EFFECT OF HEATING MODE ON THE STRIP STRENGTH OF THE CRYOGENIC STORAGE TANK DURING VACUUMIZING by WANG Bin, GAO BingJun, ZHAI LanHui, SHANG ChengWen

“…With the aid of ANSYS software,the overall model of the cryogenic storage tank was worked out for nonlinear analysis of the structure during vacuumizing with outside heating. …”
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Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian by Kōdai Fujimoto, Masakazu Onitsuka

“…This paper deals with the oscillation problems for nonlinear differential equations of the form $(r(t)|x'|^{p(t)-2}x')'+c(t)f(x)=0$ involving $p(t)$-Laplacian. …”
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Viscosity Approximation Methods and Strong Convergence Theorems for the Fixed Point of Pseudocontractive and Monotone Mappings in Banach Spaces by Yan Tang

“…The results presented in this paper extend most of the results that have been proposed for this class of nonlinear mappings.…”
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The Multisoliton Solutions for the (2+1)-Dimensional Sawada-Kotera Equation by Zhenhui Xu, Hanlin Chen, Wei Chen

“…These results show that the high-dimensional nonlinear evolution equation has rich dynamical behavior.…”
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Modelling and Interpretation of Adsorption Isotherms by Nimibofa Ayawei, Augustus Newton Ebelegi, Donbebe Wankasi

“…Therefore, this paper presents an overall review of the applications of adsorption isotherms, the use of linear regression analysis, nonlinear regression analysis, and error functions for optimum adsorption data analysis.…”
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A Novel Geometric Modification to the Newton-Secant Method to Achieve Convergence of Order 1+2 and Its Dynamics by Gustavo Fernández-Torres

“…A geometric modification to the Newton-Secant method to obtain the root of a nonlinear equation is described and analyzed. With the same number of evaluations, the modified method converges faster than Newton’s method and the convergence order of the new method is 1+2≈2.4142. …”
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Notes on the Hermitian Positive Definite Solutions of a Matrix Equation by Jing Li, Yuhai Zhang

“…The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1≤δi<0 is investigated. …”
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Z-Control on COVID-19-Exposed Patients in Quarantine by Nita H. Shah, Nisha Sheoran, Ekta Jayswal

“…In this paper, a mathematical model for diabetic or hypertensive patients exposed to COVID-19 is formulated along with a set of first-order nonlinear differential equations. The system is said to exhibit two equilibria, namely, exposure-free and endemic points. …”
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Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian by Jufang Wang, Changlong Yu, Yanping Guo

“…We establish the existence of triple positive solutions of an m-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with a p-Laplacian operator by Leggett-William fixed point theorem. …”
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Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation by Robert Willie

“…In the semilinear case, under suitable dissipative assumptions on the nonlinear term, we prove the existence of a global attractor for fixed diffusion and that the limiting attractor for large diffusion is finite dimensional.…”
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New chaos-particle swarm optimization algorithm by Xiao-bo XU, Kang-feng ZHENG, Dan LI, Bin WU, Yi-xian YANG

“…The original particle swarm optimization (PSO)algorithm has the advantages of fast convergence,but with the shortcoming of premature and local convergence.To overcome this problem,a new chaos-particle swarm optimization algorithm was presented,which was different from the conventional method of replacing pre-particle.Instead,the algorithm in this paper made the motion of particles with characteristics of chaos，so as to make particles move between the state of chaos and stable,and gradually close to the optimal value.The nonlinear dynamics of the proposed Mathematical model are analyzed,and the results of the experiment show that the proposed algorithm can result in encouraging results.…”
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Optimally stable fifth-order integration methods: a numerical approach by D. J. Rodabaugh, S. Thompson

“…Also described is a practical and efficient nonlinear optimization procedure which made it possible to locate in a precise manner the methods of this type which possess optimal ranges of relative stability in the sense-that the corresponding relative stability regions contain maximal disks centered at the origin.…”
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On Differential Equations Derived from the Pseudospherical Surfaces by Hongwei Yang, Xiangrong Wang, Baoshu Yin

“…By employing the Bäcklund transformation, nonlinear superposition formulas of sinh-Gordon equation and elliptic sinh-Gordon equation are derived; various new exact solutions of the equations are obtained.…”
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Bifurcations of Tumor-Immune Competition Systems with Delay by Ping Bi, Heying Xiao

“…A tumor-immune competition model with delay is considered, which consists of two-dimensional nonlinear differential equation. The conditions for the linear stability of the equilibria are obtained by analyzing the distribution of eigenvalues. …”
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Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation by Ismahan Binshati, Harumi Hattori

“…Moreover, we use the result for Lp−Lq estimates to prove the decay rates for the nonlinear systems.…”
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Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays by R. Sakthivel, P. Revathi, N. I. Mahmudov

“…We study the existence and asymptotic stability in pth moment of a mild solution to a class of nonlinear fractional neutral stochastic differential equations with infinite delays in Hilbert spaces. …”
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A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media by Qian Zhang, Chao Huang

“…Based on physical mechanisms, the sweat transport can be viewed as the multicomponent flow that coupled the heat and moisture transfer, such that the system is nonlinear and strongly coupled. The leap-frog method is proposed to solve this system, with the second order accuracy in both spatial and temporal directions. …”
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The Existence of Cone Critical Point and Common Fixed Point with Applications by Wei-Shih Du

“…We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem. …”
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A Generalized Nonuniform Contraction and Lyapunov Function by Fang-fang Liao, Yongxin Jiang, Zhiting Xie

“…Moreover, we show that the stability of a nonuniform contraction persists under sufficiently small nonlinear perturbations.…”
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Fault Feature Extraction of the Gearbox based on Manifold Learning Algorithm by Ma Weijin, Zhang Lin, Zhang Jiping, Huang Bincheng, Luo Chaoyang

“…The manifold learning algorithm is a method of nonlinear data dimensionality reduction and can get available low dimensional geometry,it is also better reflects the nature of things. …”
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