Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations on RN by Yu Duan, Chun-Lei Tang

“…We will show that if the nonlinearities are asymptotically linear at infinity and λ>0 is sufficiently small, the Kirchhoff type equations have at least two positive solutions. …”
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Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations by Hong-Rui Sun, Ya-Ning Li, Juan J. Nieto, Qing Tang

“…This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. …”
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Proton response and neutron spectrum unfolding by solution-grown trans-stilbene scintillator by Nguyen Duy Quang, H. J. Kim, Sunghwan Kim, Sinchul Kang, Phan Quoc Vuong, Phan Bao Quoc Hieu, Nguyen Kien Cuong, Y. S. Yoon, Uk-Won Nam

“…The photomultiplier tube nonlinearity effect was studied and corrected for high-energy measurement. …”
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A model of redistribution of dopant in a multilayer structure with changing overgrowth regime by E. L. Pankratov

“…The approach makes it possible to take into account the changing parameters of the considered process in space and time together, as well as the nonlinearity of the mass transport.…”
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Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition by Elliot Tonkes

“…The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the compactness in the Palais Smale condition and the order of the nonlinearity in the operator. The main result is applied to estimate the asyptotic behaviour of solutions to a class of semilinear elliptic equations with a critical Sobolev exponent.…”
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Linear viscoelastic models from creep and complex modulus testing in soil-emulsion by Paulo Mateus Barros Rodrigues, Silvrano Adonias Dantas Neto, Lucas Feitosa de Albuquerque Lima Babadopulos, Jorge Luiz Oliveira Lucas Júnior

“…The model exhibited satisfactory adjustments to the creep test results, even in the nonlinearity domain. The differences between the strains predicted by the model and those defined experimentally were considered within an acceptability limit for geotechnical materials, and the introduction of a modulus decrease coefficient of approximately 65% was sufficient to simulate the nonlinearity effect in the 2S2P1D model.…”
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Existence of Multiple High-Energy Solutions for a Kind of Superlinear Second-Order Elliptic Equations by Fangfang Huang, Qiongfen Zhang

“…Under some suitable assumptions on the potential function and nonlinearity, by using variational methods and the method of Nehari manifold, we obtain the existence result of infinitely many high energy solutions for this kind of systems, which improves many relative results in the literature.…”
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Multiplicity of Quasilinear Schrödinger Equation by Xiaorong Luo, Anmin Mao, Xiangxiang Wang

“…In this paper, we study the quasilinear Schrödinger equation involving concave and convex nonlinearities. When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely many negative energy solutions by using some new techniques and dual fountain theorem. …”
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New Neumann System Associated with a 3 × 3 Matrix Spectral Problem by Fang Li, Liping Lu

“…The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense. …”
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A New Digital to Analog Converter Based on Low-Offset Bandgap Reference by Jinpeng Qiu, Tong Liu, Xubin Chen, Yongheng Shang, Jiongjiong Mo, Zhiyu Wang, Hua Chen, Jiarui Liu, Jingjing Lv, Faxin Yu

“…The measured differential nonlinearity (DNL) of the output voltages is less than 0.45 LSB and integral nonlinearity (INL) less than 1.5 LSB at room temperature, consuming only 3.5 mW from a 5 V supply voltage. …”
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Limitations of Smoothening Functions for Automotive Vibro-Impact Problems by Zhiwei Zhang, Rajendra Singh, Ashley R. Crowther

“…Nonlinear torsional models are used to analyze automotive transmission rattle problems and find solutions to reduce noise, vibration and dynamic loads. …”
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Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions by Motlatsi Molati, Chaudry Masood Khalique

“…We show that several cases arise in classifying the arbitrary parameters, the forms of which include amongst others the power law nonlinearity, and exponential and quadratic forms.…”
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MODELING OF THE TEMPERATURE DISTRIBUTION DENSITY FUNCTION IN A DETAIL AT A CONSTANT HEATING TEMPERATURE by A. N. Chichko, S. g Likhousov, O. A. Sachek, O. I. Chichko, T. V. Matyushinets

“…It was shown that the difference between the maximum and minimum temperatures of the detail varies nonlinearly with the time of heating the detail in the furnace. …”
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Mathematical and Simulation Model Development of Switched Reluctance Motor by S. V. Aleksandrovsky, Y. N. Petrenko

“…A SRM disadvantage is a nonlinearity of its characteristics. Due to this reason it is desirable to execute investigations using a developed simulation model. …”
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An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems by Yongxiang Li, Yaya Shang

“…An existence result of positive solutions is obtained for the fully second-order boundary value problem  -u′′(t)=f(t,u(t),u′(t)),  t∈[0,1],  u(0)=u(1)=0, where f:[0,1]×R+×R→R is continuous. The nonlinearity f(t,x,y) may be sign-changing and superlinear growth on x and y. …”
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Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems by Guizhen Zhi, Yunrui Guo, Yan Wang, Qihu Zhang

“…This paper investigates the existence of solutions for a class of variable exponent integrodifferential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub-(p−−1) growth condition or general growth condition, we give the existence of solutions and nonnegative solutions via Leray-Schauder degree at nonresonance, respectively. …”
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Bifurcation from Infinity and Resonance Results at High Eigenvalues in Dimension One by José L. Gámez, Juan F. Ruiz-Hidalgo

“…From the global shape of the nonlinearity g we obtain computable integral values which will decide the behavior of the bifurcations and, consequently, the possibility of finding solutions of the resonant problems.…”
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Fuzzy-Swarm Intelligence-Based Short-Term Load Forecasting Model as a Solution to Power Quality Issues Existing in Microgrid System by Demsew Mitiku Teferra, Livingstone M. H. Ngoo, George N. Nyakoe

“…The loads are categorized as holiday loads (national and religious), weekdays, and weekend days. The nonlinearity and uncertain characteristics of electrical load in a microgrid are one of the major sources of power quality problems in a microgrid system, and they can be handled using an accurate load forecast model. …”
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Brezis Nirenberg type results for local non-local problems under mixed boundary conditions by Lovelesh Sharma

“…., the combination of classical Laplace operator and fractional Laplace operator) and critical nonlinearity. Also, we focus on identifying the optimal constant in the mixed Sobolev inequality, which we show is never achieved. …”
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N-Laplacian equations in ℝN with critical growth by João Marcos B. do Ó

“…., a(x)→∞ as |x|→∞ and the nonlinearity f behaves like exp(α|u|N/(N−1)) when |u|→∞.…”
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