A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions by Hamid Lmou, Khalid Hilal, Ahmed Kajouni

“…In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. …”
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Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays

“…The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf bifurcation theorem due to Wu and Bendixson's criterion for high-dimensional ordinary differential equations due to Li and Muldowney. It is shown that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of the sum of two delays. …”
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Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System by Peiguang Wang, Tiantian Kong

“…We study the boundary value problems of second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. …”
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Function Spaces with a Random Variable Exponent by Boping Tian, Yongqiang Fu, Bochi Xu

“…After discussing the properties of the spaces 𝐿𝑝(𝜔)(𝐷×Ω) and 𝑊𝑘,𝑝(𝜔)(𝐷×Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.…”
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Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints by Yong Guo

“…The Galerkin method is applied to produce a set of ordinary differential equations. The effect of the internal material length scale parameter on the critical flow velocity is investigated. …”
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A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method by Changqing Yang, Jianhua Hou

“…The collocation method transforms the differential equation into a system of algebraic equations. …”
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Nonuniform Continuity of the Osmosis K(2, 2) Equation by Aiyong Chen, Yong Ding, Wentao Huang

“…The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. …”
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Analytic Approximation of the Solutions of Stochastic Differential Delay Equations with Poisson Jump and Markovian Switching by Hua Yang, Feng Jiang

“…Most SDDEsPJMSs cannot be solved explicitly as stochastic differential equations. Therefore, numerical solutions have become an important issue in the study of SDDEsPJMSs. …”
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On Partial Complete Controllability of Semilinear Systems by Agamirza E. Bashirov, Maher Jneid

“…Many control systems can be written as a first-order differential equation if the state space enlarged. Therefore, general conditions on controllability, stated for the first-order differential equations, are too strong for these systems. …”
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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.…”
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Parameter estimation in a structured erythropoiesis model by Azmy S. Ackleh, Jeremy J. Thibodeaux

“…We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. Convergence theory for the computedparameters is provided. …”
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Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems by Susan H. Mohammad, Abdulghafor Mohammed Al-Rozbayani

“…In this paper, we applied an efficient integrative method called the fractional Picard method to find the approximate solution to a system of fractional algebraic differential equations (SFADEs). By comparing the results with the exact solution, it was found that this method is highly efficient for finding solutions. …”
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First-Order Three-Point Boundary Value Problems at Resonance Part III by Mesliza Mohamed, Bevan Thompson, Muhammad Sufian Jusoh

“…The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. …”
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Positive Periodic Solutions in a Discrete Time Three Species Competition System by Changjin Xu, Yusen Wu

“…With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. …”
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Torsional Vibrations at Guide-Vane Shaft of Pump–Turbine Model by Andrej Predin

“…The mathematical models for theoretical torsional vibration prediction formulated using linear and nonlinear differential equations are presented. The results of theoretical calculations are compared with measurement results. …”
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Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers by Tingting Xu, Zhaolin Jiang, Ziwu Jiang

“…Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial. …”
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Some Results on Equivalence Groups by J. C. Ndogmo

“…The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a subgroup of the other type, and a case where the two groups are isomorphic is exhibited. …”
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Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method by Yanqin Liu, Limei Yan

“…It is observed that the proposed approach provides a simple and reliable tool for solving many other fractional coupled differential equations.…”
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Integral invariant manifold method applied to a mathematical model of osteosarcoma by Ophir Nave

“…These interactions are described by nonlinear ordinary differential equations. By applying the MIM method, two critical dynamic variables (Cancer cells and Necrotic cells) were identified, providing insights into the dynamics of osteosarcoma over time during treatment.…”
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Culling structured hosts to eradicate vector-borne diseases by Xinli Hu, Yansheng Liu, Jianhong Wu

“…A compartmental model is developed, in the form of a nonautonomoussystem of delay differential equations subject to impulses atspecific times, for mosquito-born disease control involvinglarvicides and insecticide sprays. …”
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