Investigation of Structural Nonlinearity Effects on the Aeroelastic and Wake Characteristics of a 15 MW Wind Turbine by Zhenju Chuang, Lulin Xia, Yan Qu, Wenhua Li, Jiawen Li

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Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity by Huxiao Luo, Shengjun Li, Wenfeng He

“…We consider the following fractional p-Laplacian equation: -Δpαu+V(x)up-2u=f(x,u)-Γ(x)uq-2u,  x∈RN, where N≥2, pα⁎>q>p≥2, α∈(0,1), -Δpα is the fractional p-Laplacian, and Γ∈L∞(RN) and Γ(x)≥0 for a.e. x∈RN. f has the subcritical growth but higher than Γ(x)uq-2u; however, the nonlinearity f(x,u)-Γ(x)uq-2u may change sign. If V is coercive, we investigate the existence of ground state solutions for p-Laplacian equation.…”
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Hysteresis Nonlinearity Identification Using New Preisach Model-Based Artificial Neural Network Approach by Mohammad Reza Zakerzadeh, Mohsen Firouzi, Hassan Sayyaadi, Saeed Bagheri Shouraki

“…It is shown that the proposed ANN-based Preisach model can identify hysteresis nonlinearity more accurately than the classical one. …”
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The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity by Jiangyan Yao, Wei Han

“…In this paper, we firstly discuss the existence of the least energy sign-changing solutions for a class of p-Kirchhoff-type problems with a (2p-1)-linear growth nonlinearity. The quantitative deformation lemma and Non-Nehari manifold method are used in the paper to prove the main results. …”
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Six-wave interaction in multimode waveguides with Kerr nonlinearity with allowance for the Gaussian structure of pump waves by V.V. Ivakhnik, D.R. Kapizov, V.I. Nikonov

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Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity by Zhongsheng Chen, Bin Guo, Congcong Cheng, Hongwu Shi, Yongmin Yang

“…Nonlinear magnetic forces are always used to enlarge resonant bandwidth of vibration energy harvesting systems with piezoelectric cantilever beams. …”
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The Local Stability of Solutions for a Nonlinear Equation by Haibo Yan, Ls Yong

“…The approach of Kruzkov’s device of doubling the variables is applied to establish the local stability of strong solutions for a nonlinear partial differential equation in the space L1(R) by assuming that the initial value only lies in the space L1(R)∩L∞(R).…”
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On the existence of bounded solutions of nonlinear elliptic systems by Abdelaziz Ahammou

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Optimal Variational Method for Truly Nonlinear Oscillators by Vasile Marinca, Nicolae Herişanu

“…The Optimal Variational Method (OVM) is introduced and applied for calculating approximate periodic solutions of “truly nonlinear oscillators”. The main advantage of this procedure consists in that it provides a convenient way to control the convergence of approximate solutions in a very rigorous way and allows adjustment of convergence regions where necessary. …”
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Perturbations of normally solvable nonlinear operators, I by William O. Ray, Anita M. Walker

“…Let X and Y be Banach spaces and let ℱ and 𝒢 be Gateaux differentiable mappings from X to Y In this note we study when the operator ℱ+𝒢 is surjective for sufficiently small perturbations 𝒢 of a surjective operator ℱ The methods extend previous results in the area of normal solvability for nonlinear operators.…”
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Advance in Nonlinear Analysis: Algorithm, Convergence, and Applications by Yisheng Song, Rudong Chen, Guoyin Li, Changsen Yang

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Norm inflation for the derivative nonlinear Schrödinger equation by Wang, Yuzhao, Zine, Younes

“…In this note, we study the ill-posedness problem for the derivative nonlinear Schrödinger equation (DNLS) in the one-dimensional setting. …”
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Hybrid Feedback Stabilization of Fuzzy Nonlinear Systems by Yingqi Zhang, Caixia Liu, Xiaowu Mu

“…This paper is concerned with the problem of stabilizing one family of fuzzy nonlinear systems by means of fuzzy quantized feedback. …”
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On pz–Laplacian System Involving Critical Nonlinearities by Ahmed Aberqi, Jaouad Bennouna, Omar Benslimane, Maria Alessandra Ragusa

“…In this paper, we deal with the existence of at least two nonnegative nontrivial solutions to a pz–Laplacian system involving critical nonlinearity in the context of Sobolev spaces with variable exponents on complete manifolds. …”
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Nonlinear optical imaging of two-dimensional nanomaterials by Frederico B. Sousa, Frederico B. Sousa, Lucas Lafeta, Gladystone R. Fonseca, Ana M. de Paula

Subjects: “…nonlinear imaging…”
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Bifurcation and Chaos Prediction in Nonlinear Gear Systems by Anooshirvan Farshidianfar, Amin Saghafi

“…The numerical simulation of the system including bifurcation diagram, phase plane portraits, Fourier spectra, and time histories is considered to confirm the analytical predictions for the occurrence of homoclinic bifurcation and chaos in nonlinear gear systems.…”
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New solutions to a category of nonlinear PDEs by Bacui Li, Fuzhang Wang

“…The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. …”
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Losslessness of Nonlinear Stochastic Discrete-Time Systems by Xikui Liu, Yan Li, Ning Gao

“…This paper will study stochastic losslessness theory for nonlinear stochastic discrete-time systems, which are expressed by the Itô-type difference equations. …”
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Positive solutions for nonlinear elastic beam models by Bendong Lou

“…We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. Moreover, by modifying the main conditions in the conjecture (generalizing the original ones at some points), we get positive results, that is, we obtain the existence of positive solutions for the models.…”
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Characterizations of Nonlinear Lie Derivations of B(X) by Donghua Huo, Baodong Zheng, Hongyu Liu

“…Let X be an infinite dimensional Banach space, and Φ:B(X)→B(X) is a nonlinear Lie derivation. Then Φ is the form δ+τ where δ is an additive derivation of B(X) and τ is a map from B(X) into its center ZB(X), which maps commutators into the zero.…”
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