On a System of Nonlinear Variational Inclusions with Hh,η-Monotone Operators by Zeqing Liu, Jeong Sheok Ume, Shin Min Kang

“…This paper is concerned mainly with the existence and iterative approximation of solutions for a system of nonlinear variational inclusions involving the strongly Hh,η-monotone operators in Hilbert spaces. …”
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Second-Order Multiplier Iteration Based on a Class of Nonlinear Lagrangians by Yong-Hong Ren

“…Nonlinear Lagrangian algorithm plays an important role in solving constrained optimization problems. …”
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Pinning Synchronization of Nonlinearly Coupled Complex Dynamical Networks on Time Scales by Fang-Di Kong

“…In this paper, we study the synchronization problem for nonlinearly coupled complex dynamical networks on time scales. …”
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Prescribed-time trajectory tracking control for a class of nonlinear system by Lichao Feng, Chunlei Zhang, Mahmoud Abdel-Aty, Jinde Cao, Fawaz E. Alsaadi

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The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence by Mao-Sheng Chang, Bo-Cheng Lu

“…We first establish the explicit structure of nonlinear gradient flow systems on metric spaces and then develop Gamma-convergence of the systems of nonlinear gradient flows, which is a scheme meant to ensure that if a family of energy functionals of several variables depending on a parameter Gamma-converges, then the solutions to the associated systems of gradient flows converge as well. …”
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Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method by Chein-Shan Liu

“…We derive an implicit Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations. Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed-form solutions.…”
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Optimal Combination of EEFs for the Model Reduction of Nonlinear Partial Differential Equations by Jun Shuai, Xuli Han

“…The numerical example shows its effectiveness and feasibility for model reduction of the nonlinear PDEs.…”
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An Improved Unscented Kalman Filter for Discrete Nonlinear Systems with Random Parameters by Yue Wang, Zhijian Qiu, Xiaomei Qu

“…This paper investigates the nonlinear unscented Kalman filtering (UKF) problem for discrete nonlinear dynamic systems with random parameters. …”
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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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Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation by Bothayna S. H. Kashkari, Muhammed I. Syam

“…This article is devoted to both theoretical and numerical studies of nonlinear fractional Fredholm integrodifferential equations. …”
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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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A nonlinear second order problem with a nonlocal boundary condition by P. Amster, P. De Nápoli

“…We study a nonlinear problem of pendulum-type for a p-Laplacian with nonlinear periodic-type boundary conditions. …”
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Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity by Shi-you Lin

“…The Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. …”
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Nonfragile H∞ Stabilizing Nonlinear Systems Described by Multivariable Hammerstein Models by Zeineb Rayouf, Chekib Ghorbel, Naceur Benhadj Braiek

“…This paper presents the problem of robust and nonfragile stabilization of nonlinear systems described by multivariable Hammerstein models. …”
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Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument by Kuo-Shou Chiu

“…We investigate the existence of the periodic solutions of a nonlinear integro-differential system with piecewise alternately advanced and retarded argument of generalized type, in short DEPCAG; that is, the argument is a general step function. …”
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ANALYSIS OF NONLINEAR DYNAMIC CHARACTERISTICS OF AN IMPACT-UNBALANCED SUSPENDED ROTOR SYSTEM by LIU JunJie, ZHANG LingYun, MA ShaoHui, LAN HaiPeng, ZHANG YouQiang

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Nonlinear Analysis of Rod Fastened Rotor under Nonuniform Contact Stiffness by Jiaqi Li, Yao Li, Fan Zhang, Yinli Feng

“…The linear dynamic characteristics of this rotor has been investigated, such as Campbell diagram, critical speed, and formation, and the nonlinear characteristics of this system, such as chaos and bifurcation, has been investigated too. …”
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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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Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales by Shao-Yan Zhang, Qi-Ru Wang

“…This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form on time scales. …”
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