Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales by Yazhou Tian, A. A. El-Deeb, Fanwei Meng

“…We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. …”
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State-Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time-Delay Systems by Liang Liu, Zhandong Yu, Qi Zhou, Hamid Reza Karimi

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Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions by Mohammad Arif, Idrees A. Khan, Mohammad Imdad, Aftab Alam

“…In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. …”
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Existence, Uniqueness and Convergence Solution of Nonlinear Caputo-Fabrizio Fractional Biological Population Model by Ali Khalouta

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Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms by Shahram Rezapour, Ali Boulfoul, Brahim Tellab, Mohammad Esmael Samei, Sina Etemad, Reny George

“…This work is reserved for the study of a special category of boundary value problems (BVPs) consisting of Liouville–Caputo integro-differential equations with multiple nonlinear terms. This fractional model and its boundary value conditions (BVCs) involve different simple BVPs, in which the second BVC as a linear combination of two Caputo derivatives of the unknown function equals a nonzero constant. …”
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Corrigendum to “Controller Design Based on Echo State Network with Delay Output for Nonlinear System” by Xianshuang Yao, Siyuan Fan, Bo Zhao, Shengxian Cao

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D-Wave’s Nonlinear-Program Hybrid Solver: Description and Performance Analysis by Eneko Osaba, Pablo Miranda-Rodriguez

“…Recently, a new technique has been added to this portfolio: the Nonlinear-Program Hybrid Solver. This paper describes this solver and evaluates its performance through a benchmark of 45 instances across three combinatorial optimization problems: the Traveling Salesman Problem, the Knapsack Problem, and the Maximum Cut Problem. …”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…Abstract In this research, a systematic approach is employed to derive novel wave solutions for the coupled nonlinear Schrödinger equation. The transformation of the coupled partial differential equation into ordinary differential equation is achieved by utilizing a complex wave variable. …”
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Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay by Yongjun Shen, Mehdi Ahmadian

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Nonlinear-Electronic Transport in Thin-Films Grown from Grain-Oriented Iron Foils by Roberto Baca Arroyo

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APPROXIMATE SOLUTION OF NONLINEAR OIL FILM FORCES OF FINITE LENGTH SLIDE JOURNAL BEARING by HEI Di, LU ZunYou

“…Supposing the oil film at the laminar state,an approximate analytical method is proposed for calculating nonlinear oil film forces of finite length journal bearing. …”
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Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity by Irina Dymnikova, Evgeny Galaktionov, Eduard Tropp

“…We address the question of correct description of Lagrange dynamics for regular electrically charged structures in nonlinear electrodynamics coupled to gravity. Regular spherically symmetric configuration satisfying the weak energy condition has obligatory de Sitter center in which the electric field vanishes while the energy density of electromagnetic vacuum achieves its maximal value. …”
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A Limited Memory BFGS Method for Solving Large-Scale Symmetric Nonlinear Equations by Xiangrong Li, Xiaoliang Wang, Xiabin Duan

“…A limited memory BFGS (L-BFGS) algorithm is presented for solving large-scale symmetric nonlinear equations, where a line search technique without derivative information is used. …”
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Solution of a Scalar Two-Dimensional Nonlinear Diffraction Problem for Objects of Arbitrary Shape by A. O. Lapich, M. Y. Medvedik

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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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