A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem by Teffera M. Asfaw

“…The theory is applied to prove existence of weak solution (s) for a nonlinear parabolic problem in appropriate Sobolev spaces.…”
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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems by Ozgur Yildirim

“…This paper presents the existence and uniqueness of the weak solution for the nonlinear system of sine-Gordon equations which describes DNA dynamics. …”
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The Failure Mechanism of Concrete Gravity Dams considering Different Nonlinear Models under Strong Earthquakes by Chunli Yan, Jin Tu, Deyu Li, Shengshan Guo, Hui Liang

“…Moreover, the ultimate seismic capacity of the dam is evaluated for both of the nonlinear models. It is found that the ultimate seismic capacity of the dam is slightly different, but the failure process has significant distinctions in each model. …”
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A Return Mapping Algorithm for Nonlinear Yield Criteria with the Equivalent Mohr–Coulomb Strength Parameters by Chao Hu, Fei Ye, Wenxi Fu, Zhuo Chen

“…This paper proposes a modified return mapping algorithm for a series of nonlinear yield criteria. The algorithm is established in the principal stress space and ignores the effect of the intermediate principal stress. …”
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A nonlinear concrete damaged plasticity model for simulation reinforced concrete structures using ABAQUS by Cuong Le Thanh, Hoang-Le Minh, Thanh Sang-To

Subjects: “…Nonlinear behavior…”
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Vibration Reduction of the Nonlinearly Tufted Carpet Yarn by a Modified Sliding Mode Control Method by Shuang Huang, Xin Wu, Peixing Li

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Neural Network Identification and Sliding Mode Control for Hysteresis Nonlinear System with Backlash-Like Model by Ruiguo Liu, Xuehui Gao

“…Secondly, a new NNSMC is proposed for the hysteresis nonlinearity where it does not need tracking error transformation. …”
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Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation by Yali Shen, Ruoxia Yao

“…A determinant representation of the n-fold Darboux transformation for the integrable nonlocal derivative nonlinear Schödinger (DNLS) equation is presented. …”
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A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems by Syeda Tehmina Ejaz, Ghulam Mustafa

“…We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. …”
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Nonlinear Frequency Response Analysis of Herringbone Gear Pair based on Incremental Harmonic Balance Method by Libang Wang, Hao Dong

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Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes by Wei Shao

“…This paper investigates the exponential synchronization between two nonlinearly coupled complex networks with time-varying delay dynamical nodes. …”
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Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term by Bin Zheng, Qinghua Feng

“…We are concerned with oscillation of solutions of a class of nonlinear fractional differential equations with damping term. …”
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An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications by Gaohang Yu, Shanzhou Niu, Jianhua Ma, Yisheng Song

“…Combining multivariate spectral gradient method with projection scheme, this paper presents an adaptive prediction-correction method for solving large-scale nonlinear systems of monotone equations. The proposed method possesses some favorable properties: (1) it is progressive step by step, that is, the distance between iterates and the solution set is decreasing monotonically; (2) global convergence result is independent of the merit function and its Lipschitz continuity; (3) it is a derivative-free method and could be applied for solving large-scale nonsmooth equations due to its lower storage requirement. …”
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THE COMPILATION OF SHANNON ENTROPY MEASUREMENT EQUATION FOR NONLINEAR DYNAMIC SYSTEMS BY USING THE INTERVAL ANALYSIS METHODS by Yu. P. Machekhin, Yu. S. Kurskoy

Subjects: “…nonlinear dynamic system…”
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Qualitatively Stable Nonstandard Finite Difference Scheme for Numerical Solution of the Nonlinear Black–Scholes Equation by Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Zahra Mohammadnia, Hamid Mohammad Sedighi

“…In this paper, we use a numerical method for solving the nonlinear Black–Scholes partial differential equation of the European option under transaction costs, which is based on the nonstandard discretization of the spatial derivatives. …”
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Bistable Nonlinear Energy Sink Using Magnets and Linear Springs: Application to Structural Seismic Control by Y. Y. Chen, W. Zhao, C. Y. Shen, Z. C. Qian

“…Nonlinear energy sink (NES) has proven to be very effective in reducing the vibration response of structures. …”
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Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation by E. Thailert, S. Suksern

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Nonlinear Earthquake Analysis of Reinforced Concrete Frames with Fiber and Bernoulli-Euler Beam-Column Element by Muhammet Karaton

“…A beam-column element based on the Euler-Bernoulli beam theory is researched for nonlinear dynamic analysis of reinforced concrete (RC) structural element. …”
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Nonlinear Structural Dynamic Finite Element Analysis Using Ritz Vector Reduced Basis Method by M.S. Yao

“…The large system of equations of motion is thereby reduced to a very small set by this transformation and computational cost of the analysis can be greatly reduced. In this article nonlinear equations of motion and their transformation are formulated in detail. …”
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Interval Oscillation Criteria for Second-Order Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals by Yuangong Sun

“…As a special case, the work in this paper unifies and improves many existing results in the literature for equations with a finite number of nonlinear terms.…”
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