Univex Interval-Valued Mapping with Differentiability and Its Application in Nonlinear Programming by Lifeng Li, Sanyang Liu, Jianke Zhang

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Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems by Jianhua Zhang, Quanmin Zhu, Yang Li

“…In this study, an accurate convergence time of the supertwisting algorithm (STA) is proposed to build up a framework for nonaffine nonlinear systems’ finite-time control. The convergence time of the STA is provided by calculating the solution of a differential equation instead of constructing Lyapunov function. …”
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An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations

“…<p>We suggest the construction of an oriented coincidence index for nonlinear Fredholm operators of zero index and approximable multivalued maps of compact and condensing type. …”
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Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces by Sharifa Al-Sharif, Mohammad Al-Khaleel, Mona Khandaqji

“…We establish some results on the existence and uniqueness of coupled fixed point involving nonlinear contractive conditions in complete-ordered partial metric spaces.…”
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On Singular Solutions to PDEs with Turning Point Involving a Quadratic Nonlinearity by Stéphane Malek

“…We study a singularly perturbed PDE with quadratic nonlinearity depending on a complex perturbation parameter ϵ. …”
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Conformal duality of the nonlinear Schrödinger equation: Theory and applications to parameter estimation by David B. Reinhardt, Dean Lee, Wolfgang P. Schleich, Matthias Meister

“…The nonlinear Schrödinger equation (NLSE) in one spatial dimension has stationary solutions similar to those of the linear Schrödinger equation (LSE) as well as more exotic solutions such as solitary waves and quantum droplets. …”
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Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” by Peiguang Wang, Qing Xu, Xiaojing Liu

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Spin-orbit interaction driven terahertz nonlinear dynamics in transition metals by Ruslan Salikhov, Markus Lysne, Philipp Werner, Igor Ilyakov, Michael Schüler, Thales V. A. G. de Oliveira, Alexey Ponomaryov, Atiqa Arshad, Gulloo Lal Prajapati, Jan-Christoph Deinert, Pavlo Makushko, Denys Makarov, Thomas Cowan, Jürgen Fassbender, Jürgen Lindner, Aleksandra Lindner, Carmine Ortix, Sergey Kovalev

“…The essential rules for how terahertz fields interact with these systems in a nonlinear way are still not understood. In this work, we demonstrate a universally applicable electronic nonlinearity originating from spin-orbit interactions in conducting materials, wherein the interplay of light-induced spin and orbital textures manifests. …”
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Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities by N. Daoudi-Merzagui, F. Derrab, A. Boucherif

“…We discuss the existence of subharmonic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions are provided enable us to obtain infinitely many distinct subharmonic solutions. …”
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Computation of displacements for nonlinear elastic beam models using monotone iterations by Philip Korman

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Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems by Min Wu, Zhengfeng Yang, Wang Lin

“…We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems. A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear systems efficiently. …”
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Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay by Lin Rongrui, Gao Yunlong, She Lianbing

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Nonlinear vibration of wire-wrapped fuel rod subjected to axial flow by Yu Zhang, Pengzhou Li

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Numerical solution of nonlinear complex integral equations using quasi- wavelets by Ahmed Ayad Khudhair, Saeed Sohrabi, Hamid Ranjbar

“…In this paper, we introduced a numerical approach for estimating the solutions of nonlinear Fredholm integral equations in the complex plane. …”
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New Exact Solutions for New Model Nonlinear Partial Differential Equation by A. Maher, H. M. El-Hawary, M. S. Al-Amry

“…The mapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined Padé-II and modified Padé-II equation. …”
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Low-threshold dual-polarization electro-optic nonlinear activation functions by Tao Jin, Jian Lin, Pengjun Wang, Qiang Fu, Yuhan Sun, Yi Zou, Shixun Dai, Weiwei Chen, Jun Li, Tingge Dai, Jianyi Yang

“…In this paper, a scheme for realizing low-threshold dual-polarization electro-optic nonlinear activation functions is proposed, designed, and experimentally demonstrated. …”
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Iterative Fixed-Point Methods for Solving Nonlinear Problems: Dynamics and Applications by Juan R. Torregrosa, Alicia Cordero, Vinay Kanwar, Jisheng Kou

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Research on Nonlinear Characteristic of Laminated Coupling Under Different Load Forms by Liang Youtao, Zhang Zhihe, Yang Bing, Yang Guangwu, Xiao Shoune, Zhu Tao

“…In order to study the nonlinear deformation behavior of bolt-flange-joined laminated coupling under three different load forms of tension, bending and torsion load, a local finite element model of the coupling is established. …”
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Impulsive Antiperiodic Boundary Value Problems for Nonlinear qk-Difference Equations by Lihong Zhang, Bashir Ahmad, Guotao Wang

“…We show the existence and uniqueness of solutions for an antiperiodic boundary value problem of nonlinear impulsive qk-difference equations by applying some well-known fixed point theorems. …”
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Bacterial Foraging-Tabu Search Metaheuristics for Identification of Nonlinear Friction Model by Nuapett Sarasiri, Kittiwong Suthamno, Sarawut Sujitjorn

“…This paper proposes new metaheuristic algorithms for an identification problem of nonlinear friction model. The proposed cooperative algorithms are formed from the bacterial foraging optimization (BFO) algorithm and the tabu search (TS). …”
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