Existence of Bounded Positive Solutions for Partial Difference Equations with Delays by Zeqing Liu, Zhihua Wu, Young Chel Kwun, Shin Min Kang

“…This paper deals with solvability of the third-order nonlinear partial difference equation with delays Δn(am,nΔm2(xm,n+bm,nxm-τ0,n-σ0))+f(m,n,xm-τ1,m,n-σ1,n,…,xm-τk,m,n-σk,n)=cm,n,  m≥m0,  n≥n0. …”
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General Improvements of Heuristic Algorithms for Low Complexity DOA Estimation by Haihua Chen, Haoran Li, Mingyang Yang, Changbo Xiang, Masakiyo Suzuki

“…Heuristic algorithms are considered to be effective approaches for super-resolution DOA estimations such as Deterministic Maximum Likelihood (DML), Stochastic Maximum Likelihood (SML), and Weighted Subspace Fitting (WSF) which are involved in nonlinear multi-dimensional optimization. Traditional heuristic algorithms usually need a large number of particles and iteration times. …”
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Response of a Two-Degree-of-Freedom Vibration System with Rough Contact Interfaces by Zhiqiang Huang, Xun Peng, Gang Li, Lei Hao

“…For this purpose, a two-degree-of-freedom model of a coupled seismic-vibrator-rough-ground system is proposed with which the nonlinear vibration properties are analyzed. In this model, the force-deflection characteristic of the contact interfaces is determined by finite element analysis. …”
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Dynamic Mean-Variance Model with Borrowing Constraint under the Constant Elasticity of Variance Process by Hao Chang, Xi-min Rong

“…Secondly, we use dynamic programming principle to get the Hamilton-Jacobi-Bellman (HJB) equation for the value function, which is a more sophisticated nonlinear second-order partial differential equation. …”
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Superhydrophobic carbon papers for electrostatic water collection from fog by Xie Qiongdan, Yang BeiEr, Mu Jiangtao, Zhang Haoran, Yu Jiaxin, Liu Yunchen, Fang Deyu, Cong Longqi, Yang Qihang, Liu Ruoqi, Chen Qianqian

“…The fog collection efficiency is directly correlated with electrostatic air current, though the relationship is nonlinear: efficiency initially increases sharply with current before leveling off.…”
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A Vector Bond Graph Method of Dynamics Modeling for Planar Multi-body Systems with Grooved Sheave by Wang Zhongshuang, Zhao Yanwei, Xu Changshun

“…For the algebraic difficulties brought by differential causality and nonlinear junction structure in dynamics modeling of the planar multi-body systems,the effective decoupling method is proposed. …”
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Mathematical model and its fast numerical method for the tumor growth by Hyun Geun Lee, Yangjin Kim, Junseok Kim

“…,Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method, J. …”
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Turing Patterns in a Predator-Prey System with Self-Diffusion by Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen

“…For this, we investigate Turing instability for a predator-prey system with nonlinear diffusion terms including the normal diffusion, cross-diffusion, and self-diffusion. …”
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The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition by Huashui Zhan, Zhen Zhou

“…Since the equation is nonlinear, the partial boundary value condition cannot be depicted by Fichera function. …”
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Application of Improved Multi-objective Differential Evolution Algorithm in the Optimal Operation of Reservoirs by SUN Qiurong, LI Yong, TANG Qian, WU Shaofei

“…The multi-objective optimal operation of reservoirs is a complex system optimization,and it belongs to the scope of high-dimension,multi-constraint,and nonlinear optimization.The intelligent optimization algorithm has the shortcomings of less non-inferior solutions,uneven distribution and non-convergence when solving the multi-objective optimal operation of reservoirs.Based on the above problems,this paper proposes a new idea to improve the multi-objective differential evolution algorithm by adding the elite retention mechanism and maintaining the external elite set with the crowding distance,establishes the multi-objective optimal operation model for reservoirs,and applies it for realizing the multi-objective optimal operation of Zhanghe Reservoir.The results show that the algorithm can obtain non-inferior solution set with uniform distribution,which proves that it is effective in multi-objective optimal operation of reservoirs.…”
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PARAMETER STABILITY AND VIBRATION CHARACTERISTICS ANALYSIS OF GEAR TRANSMISSION SYSTEM by WAN ZhiGuo, LI SuoBin, DOU YiHua, ZHANG MingQuan

“…The results show that the system may generate parametric resonance when the frequency of parameter excitation is equal to 2/n of the free vibration period of the derived system;The gear backlash leads to multi-value properties and amplitude jump phenomena; The nonlinear vibration response of the system will be decreased with the increasing of the external excitation amplitude, damping ratio and the decreasing of the internal excitation amplitude.…”
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Chaotic Puma Optimizer Algorithm for controlling wheeled mobile robots by Mohamed Kmich, Nawal El Ghouate, Ahmed Bencharqui, Hicham Karmouni, Mhamed Sayyouri, S.S. Askar, Mohamed Abouhawwash

“…It has outperformed standard and improved metaheuristic algorithms in controlling nonlinear and time-varying wheeled mobile robots. The results show a notable improvement in terms of response time and stability, thus expanding the potential applications of this optimizer in various fields of engineering and robotics.…”
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Observation of Dissipative Bright Soliton and Dark Soliton in an All-Normal Dispersion Fiber Laser by Chunyang Ma, Bo Gao, Ge Wu, Tian Zhang, Xiaojian Tian

“…We observe the generation of dissipative bright and dark soliton in an all-normal dispersion fiber laser by employing the nonlinear polarization rotation (NPR) technique. Through adjusting the angle of the polarizer and analyzer, the mode-locked and non-mode-locked regions can be obtained in different polarization directions. …”
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A Coupled Discrete-Finite Element Method for Shear Strength Analysis of Geogrid-Reinforced Railway Ballast by Danyang Ji, Zheng Ma, Junjie Zhou, Yajun Li, Shuai Shao

“…Irregularly shaped ballast particles are modeled with clumps, and the nonlinear contact force model is used to calculate contact force between particles. …”
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An energy fracture criterion based on dissipative inequality by Frolov Maxim, Savikovskii Artem, Semenov Artem

“…Different energy flux vector representation forms for cases of linear and nonlinear thermoelasticity were considered and discussed.…”
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An Analysis of the Relationship Between Investor Risk Appetite and CDS Premiums in Turkey Using Asymmetric Methods by Adnan Güzel, Yüksel İltaş

“…The data set of the study consists of weekly frequency data covering the period April 2010-December 2023. Nonlinear ARDL (NARDL) method and Hatemi-J and Roca (2014) asymmetric causality test was used in the empirical analysis of the study. …”
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Monotone-Iterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima” by S. Hristova, A. Golev

“…An improved algorithm of the monotone-iterative technique is suggested to nonlinear differential equations with “maxima.” The case when upper and lower solutions of the given problem are known at different initial time is studied. …”
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Butterfly Distribution of Relativistic Electrons Driven by Parallel Propagating Lower Band Whistler Chorus Waves by S. Saito, Y. Miyoshi

“…The results show that two nonlinear scattering processes, which are the phase trapping and the dislocation process, contribute to the formation of the butterfly distribution within a minute. …”
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Research of the Fault Feature Extraction of the Transmission Weak Abnormal Sound based on the Sample Entropy by Wu Chao, Sun Huer, Liang Xiaohua

“…Aiming at the weak abnormal sound of the new transmission products in the specific speed range of gear,the nonlinear of the dynamic parameter sample entropy is used to extract the operating characteristics of the transmission under different gears. …”
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On Comparative Analysis for the Black-Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform by Saima Rashid, Sobia Sultana, Rehana Ashraf, Mohammed K. A. Kaabar

“…The precision and efficacy of the proposed technique suggest its applicability for a variety of nonlinear evolutionary problems.…”
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