Aspects of a novel nonlinear electrodynamics in flat spacetime and in a gravity-coupled scenario by Anjan Kar

“…Abstract A novel nonlinear electrodynamics (NLE) model with two dimensionful parameters is introduced and investigated. …”
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Positive Solutions for a Singular Superlinear Fourth-Order Equation with Nonlinear Boundary Conditions by Dongliang Yan

“…We show the existence of positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions. u⁗x=λhxfux, x∈0,1,u0=u′0=0,u″1=0, u⁗1+cu1u1=0, where λ > 0 is a small positive parameter, f:0,∞⟶ℝ is continuous, superlinear at ∞, and is allowed to be singular at 0, and h: [0, 1] ⟶ [0, ∞) is continuous. …”
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Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives by MohammadHossein Derakhshan, Azim Aminataei

“…In this article, we survey the Lyapunov direct method for distributed-order nonlinear time-varying systems with the Prabhakar fractional derivatives. …”
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Bifurcation Analysis for Nonlinear Recurrence Relations with Threshold Control and 2k-Periodic Coefficients by Liping Dou, Chengmin Hou, Sui Sun Cheng

“…A nonlinear recurrence involving a piecewise constant McCulloch-Pitts function and 2k-periodic coefficient sequences is investigated. …”
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A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations by S. S. Motsa, V. M. Magagula, P. Sibanda

“…This paper presents a new method for solving higher order nonlinear evolution partial differential equations (NPDEs). …”
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Optimum Control for Nonlinear Dynamic Radial Deformation of Turbine Casing with Time-Varying LSSVM by Cheng-Wei Fei, Guang-Chen Bai, Wen-Zhong Tang, Yatsze Choy

“…First the T-LSSVM method was proposed and its mathematical model was established. And then the nonlinear dynamic optimal control model of casing radial deformation was constructed with T-LSSVM. …”
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Geometrical Nonlinear Aeroelastic Stability Analysis of a Composite High-Aspect-Ratio Wing by Chang Chuan Xie, Jia Zhen Leng, Chao Yang

“…A composite high-aspect-ratio wing of a high-altitude long-endurance (HALE) aircraft was modeled with FEM by MSC/NASTRAN, and the nonlinear static equilibrium state is calculated under design load with follower force effect, but without load redistribution. …”
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Existence of Wave Front Solutions of an Integral Differential Equation in Nonlinear Nonlocal Neuronal Network by Lijun Zhang, Linghai Zhang, Jie Yuan, C. M. Khalique

“…The main idea we apply here is to reduce the nonlinear integral-differential equation into a solvable differential equation and test whether the solution we get is really a wave front solution of the model equation.…”
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Newtons method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion by Henryk Leszczyński, Monika Wrzosek

“…We consider nonlinear stochastic wave equations driven by one-dimensional white noise with respect to time. …”
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Nonlinear control design of a DC microgrid based on the integral sliding mode controller by Akli Hajar, Abouobaida Hassan, Mchaouar Youssef, Fathelkhair Abdelmoghit, Oualifi Khadija

“…The structure of energy conversion is elaborated by the mathematical model, controlled by a nonlinear technique which is the integral sliding mode control (ISMC). …”
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Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure by Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva

“…Moreover, we show an extension to higher order, adding only one functional evaluation of the vectorial nonlinear function. We perform numerical tests to compare the proposed methods with other schemes in the literature and test their effectiveness on specific nonlinear problems. …”
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Blow-up of solutions for a time fractional biharmonic equation with exponentional nonlinear memory by Yuchen Zhu

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New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales by Li Gao, Quanxin Zhang, Shouhua Liu

“…A class of third-order nonlinear delay dynamic equations on time scales is studied. …”
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Some Explicit Expressions and Interesting Bifurcation Phenomena for Nonlinear Waves in Generalized Zakharov Equations by Shaoyong Li, Rui Liu

“…(i) Three types of explicit expressions of nonlinear waves are obtained, that is, the fractional expressions, the trigonometric expressions, and the exp-function expressions. …”
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Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay by Cun Wang, Xisheng Dai, Kene Li, Zupeng Zhou

“…This paper considers the consensus control problem of nonlinear spatial-temporal hyperbolic partial difference multiagent systems and parabolic partial difference multiagent systems with time delay. …”
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Analyzing Nonlinear Dynamics via Data-Driven Dynamic Mode Decomposition-Like Methods by Soledad Le Clainche, José M. Vega

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Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation: Revisit Volterra's Population Model by Najeeb Alam Khan, Amir Mahmood, Nadeem Alam Khan, Asmat Ara

“…This paper suggests two component homotopy method to solve nonlinear fractional integrodifferential equations, namely, Volterra's population model. …”
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Parametric Nonlinear Model Reduction Using K-Means Clustering for Miscible Flow Simulation by Norapon Sukuntee, Saifon Chaturantabut

“…The resulting POD basis is then used with Galerkin projection to construct reduced-order systems for various parameter vectors in the given domain together with applying the discrete empirical interpolation method (DEIM) to further reduce the computational complexity in nonlinear terms of the miscible flow model. The numerical results with varying different parameters are demonstrated to be efficient in decreasing simulation time while maintaining accuracy compared to the full-order model for various parameter values.…”
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Existence of Positive Solutions for a Nonlinear Higher-Order Multipoint Boundary Value Problem by Min Zhao, Yongping Sun

“…We study the existence of positive solutions for a nonlinear higher-order multipoint boundary value problem. …”
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Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping by Chengmin Hou, Sui Sun Cheng

“…All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. …”
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