An Implicit Collocation Method for Direct Solution of Fourth Order Ordinary Differential Equations by B. Alechenu, D.O. Oyewola

“… This paper presented a linear multistep method for solving fourth order initial value problems of ordinary differential equations. Collocation and interpolation methods are adopted in the derivation of the new numerical scheme which is further applied to finding direct solution of fourth order ordinary differentiation equations. …”
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Constructive solution of coupled second order delay differential equations with variable coefficients by R. J. Villanueva, A. Hervas, M. V. Ferrer

“…In this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constrcted. …”
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Extension of successive midpoint scheme for nonlinear differential equations with global nonlocal operators by Abdon Atangana, Seda Igret Araz

“…This research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels. …”
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Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations by Gabil M. Amiraliyev, Aysenur Ucar

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Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps by Qiyong Li, Siqing Gan

“…This paper is concerned with the stability of analytical and numerical solutions for nonlinear stochastic delay differential equations (SDDEs) with jumps. A sufficient condition for mean-square exponential stability of the exact solution is derived. …”
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Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations by Hong-Rui Sun, Ya-Ning Li, Juan J. Nieto, Qing Tang

“…This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. …”
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Blockchain address risk behavior identification algorithm based on neural differential equations by LIANG Fei, WANG Ruili

Subjects: “…neural differential equation…”
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Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation by Chaozhu Hu, Bin Liu, Songfa Xie

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Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations by Farah Suraya Md Nasrudin, Chang Phang

“…Hence, we transform the Prabhakar fractional differential equations into a system of algebraic equations. …”
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Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation by Axiu Shu, Bo Du

“…Our results are new and complement the related results of third-order functional differential equations.…”
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Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses by Kun-Wen Wen, Gen-Qiang Wang, Sui Sun Cheng

“…Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.…”
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Fourth-order differential equations with neutral delay: Investigation of monotonic and oscillatory features by H. Salah, M. Anis, C. Cesarano, S. S. Askar, A. M. Alshamrani, E. M. Elabbasy

Subjects: “…functional differential equation…”
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Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities by Jing Shao, Fanwei Meng, Xinqin Pang

“…Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.…”
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Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations by H.Thomas Banks, Danielle Robbins, Karyn L. Sutton

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Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms by David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr

“…For a wide class of solutions to multiplicatively advanced differential equations (MADEs), a comprehensive set of relations is established between their Fourier transforms and Jacobi theta functions. …”
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On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays by Jaromír Baštinec, Leonid Berezansky, Josef Diblík, Zdeněk Šmarda

“…These conditions improve and extend some known oscillation results in the critical case for delay differential equations.…”
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Runge–Kutta-type methods for solving two-dimensional stochastic differential equations by Jurgis Navikas

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Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales by Peiguang Wang, Weiwei Sun

“…We present a new comparison principle by introducing a notion of upper quasi-monotone nondecreasing and obtain the practical stability criteria for set valued differential equations in terms of two measures on time scales by using the vector Lyapunov function together with the new comparison principle.…”
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Existence and bounds for Kneser-type solutions to noncanonical third-order neutral differential equations by Ganesh Purushothaman, Kannan Suresh, Ethiraju Thandapani, Ercan Tunc

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Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference by Coşkun Yakar

“…The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has been investigated. …”
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