Optimal Combination of EEFs for the Model Reduction of Nonlinear Partial Differential Equations by Jun Shuai, Xuli Han

“…However, the neglectful modes representing only a tiny amount of energy will be crucial in the modeling for certain type of nonlinear partial differential equations (PDEs). In this paper, an optimal combination of EEFs is proposed for model reduction of nonlinear partial differential equations (PDEs), obtained by the basis function transformation from the initial EEFs. …”
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Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations by D. Baleanu, H. Mohammadi, Sh. Rezapour

“…We investigate the existence and multiplicity of positive solutions for the nonlinear fractional differential equation initial value problem D0+αu(t)+D0+βu(t)=f(t,u(t)), u(0)=0, 0<t<1, where 0<β<α<1, D0+α is the standard Riemann-Liouville differentiation and f:[0,1]×[0,∞)→[0,∞) is continuous. …”
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On the Oscillation of Even-Order Nonlinear Differential Equations with Mixed Neutral Terms by Mohammed K. A. Kaabar, Said R. Grace, Jehad Alzabut, Abdullah Özbekler, Zailan Siri

“…The oscillation of even-order nonlinear differential equations (NLDiffEqs) with mixed nonlinear neutral terms (MNLNTs) is investigated in this work. …”
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New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations by Quanxin Zhang, Li Gao, Shouhua Liu, Yuanhong Yu

“…This paper discusses oscillatory and asymptotic behavior of solutions of a class of third-order nonlinear functional differential equations. By using the generalized Riccati transformation and the integral averaging technique, three new sufficient conditions which insure that the solution is oscillatory or converges to zero are established. …”
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Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control by Lingling Zhang, Noriaki Yamazaki, Rui Guo

“…We consider positive solutions and optimal control problem for a second order impulsive differential equation with mixed monotone terms. Firstly, by using a fixed point theorem of mixed monotone operator, we study positive solutions of the boundary value problem for impulsive differential equations with mixed monotone terms, and sufficient conditions for existence and uniqueness of positive solutions will be established. …”
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Positive Solutions for a System of Fractional Differential Equations with Two Parameters by Hongyu Li, Junting Zhang

“…In this paper, the existence of positive solutions in terms of different values of two parameters for a system of conformable-type fractional differential equations with the p-Laplacian operator is obtained via Guo-Krasnosel’skii fixed point theorem.…”
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Partial Differential Equations in Zero-Sum Differential Game and Applications on Coronavirus by Abd El-Monem A. Megahed, H. F. A. Madkour

“…We added the time variable to the partial differential equation to see the behaviour of the spreading of Coronavirus. …”
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The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions by Yanli Fu, Huanmin Yao

“…An iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions. …”
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On approximation of the solutions of delay differential equations by using piecewise constant arguments by Istevan Györi

Subjects: “…differential equations of retarded and neutral types…”
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Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays by Yongxiang Li, Qiang Li

“…The existence results of positive ω-periodic solutions are obtained for the third-order ordinary differential equation with delays u′′′(t)+a(t)u(t)=f(t,u(t-τ0),u′(t-τ1),u′′(t-τ2)),t∈ℝ, where a∈C(ℝ,(0,∞)) is ω-periodic function and f:ℝ×[0,∞)×ℝ2→[0,∞) is a continuous function which is ω-periodic in t,and τ0,τ1,τ2 are positive constants. …”
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Existence of Some Semilinear Nonlocal Functional Differential Equations of Neutral Type by Hsiang Liu, Cheng-Wen Liao, Chin-Tzong Pang

“…The obtained results will be applied to a class of functional partial differential equations with nonlocal conditions.…”
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On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations by ElHassan ElJaoui, Said Melliani

“…International Journal of Differential Equations…”
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Oscillation Theorems for Second-Order Nonlinear Neutral Delay Differential Equations by Tongxing Li, Yuriy V. Rogovchenko

“…We analyze the oscillatory behavior of solutions to a class of second-order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature.…”
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On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces by Gaston M. N'Guerekata

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An Existence Result for Second-Order Impulsive Differential Equations with Nonlocal Conditions by Meili Li, Haiqiang Liu

“…The Leray-Schauder alternative is used to investigate the existence of solutions for second-order impulsive differential equations with nonlocal conditions in Banach spaces. …”
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Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations by Ping Yu, Hongju Li, Jian Ding, Yanli Ma

“…In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. The proof of the main result is based on Gatica–Oliker–Waltman fixed-point theorem. …”
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Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions by Adel Al-Rabtah, Shaher Momani, Mohamed A. Ramadan

“…Suitable spline functions of polynomial form are derived and used to solve linear and nonlinear fractional differential equations. The proposed method is applicable for 0<α≤1 and α≥1, where α denotes the order of the fractional derivative in the Caputo sense. …”
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Numerical method for solving the subdiffusion differential equation with nonlocal boundary conditions by Murat A. Sultanov, Vladimir E. Misilov, Makhmud A. Sadybekov

Subjects: “…differential equations…”
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Analytic Solutions of an Iterative Functional Differential Equations Near Regular Points by Lingxia Liu

“…The existence of analytic solutions of an iterative functional differential equation is studied when the given functions are all analytic and when the given functions have regular points. …”
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On Runge–Kutta-type methods for solving multidimensional stochastic differential equations by Jurgis Navikas

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