Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems by Cheng Chen, Jiafa Xu, Donal O’Regan, Zhengqing Fu

“…We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.…”
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Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems by Yuhua Long, Haiping Shi

“…By employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discrete p-Laplacian operator. …”
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On Maximum Energy of Mechanical Systems Under Shock Disturbances by Dimitry V. Balandin

“…The method is demonstrated by calculating the maximal displacement in a second-order nonlinear system.…”
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Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces by Bilal Cekic, Rabil A. Mashiyev

“…In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)-Kirchhoff type with nonstandard growth condition.…”
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Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions by Tingting Qi, Yansheng Liu, Yujun Cui

“…Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. …”
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Linear and Riccati matrix equations by Lloyd K. Williams

“…In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients. Other nonlinear systems of triangular form are also solved completely.…”
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On oscillation of a food-limited population model with time delay by Leonid Berezansky, Elena Braverman

“…For a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. …”
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Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem by Yongping Sun, Qian Sun, Xiaoping Zhang

“…This paper is concerned with the existence and nonexistence of positive solutions for a nonlinear higher-order three-point boundary value problem. …”
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First-Order Three-Point Boundary Value Problems at Resonance Part III by Mesliza Mohamed, Bevan Thompson, Muhammad Sufian Jusoh

“…The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.…”
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Stability of Runge-Kutta Methods for Neutral Delay Differential Equations by Liping Wen, Xiong Liu, Yuexin Yu

“…This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. …”
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On mixed finite element techniques for elliptic problems by M. Aslam Noor

“…The main aim of this paper is to consider the numerical approximation of mildly nonlinear elliptic problems by means of finite element methods of mixed type. …”
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Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions by Xian-Feng Zhou, Song Liu, Zhixin Zhang, Wei Jiang

“…The monotonicity of the solutions of a class of nonlinear fractional differential equations is studied first, and the existing results were extended. …”
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Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications by Haiyan Gao, Na Liu, Liangshi Zhao

“…The proved results are used to investigate the solvability of certain nonlinear integral equations. Four examples are given.…”
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A Note on the Fractional Generalized Higher Order KdV Equation by Yongyi Gu

“…It has showed that the applied method is very useful and is practically well suited for the nonlinear differential equations, those arising in mathematical physics.…”
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Convergence of the New Iterative Method by Sachin Bhalekar, Varsha Daftardar-Gejji

“…A new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. …”
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Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations by Mohammad Reza Heidari Tavani

“…It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or at infinity. Our approach is based on the variational methods and critical point theory.…”
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Association of dust exposure with anxiety and depression in the occupational population: The important role of sleep duration by Zhuoheng Shen, Yue Sun, Yang Li, Qi Zhang, Yifei Liu, Jiyan Han, Jiafei Yang, Jiangping Li, Zhiyun Ha, Yaowen Yang, Zhihong Liu, Suzhen Guan, Jian Sun

“…Generalized additive models (GAM) were constructed to explore the nonlinear relationships between dust exposure duration, sleep duration, and mental health outcomes. …”
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The atherogenic index of plasma is associated with an increased risk of diabetes in non-obese adults: a cohort study by Jun Cao, Zhaohai Su, Jiangyong Yang, Bilong Zhang, Rengui Jiang, Weiling Lu, Zhenhua Huang, Zhenhua Huang, Zheng Xie

“…We also identified a nonlinear relationship between AIP and diabetes risk. …”
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Prognostic value of remnant-like particle cholesterol in ischemic heart failure patients following percutaneous coronary intervention by Xin Huang, Tienan Sun, Biyang Zhang, Meishi Ma, Zheng Chen, Zehao Zhao, Shutong Dong, Yujie Zhou

“…Multivariate Cox regression models were employed to investigate the correlation between RLP-C and the studied outcomes. The nonlinear relationship between RLP-C and MACE was examined through the restricted cubic spline (RCS). …”
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Study on the Regulation Effect of Optogenetic Technology on LFP of the Basal Ganglia Nucleus in Rotenone-Treated Rats by Zongya Zhao, Yanxiang Niu, Peiqi Chen, Yu Zhu, Liangliang Shi, Xuewei Zhao, Chang Wang, Yehong Zhang, Zhixian Gao, Wenshuai Jiang, Wu Ren, Renjun Gu, Yi Yu

“…In this paper, we want to study the nonlinear features of EEG signals in the striatum and globus pallidus through optogenetic stimulation of the substantia nigra compact part. …”
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