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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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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Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum” by Peiguang Wang, Xiaojing Liu, Qing Xu

“…This paper establishes a criterion on integral φ0-stability in terms of two measures for impulsive differential equations with “supremum” by using the cone-valued piecewise continuous Lyapunov functions, Razumikhin method, and comparative method. …”
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Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative by Leila Sajedi, Nasrin Eghbali, Hassen Aydi

“…In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. …”
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On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays by Qiang Li, Yongxiang Li

“…The existence results of positive ω-periodic solutions are obtained for the second-order functional differential equation with multiple delays u″(t)+a(t)u(t)=f(t,u(t),u(t−τ1(t)),…,u(t−τn(t))), where a(t)∈C(ℝ) is a positive ω-periodic function, f:ℝ×[0,+∞)n+1→[0,+∞) is a continuous function which is ω-periodic in t, and τ1(t),…,τn(t)∈C(ℝ,[0,+∞)) are ω-periodic functions. …”
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Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations by C. Ünlü, H. Jafari, D. Baleanu

“…A modification of the variational iteration method (VIM) for solving systems of nonlinear fractional-order differential equations is proposed. The fractional derivatives are described in the Caputo sense. …”
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Some Existence Results for Impulsive Nonlinear Fractional Differential Equations with Closed Boundary Conditions by Hilmi Ergören, Adem Kiliçman

“…We investigate some existence results for the solutions to impulsive fractional differential equations having closed boundary conditions. …”
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Existence of Solutions for Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions by Jingli Xie, Lijing Duan

“…In this paper, we investigate a class of integral boundary value problems of fractional differential equations with a p-Laplacian operator. Existence of solutions is obtained by using the fixed point theorem, and an example is given to show the applicability of our main result.…”
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Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator by Abdellatif Boutiara, Mohammed M. Matar, Mohammed K. A. Kaabar, Francisco Martínez, Sina Etemad, Shahram Rezapour

“…In this paper, a new class of a neutral functional delay differential equation involving the generalized ψ-Caputo derivative is investigated on a partially ordered Banach space. …”
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Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model by Houyu Zhao

“…We study the existence of analytic solutions of a functional differential equation (z(s)+α)2z'(s)=β(z(s+z(s))-z(s)) which comes from traffic flow model. …”
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Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow by F. Talay Akyildiz, K. Vajravelu

“…Differential Equations and Nonlinear Mechanics…”
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Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative by You-Hui Su, Weili Wu, Xingjie Yan

“…We all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. …”
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Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions by Abeer M. Al-Bugami

“…In this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. …”
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