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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An optimal control problem in economics by Jannett Highfill, Michael McAsey

“…It is shown that the existence of an optimal extraction path is not guaranteed by a utility function that is merely (strictly) concave, but that the additional requirement of asymptotic nonlinearity will assure the existence of the desired optimum.…”
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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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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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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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On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals by Lufeng Gu, Qiuyan Zhong, Zhuyan Shao

“…The nonlinearity possesses singularities on both its time and space variables. …”
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Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting by Yunliang Zhang, Zhidong Guo

“…One is the strong nonlinearity of the system. The other is that the state function is not fixed.…”
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Traveling wave solutions of a hybrid KdV-Burgers equation with arbitrary real coefficients in relation with beam-permeated multi-ion plasma fluids by Kuldeep Singh, Steffy Sara Varghese, Ioannis Kourakis

“…Contrary to widespread belief (based on a beam-free plasma description), an investigation of nonlinear electrostatic waves in beam-permeated plasmas reveals that the sign(s) of all (any) of the coefficients (a, b or c) may be reversed, independently from each other, depending on the beam velocity (value). …”
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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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Action potential-like modes as modulated waves in an extended soliton model for biomembranes and nerves by J. A. Onana Inouga, S. E. Mkam Tchouobiap, M. Siewe Siewe, F. M. Moukam Kakmeni

“…A modulational instability (MI) analysis demonstrates the increase of the modulation gain in the system with increasing fourth-order nonlinearity, indicating that the higher-order nonlinearities influence the MI in the proposed extended soliton model. …”
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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 Positive Bounded Solutions of Semilinear Elliptic Problems by Faten Toumi

“…This paper is concerned with the existence of bounded positive solution for the semilinear elliptic problem Δu=λp(x)f(u) in Ω subject to some Dirichlet conditions, where Ω is a regular domain in ℝn (n≥3) with compact boundary. The nonlinearity f is nonnegative continuous and the potential p belongs to some Kato class K(Ω). …”
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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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Modified Hybrid Discriminant Analysis Methods and Their Applications in Machine Learning by Liwen Huang

“…This paper presents a new hybrid discriminant analysis method, and this method combines the ideas of linearity and nonlinearity to establish a two-layer discriminant model. …”
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Existence and Multiplicity of Solutions to Discrete Conjugate Boundary Value Problems by Bo Zheng

“…A generalized asymptotically linear condition on the nonlinearity is proposed, which includes the asymptotically linear as a special case. …”
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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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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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A Novel Construction of Substitution Box Based on Polynomial Mapped and Finite Field With Image Encryption Application by Abid Mahboob, Muhammad Asif, Imran Siddique, Aysha Saleem, Muhammad Nadeem, Dariusz Grzelczyk, Jan Awrejcewicz

“…In the modern block cipher, the substitution box (S-box) is a nonlinear constituent that plays a substantial role to create the confusion in ciphertext. …”
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RETRACTED ARTICLE: Associations of composite dietary antioxidant index with cardiovascular disease mortality among patients with type 2 diabetes by Chan Yang, Qiangfei Yang, Xi Peng, Xinqiong Li, Guocheng Rao

“…Restricted cubic spline analyses were utilized to explore the nonlinear association of CDAI with CVD mortality, and nonlinearity was tested by the likelihood ratio test. …”
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U-shaped association between TC/HDL-C ratio and osteoporosis risk in older adults by Chuanwei Zhao, Xiaochun Zhang, Xu Zhang, Bo Zhao, Yane Yang, Mu Lin, Wenli Qiao, Zeyao Hu, Haijie Yang

“…In sex-specific analyses, a U-shaped relationship was found in women, with a threshold at 4.35 (p for nonlinearity = 0.0016), but no significant association was found in men. …”
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