The generalized Turner-Bradley-Kirk-Pruitt equation by Ray Redheffer

“…Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner-Bradley-Kirk-Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. …”
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Chaotic Characteristic Verification of Gearbox Vibration Signal based on the Time Synchronous Averaging and Separation Technology by Li Jie, Zhao Jianmin

“…The gearbox vibration signal of normal and different degrees teeth break fault condition are analyzed,the chaotic characteristics of the gearbox vibration signal are verified by using the time synchronous averaging method（ TSA） to separate the linear components in the vibration signal of the gearbox and the remaining nonlinear components as the research object. The results show,the chaotic characteristic of gearbox degeneration can be effectively extracted,the existence of chaos in the vibration signal of gearbox is verified in the life-time run.…”
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The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays by Soufiane Mokeddem, Khaled Ben Walid Mansour

“…For this end we use the multiplier method combined with nonlinear integral inequalities given by Martinez; the proof is based on the construction of a special weight function that depends on the behavior of σ.…”
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Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments by A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, O. A. Adesina

“…The behaviour of solutions for certain third-order nonlinear differential equations with multiple deviating arguments is considered. …”
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Global Dynamics of Rational Difference Equations xn+1=xn+xn-1/q+ynyn-1 and yn+1=yn+yn-1/p+xnxn-1 by Keying Liu, Peng Li, Weizhou Zhong

“…Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes. …”
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Interpolation of Gentle Spaces by Mourad Ben Slimane, Hnia Ben Braiek

“…Further, an application to nonlinear approximation is presented.…”
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Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets by Davide Catania

“…This is a preliminary result to the study of linearized variable-coefficient current-vortex sheets, a first step to prove the existence of solutions to the nonlinear problem.…”
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Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations by Daouda Sangare

“…The transport equation with a nonlinear feedback is solved using a fixed-point method.…”
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Global Sensitivity Analysis of the Vibration Reduction System with Seated Human Body by Igor Maciejewski, Tomasz Krzyzynski

“…The variance-based method is used to evaluate an influence of nonlinear force characteristics on the system dynamics. …”
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Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems by Cheng Wang, Tao Tang, Dewang Chen

“…By using the iterative search, a least-squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the algorithms, and the simulation results show that the least-squares based iterative algorithm can produce more accurate parameter estimates than the gradient based iterative algorithm.…”
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On the Solutions of a System of Third-Order Rational Difference Equations by A. M. Alotaibi, M. S. M. Noorani, M. A. El-Moneam

“…The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. …”
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Existence of extremal periodic solutions for quasilinear parabolic equations by Siegfried Carl

“…The main tools used in the proof of our result are recently obtained abstract results on nonlinear evolution equations, comparison and truncation techniques and suitably constructed special testfunction.…”
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Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation by Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin

“…We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. …”
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A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications by Yuji Liu, Bashir Ahmad

“…We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. …”
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Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular by Awad A. Bakery, Elsayed A. E. Mohamed

“…Finally, real-world examples and applications show solutions to some nonlinear difference equations.…”
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Positive Solutions for a Class of Fourth-Order p-Laplacian Boundary Value Problem Involving Integral Conditions by Yan Sun

“…The interesting point of the results is that the nonlinear term contains all lower-order derivatives explicitly. …”
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A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications by Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Alberto Luviano-Juárez, Carlos Arturo Loredo-Villalobos, Edgar Cristian Díaz-González

“…Besides, criteria on robust stability and stability of nonlinear time-delay systems are presented, including some numerical approaches.…”
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Multiple Solutions of Mixed Convective MHD Casson Fluid Flow in a Channel by Jawad Raza, Azizah Mohd Rohni, Zurni Omar

“…Governing partial differential equation of the proposed problem converted into nonlinear ordinary differential equations by using similarity transformation. …”
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On a Predator-Prey Model Involving Age and Spatial Structure by Okana S. Sougué, Oumar Traoré

“…In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. …”
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On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications by Babak Mohammadi, Wutiphol Sintunavarat, Vahid Parvaneh

“…Finally, the existence of solutions of nonlinear integral equations is investigated via the theoretical results in this work.…”
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