Multiple normalized solutions to the nonlinear Schrödinger–Poisson system with the $L^2$-subcritical growth by Siwei Wei, Kaimin Teng

“…In this paper, we study the existence of multiple normalized solutions to the following Schrödinger–Poisson system with general nonlinearities: \begin{equation*} \begin{cases} -\varepsilon^2\Delta u+V(x)u+\phi u=f(u)+\lambda u & \hbox{in $\mathbb{R}^3$,} \\ -\varepsilon^2\Delta\phi=u^2& \hbox{in $\mathbb{R}^3$,}\\ \int_{\mathbb{R}^3}|u|^2{\rm d}x=\varepsilon^3 a^2,\ \end{cases} \end{equation*} where $\varepsilon$, $a>0$, $\lambda\in\mathbb{R}$ is an unknown parameter that appears as a Lagrange multiplier, $V(x):\mathbb{R}^3 \rightarrow [0,\infty)$ is a continuous function, and $f$ is a differentiable function satisfying $L^2$-subcritical growth. …”
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Nonlinear Behavior Study of Reinforced Concrete Coupling Beams Subjected to the Effect of Wind Loading by Sarah Bashour, Bassam Hwaija, Fadwa Issa

“…In addition to that, there is still a need for developing an analytical model that can represent nonlinear behavior of these elements when subjected to wind loads. …”
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Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function by Peiguo Zhang, Lishan Liu, Yonghong Wu

“…By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. …”
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Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow by F. Talay Akyildiz, K. Vajravelu

“…Differential Equations and Nonlinear Mechanics…”
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Dynamic Behaviors and Analytical Solutions of the Damped (2+1)-Dimensional Nonlinear Schrödinger Equation by Yongyi Gu, Feng Ye, Baixin Chen, Najva Aminakbari

“…In this paper, abundant analytical solutions of the damped (2 + 1)-dimensional nonlinear Schrödinger equation are achieved by taking advantage of the extended systematic method. …”
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Holographic ferromagnetic phase transitions with three typical nonlinear electrodynamics in Gauss-Bonnet gravity by Ruo-Tong Wei, Ya-Bo Wu, Te Huang, Jun-Ping Wang, Cheng-Yuan Zhang

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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

“…The findings underscore the efficiency and reliability of the applied techniques, demonstrating their applicability to a wide range of complex nonlinear systems.…”
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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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