Boundary Value Problems for Systems of Second-Order Dynamic Equations on Time Scales with Δ-Carathéodory Functions by M. Frigon, H. Gilbert

“…First, we consider the case where the nonlinearity f does not depend on the Δ-derivative, xΔ(t). …”
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CLIMATE FACTOR CONSIDERATION DURING ENERGY SAVING POTENTIAL ESTIMATION AT THE LEVEL OF INDIVIDUAL COUNTRIES AND REGIONS by N. A. Kislenko, Yu. S. Kopylova

“…The approach to the allocation of climate factors, that influence on gas consumption with consideration of their interdependence, nonlinearity and inertia of factors has been reviewed. …”
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Parametric design and numerical analysis of super long span upper-support thrust-bearing concrete arch bridge by Yaojun Ge, Linqian Zheng, Zhuozhang Deng, Genshen Fang

“…Research on the impact of nonlinearity reveals that material nonlinearity has a much greater impact on ultimate bearing capacity than geometric nonlinearity. …”
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Collapse Analysis of Transmission Tower Subjected to Earthquake Ground Motion by Xiaohong Long, Wei Wang, Jian Fan

“…The collapse of transmission towers involves a series of complex problems, including geometric nonlinearity, material nonlinearity, dynamic nonlinearity, and the failure of members. …”
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Adaptive Neural Networks Synchronization of a Four-Dimensional Energy Resource Stochastic System by Duo Meng

“…Assuming the response system contains unknown uncertain nonlinearities and unknown stochastic disturbances, the neural networks and robust terms are used to identify the nonlinearities and overcome the stochastic disturbances, respectively. …”
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Stabilization of Two Electricity Generators by Dany Ivan Martinez, José de Jesús Rubio, Arturo Aguilar, Jaime Pacheco, Guadalupe Juliana Gutierrez, Victor Garcia, Tomas Miguel Vargas, Genaro Ochoa, David Ricardo Cruz, Cesar Felipe Juarez

“…In this research, a sliding mode regulator with sine mapping is suggested for the stabilization of electricity generators being affected by magnet interaction nonlinearities and generator nonlinearities. To reach this goal, our suggested regulator has the following contributions: (a) it starts from the sliding mode regulator with the modifications that the saturation mapping is used to reach a smoother performance instead of the signum mapping, and the sine mapping is applied to reach an upper bound in the proportional gain error, (b) it is used to reach some chosen constant behaviors for the angle position, angle speed, and current in the electricity generators, and (c) its stabilization is ensured based on the Lyapunov approach. …”
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A PFM-Based Calibration Method for Low-Power High-Linearity Digital Pixel by Yu Cheng, Jionghan Liu, Xiyuan Wang, Hongyu Hou, Qian Jiang, Yuchun Chang

“…The nonlinearity problem of digital pixels restricts the reduction in power consumption at the pixel-level circuit. …”
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Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations by Qiao-zhen Ma, Yong-feng Liu, Fang-hong Zhang

“…We study the existence of global attractors for nonclassical diffusion equations in H1(ℝN). The nonlinearity satisfies the arbitrary order polynomial growth conditions.…”
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Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian by Guowei Dai, Chunfeng Yang

“…We prove existence and multiplicity of positive solutions for semipositone problems involving p-Laplacian in a bounded smooth domain of ℝN under the cases of sublinear and superlinear nonlinearities term.…”
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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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STUDY ON THE ACTIVE VIBRATION SUPPRESSION METHOD OF HYDROSTATIC SLIDE OF MACHINE TOOL BASED ON MR DAMPER by ZHANG ZhongKui, GAO Feng, LI Yan, YAN YangYang

“…The amplitude-frequency curve changes from hardening type nonlinearity to softening type nonlinearity with the increase of the current of damper slowly, and may lead to hysteresis region narrowing, disappear and secondary jump. …”
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Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data by Ferriere, Guillaume, Hillairet, Matthieu

“…Doing so, we introduce a further nonlinearity to the classical Navier Stokes equations. …”
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Multiplicity of Positive Solutions for Semilinear Elliptic Systems by Tsing-San Hsu

“…We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. …”
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Two-point boundary value problems involving reflection of the argument by Chaitan P. Gupta

“…Two point boundary value problems involving reflection of the argument are studied. The nonlinearity involved is allowed to cross asymptotically any number of eigenvalues of the associated linear eigenvalue problem as long as those crossings take place in subsets of sufficiently small measure.…”
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Design and Analysis of Combined Valve Spool with Linear Flow Coefficient by Changxiong Xie, Heng Su, Jun Yang, Zhongjing He

“…In fact, the flow discharge has obvious nonlinearity under the condition of small opening and small pressure difference of the valve port, which makes the electro-hydraulic servo system more difficult to control. …”
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Blow-up solutions to the semilinear wave equation with overdamping term by Liu, Miaomiao, Guo, Bin

“…This article deals with the Cauchy problem to the following damped wave equation \begin{equation*} {\left\lbrace \begin{array}{ll} u_{tt}-\Delta u+b(t) u_t=M(u),~&(t,x)\in R^{+}\times R^{N},\\ u(0,x)=u_0(x),~u_t(0,x)=u_1(x),~&x\in R^{N}, \end{array}\right.}CP \end{equation*} with the focusing nonlinearity $M(u)=|u|^{p-1}u,~p>1.$ For the focusing nonlinearity $M(u)=\pm |u|^{p},~p>1,$ Ikeda and Wakasugi in [8] have showed that the solution to Problem (CP) exists globally for small data and fails to exist globally for large data. …”
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Positive Solutions for a Class of Discrete Mixed Boundary Value Problems with the p,q-Laplacian Operator by Cuiping Li, Zhan Zhou

“…By using critical points theory, we obtain the existence of at least two positive solutions for the boundary value problem under appropriate assumptions on the nonlinearity.…”
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Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions by N. I. Mahmudov, S. Unul

“…Existence and uniqueness of solutions for α∈(2,3] order fractional differential equations with three-point fractional boundary and integral conditions involving the nonlinearity depending on the fractional derivatives of the unknown function are discussed. …”
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Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems by Yongqing Wang

“…The interesting point lies in that the assumption on nonlinearity is closely associated with the spectral radius corresponding to the relevant linear operator.…”
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Ultimate Bearing Capacity of Strip Foundations in Unsaturated Soils considering the Intermediate Principal Stress Effect by Qing Yan, Junhai Zhao, Changguang Zhang, Jintai Wang

“…Besides, the effect of strength nonlinearity is discussed with two methods representing the angle φb.…”
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