to Caputo fractional differential equations with “maxima” are also presented.…”
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Dynamical Aspects of Initial/Boundary Value Problems for Ordinary Differential Equations by Jifeng Chu, Juntao Sun, Patricia J. Y. Wong, Yonghui Xia

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Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments by B. Baculíková

“…The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [𝑎(𝑡)[𝑥″(𝑡)]𝛾]′=𝑞(𝑡)𝑓(𝑥[𝜏(𝑡)])+𝑝(𝑡)ℎ(𝑥[𝜎(𝑡)]). …”
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…International Journal of Differential Equations…”
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Perspectives of Experts in the Selection of Contents for a Course of Differential Equations in Engineering by José Luis Díaz Palencia

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Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations by Zhanbing Bai, Weichen Sun, Weihai Zhang

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The Stochastic Θ-Method for Nonlinear Stochastic Volterra Integro-Differential Equations by Peng Hu, Chengming Huang

“…The stochastic Θ-method is extended to solve nonlinear stochastic Volterra integro-differential equations. The mean-square convergence and asymptotic stability of the method are studied. …”
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Oscillation Criteria of Third-Order Nonlinear Impulsive Differential Equations with Delay by Xiuxiang Liu

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Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments by Minghui Song, M. Z. Liu

“…In this paper, the asymptotic stability of the analytic and numerical solutions for differential equations with piecewise continuous arguments is investigated by using Lyapunov methods. …”
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Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities by Shurong Sun, Tongxing Li, Zhenlai Han, Yibing Sun

“…We study the following second-order neutral functional differential equation with mixed nonlinearities (r(t)|(u(t)+p(t)u(t-σ))'|α-1(u(t)+p(t)u(t-σ))′)′+q0(t)|u(τ0(t))|α-1u(τ0(t))+q1(t)|u(τ1(t))|β-1u(τ1(t))+q2(t)|u(τ2(t))|γ-1u(τ2(t))=0, where γ>α>β>0, ∫t0∞(1/r1/α(t))dt<∞. …”
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Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order by Devaraj Vivek, Elsayed M. Elsayed, Kuppusamy Kanagarajan

Subjects: “…pantograph differential equation…”
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The stability of collocation methods for higher-order Volterra integro-differential equations by Edris Rawashdeh, Dave McDowell, Leela Rakesh

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Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation by Irena Rachůnková, Lukáš Rachůnek

“…Singular differential equation (p(t)u′)′=p(t)f(u) is investigated. …”
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Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity by Xiaohong Hu, Dabin Wang, Changyou Wang

“…By using minimax methods in critical point theory, we obtain the existence of periodic solutions for second-order ordinary differential equations with linear nonlinearity.…”
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Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations by Yige Zhao, Shurong Sun, Zhenlai Han, Qiuping Li

“…We study the existence of positive solutions for the boundary value problem of nonlinear fractional differential equations D0+αu(t)+λf(u(t))=0, 0<t<1, u(0)=u(1)=u'(0)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative, λ is a positive parameter, and f:(0,+∞)→(0,+∞) is continuous. …”
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