The Existence of Positive Solutions for Singular Impulse Periodic Boundary Value Problem by Zhaocai Hao, Tanggui Chen

“…We obtain new result of the existence of positive solutions of a class of singular impulse periodic boundary value problem via a nonlinear alternative principle of Leray-Schauder. …”
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Convergence of Solutions to a Certain Vector Differential Equation of Third Order by Cemil Tunç, Melek Gözen

“…We give some sufficient conditions to guarantee convergence of solutions to a nonlinear vector differential equation of third order. …”
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Some results on boundary value problems for functional differential equations by P. Ch. Tsamatos, S. K. Ntouyas

“…The results are based on the nonlinear Alternative, of Leray-Schauder and rely on a priori bounds on solutions. …”
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Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition by Assia Guezane-Lakoud, Hamidane Nacira, Khaldi Rabah

“…The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. …”
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Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials by Defang Ma, Zhan Zhou

“…A class of difference equations which include discrete nonlinear Schrödinger equations as special cases are considered. …”
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A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions by Wafa Shammakh

“…Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. …”
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Exact Traveling Wave Solutions to the (2 + 1)-Dimensional Jaulent-Miodek Equation by Yongyi Gu, Bingmao Deng, Jianming Lin

“…It has presented that the applied method is very efficient and is practically well suited for the nonlinear differential equations that arise in mathematical physics.…”
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Association between triglyceride-glucose index and its composite obesity indexes and cardio-renal disease: analysis of the NHANES 2013-2018 cycle by Yu Wu, Chengsen Liu, Jiandong Cao

“…The TYG index was correlated most strongly with CKD (OR 1.42, 95% CI 1.11, 1.82; P = 0.007), while TyG-WHtR had the strongest correlations with CVD (OR 1.63, 95% CI 1.19, 2.22; P = 0.003) and CRS (OR 1.44, 95% CI 1.00, 2.08; P = 0.055). A nonlinear connection was found by RCS analysis between TYG and its composite obesity indexes with CKD (P for overall < 0.001, P for nonlinear < 0.05), while the association with CVD and CRS was predominantly linear (P for overall < 0.001, P for nonlinear > 0.05). …”
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Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation by Ying Zhang, Congming Peng

“…In this paper, a family of the weakly dissipative periodic Camassa-Holm type equation cubic and quartic nonlinearities is considered. The precise blow-up scenarios of strong solutions and several conditions on the initial data to guarantee blow-up of the induced solutions are described in detail. …”
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian by Qing-Mei Zhou

“…A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. …”
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Some Difference Inequalities for Iterated Sums with Applications by Wu-Sheng Wang, Shanhe Wu

“…The main objective of this paper is to establish two new nonlinear sum-difference inequalities with multiple iterated sums. …”
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Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor-Lagrange Remainder by Isaac Fried

“…The asymptotic form of the Taylor-Lagrange remainder is used to derive some new, efficient, high-order methods to iteratively locate the root, simple or multiple, of a nonlinear function. Also derived are superquadratic methods that converge contrarily and superlinear and supercubic methods that converge alternatingly, enabling us not only to approach, but also to bracket the root.…”
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Synchronization of the Fractional-Order Brushless DC Motors Chaotic System by Shiyun Shen, Ping Zhou

“…Based on the extension of Lyapunov direct method for nonlinear fractional-order systems, chaos synchronization for the fractional-order Brushless DC motors (BLDCM) is discussed. …”
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Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method by Mehmet Merdan, Ahmet Gökdogan, Ahmet Yıldırım, Syed Tauseef Mohyud-Din

“…It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonlinear partial equations. Exact solutions can also be obtained from the known forms of the series solutions.…”
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Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space by K. Chakrabarti

“…Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered G-metric space. …”
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On the recursive sequence xn+1=−1/xn+A/xn−1 by Stevo Stević

“…We investigate the periodic character of solutions of the nonlinear difference equation xn+1=−1/xn+A/xn−1. We give sufficient conditions under which every positive solution of this equation converges to a period two solution. …”
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Hypertriglyceridemic Waist Phenotype and Lipid Accumulation Product: Two Comprehensive Obese Indicators of Waist Circumference and Triglyceride to Predict Type 2 Diabetes Mellitus... by Minrui Xu, Mingtao Huang, Deren Qiang, Jianxin Gu, Yong Li, Yingzi Pan, Xingjuan Yao, Wenchao Xu, Yuan Tao, Yihong Zhou, Hongxia Ma

“…There were additive interactions of HTGW (synergy index (SI): 1.678, 95% CI: 1.358-2.072) and high LAP (SI: 1.701, 95% CI: 1.406-2.059) with increased fasting plasma glucose (FPG) on the risk of T2DM. Additionally, a nonlinear (P nonlinear < 0.001) dose-response association was found between LAP and T2DM. …”
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Shaking Table Study on the Seismic Performance of Geogrid Reinforced Soil Retaining Walls by Xiaoguang Cai, Sihan Li, Honglu Xu, Liping Jing, Xin Huang, Chen Zhu

“…The friction coefficient is nonlinearly distributed along with the reinforcements, and the maximum friction coefficient appears at the top layer (F11).…”
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Research Progress in Computational Methods for System-Level Coupling of Electromagnetic Pulse by Haiyan Xie, Jianguo Wang

“…Their abilities to analyze nonlinear systems are examined. The transient EMT method is not only applicable to nonlinear cases but can also be easily integrated with circuit or device analysis. …”
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Evaluation of the Autoparametric Pendulum Vibration Absorber for a Duffing System by Benjamın Vazquez-Gonzalez, Gerardo Silva-Navarro

“…In the absorber frequency response can be appreciated a good absorption capability for certain ranges of nonlinear stiffness and the internal coupling is maintained by the existing damping between the pendulum and the primary system. …”
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