Solvability for a nonlinear three-point boundary value problem with p-Laplacian-like operator at resonance by M. García-Huidobro, C. P. Gupta, R. Manásevich

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Finite and Infinte Time Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities by Milena Dimova, Natalia Kolkovska, Nikolai Kutev

Subjects: “…nonlinear wave equation…”
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Fuzzy filtering‐based fault detection for a class of discrete‐time conic‐type nonlinear systems by Jiancheng Wang, Shuping He

“…Abstract The authors investigates the problem of fuzzy fault detection filter (FFDF) design for a class of discrete‐time conic‐type nonlinear systems. By applying Takagi–Sugeno fuzzy models, the conic‐type dynamic FFDF system is established. …”
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A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations by Qazi Mahmood Ul Hassan, Jamshad Ahmad, Muhammad Shakeel

“…We use the fractional derivatives in Caputo’s sense to construct exact solutions to fractional fifth order nonlinear evolution equations. A generalized fractional complex transform is appropriately used to convert this equation to ordinary differential equation which subsequently resulted in a number of exact solutions.…”
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LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) by WEN ZhiHua, ZHU XiFeng, WANG JianFeng

“…A type of two-degree-of-freedom vibration system with bilateral nonlinear constraints is established. Through the fourth-order Runge-Kutta numerical algorithm, the dynamic characteristics of the p/1 periodic motion of the system under low frequency excitation, the law of mutual transition and the corresponding law of the coexistence zone of gap and period are analyzed. …”
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Dynamic nonlinear control strategies for resilient heterogeneous vehicle platooning and handling Byzantine attacks in communication networks by Ammar Alsinai, José Roberto Castilho Piqueira, Waqar Ul Hassan, Azmat Ullah Khan Niazi, Farida Safder

Subjects: “…Nonlinear control method…”
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Nonlinear Elasticity of Borocarbide Superconductor YNi2B2C: A First-Principles Study by Lili Liu, Cai Chen, Dingxing Liu, Zhengquan Hu, Gang Xu, Rui Wang

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From Nonlinear Optimization to Convex Optimization through Firefly Algorithm and Indirect Approach with Applications to CAD/CAM by Akemi Gálvez, Andrés Iglesias

“…It is also challenging, because these curves typically depend on many continuous variables in a highly interrelated nonlinear way. In general, it is not possible to compute these parameters analytically, so the problem is formulated as a continuous nonlinear optimization problem, for which traditional optimization techniques usually fail. …”
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Multiplicative Fault Estimation-Based Adaptive Sliding Mode Fault-Tolerant Control Design for Nonlinear Systems by Ali Ben Brahim, Slim Dhahri, Fayçal Ben Hmida, Anis Sellami

“…This article deals with the sliding mode fault-tolerant control (FTC) problem for a nonlinear system described under Takagi-Sugeno (T-S) fuzzy representation. …”
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Boundedness and large time behavior of a signal-dependent motility system with nonlinear indirect signal production by Ya Tian, Jing Luo

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Soliton solutions, bifurcations, and sensitivity analysis to the higher-order nonlinear fractional Schrödinger equation in optical fibers by Md. Al Amin, M. Ali Akbar, M. Ashrafuzzaman Khan, Md. Sagib

Subjects: “…Space time-fractional higher order nonlinear schrödinger equation…”
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Three Positive Periodic Solutions to Nonlinear Neutral Functional Differential Equations with Parameters on Variable Time Scales by Yongkun Li, Chao Wang

“…Using two successive reductions: B-equivalence of the system on a variable time scale to a system on a time scale and a reduction to an impulsive differential equation and by Leggett-Williams fixed point theorem, we investigate the existence of three positive periodic solutions to the nonlinear neutral functional differential equation on variable time scales with a transition condition between two consecutive parts of the scale (d/dt)(x(t)+c(t)x(t-α))=a(t)g(x(t))x(t)-∑j=1nλjfj(t,x(t-vj(t))), (t,x)∈T0(x),Δt|(t,x)∈S2i=Πi1(t,x)-t, Δx|(t,x)∈S2i=Πi2(t,x)-x, where Πi1(t,x)=t2i+1+τ2i+1(Πi2(t,x)) and Πi2(t,x)=Bix+Ji(x)+x,  i=1,2,….  …”
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Choice of Measurement Locations of Nonlinear Structures Using Proper Orthogonal Modes and Effective Independence Distribution Vector by T. G. Ritto

“…This paper proposes a methodology to automatically choose the measurement locations of a nonlinear structure/equipment that needs to be monitored while operating. …”
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Computational and numerical solutions to the Benney–Luke equation: Insights into nonlinear long wave dynamics in dispersive media by Mostafa M.A. Khater

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Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions by Huina Zhang, Wenjie Gao

“…Our results are based on the nonlinear alternative of Leray-Schauder type and the contraction mapping principle. …”
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Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback by Bei Gong, Xiaopeng Zhao

“…We study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback. By the Riemannian geometry methods, we obtain the stability results of the system under suitable assumptions of the bound of the time-varying term and the nonlinearity of the nonlinear term.…”
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Nonlinear effects in fiber lasers and amplifiers: review of pulse generation at 1550–1870 nm wavelength range by Diana Galiakhmetova

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Comparative Analysis of Linear and Nonlinear Pattern Synthesis of Hemispherical Antenna Array Using Adaptive Evolutionary Techniques by K. R. Subhashini, A. T. Praveen Kumar

“…Hemispherical antenna arrays are subjected to linear and nonlinear synthesis and are optimized using adaptive based differential evolution (ADE) and fire fly (AFA) algorithm. …”
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Nonlinear relationship between hepatic steatosis index and reversion to normal glucose regulation in Chinese adults with prediabetes by Haiyong Zeng, Fei Yu, Haofei Hu, Yong Han, Ruixue Ye, Changchun Cao

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Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions by Zaid Laadjal, Qasem M. Al-Mdallal, Fahd Jarad

“…In this article, we use some fixed point theorems to discuss the existence and uniqueness of solutions to a coupled system of a nonlinear Langevin differential equation which involves Caputo fractional derivatives of different orders and is governed by new type of nonlocal and nonseparated boundary conditions consisting of fractional integrals and derivatives. …”
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