State Identification of ECS Turbine Bearing Based on Fractal Dimension by Chenchen Li, Qingpeng Han, Rui Zhu, Qingyu Zhu

“…The experimental result shows that the correlation dimension, as nonlinear geometric invariants, can be used as the characteristic quantity of ECS turbine bearing on running state. …”
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Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying in (0, 2) by A. Al-khedhairi, S. S. Askar, A. E. Matouk, A. Elsadany, M. Ghazel

“…The fractional-order case is shown to exhibit rich variety of nonlinear dynamics. Lyapunov exponents are calculated to confirm the existence of wide range of chaotic dynamics in this system. …”
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Model-Corrected Microwave Imaging through Periodic Wall Structures by Paul C. Chang, Robert J. Burkholder, John L. Volakis

“…A linear back-projection solution and a nonlinear minimization solution are applied to solve the inverse problem. …”
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Vibration Reduction for a Flexible Arm Using Magnetorheological Elastomer Vibration Absorber by Yushu Bian, Xuefeng Liang, Zhihui Gao

“…The application of the magnetorheological elastomer (MRE) to nonlinear vibration control for a flexible arm is investigated in this paper. …”
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Sign-changing and multiple solutions for the p-Laplacian by Siegfried Carl, Kanishka Perera

“…We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.…”
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Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity by Zhiyong Ma

“…Using semigroup approach, we will establish the global existence of homogeneous, nonhomogeneous, linear, semilinear, and nonlinear, thermoviscoelastic systems.…”
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The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent by Yanbin Sang, Xiaorong Luo, Yongqing Wang

“…We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. …”
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The Variational Homotopy Perturbation Method for Solving ((n×n)+1) Dimensional Burgers’ Equations by F. A. Hendi, B. S. Kashkari, A. A. Alderremy

“…Some examples are examined to validate that the method reduced the calculation size, treating the difficulty of nonlinear term and the accuracy.…”
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Surfaces of a Constant Negative Curvature by G. M. Gharib

“…I study the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudospherical surfaces for the nonlinear partial differential equations with constant Gaussian curvature .…”
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A boundary value problem in the hyperbolic space by P. Amster, G. Keilhauer, M. C. Mariani

“…We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. …”
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Integrodifferential Inequalities Arising in the Theory of Differential Equations by Zareen A. Khan

“…The goal of this paper is to achieve some new results related to integrodifferential inequalities of one independent variable which can be applied as a study of qualitative and quantitative properties of solutions of some nonlinear integral equations.…”
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Tripled Fixed Point Results in Generalized Metric Spaces by Hassen Aydi, Erdal Karapınar, Wasfi Shatanawi

“…We establish a tripled fixed point result for a mixed monotone mapping satisfying nonlinear contractions in ordered generalized metric spaces. …”
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Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications by Caiqin Wang, Hongbin Xie, Zengtai Gong

“…The obtained results provide a framework for analyzing nonlinear differential equations.…”
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A Periodic Problem of a Semilinear Pseudoparabolic Equation by Yang Cao, Jingxue Yin, Chunhua Jin

“…A class of periodic problems of pseudoparabolic type equations with nonlinear periodic sources are investigated. A rather complete classification of the exponent p is given, in terms of the existence and nonexistence of nontrivial and nonnegative periodic solutions.…”
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On the Coupling of the Homotopy Perturbation Method and New Integral Transform for Solving Systems of Partial Differential Equations by E. E. Eladdad, E. A. Tarif

“…This combination allows to obtain analytic and numerical solutions for linear and nonlinear systems of partial differential equations.…”
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POVEIKIS IR ATSAKAS BIOLOGINIUOSE VYKSMUOSE by Jonas Rubikas

“…So the response changes from nonlinear to linear and than to nonlinear again. In biological processes the affect-response dependence can be regarded as taking place at two levels: the first is that of molecular interaction, atomic and linkage exchange, the second is that of cell and individual and organism. …”
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POVEIKIS IR ATSAKAS BIOLOGINIUOSE VYKSMUOSE by Jonas Rubikas

“…So the response changes from nonlinear to linear and than to nonlinear again. In biological processes the affect-response dependence can be regarded as taking place at two levels: the first is that of molecular interaction, atomic and linkage exchange, the second is that of cell and individual and organism. …”
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Accelerated pseudo-transient method for elastic, viscoelastic, and coupled hydromechanical problems with applications by Y. Alkhimenkov, Y. Y. Podladchikov

“…Recent advancements have demonstrated the APT method's computational efficiency, particularly when applied to quasi-static nonlinear problems using Graphical Processing Units (GPUs). …”
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The heart rate on admission was associated with the mortality in elderly patients with hip fractures: a retrospective cohort study from a trauma centre in northwestern China by Zhi Yang, Wei-Song Zhang, Shao-Hua Chen, Bin-Fei Zhang

“…However, the linear association was unstable, and we found a nonlinear one. In the nonlinear association, the inflection point was 84 beats per minute. …”
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Presenting a multi-objective decision-making model for cost-time trade-off considering the time value of money and solving it using particle swarm optimization by Mohammadreza Shahriari

“…Furthermore, the model assumes costs are nonlinear and calculated based on the time value of money. …”
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