Transformation of CLF to ISS-CLF for Nonlinear Systems with Disturbance and Construction of Nonlinear Robust Controller with L2 Gain Performance by Keizo Okano, Kojiro Hagino, Hidetoshi Oya

“…A new nonlinear control law for a class of nonlinear systems with disturbance is proposed. …”
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Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity by Qing Meng, Bin He, Zhenyang Li

“…The (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. …”
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A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach by T. S. Jang

“…This paper presents a novel, general method that is aimed at identifying both the harmonic excitations and nonlinear damping of forced nonlinear oscillation systems. …”
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Nonlinearities Distribution Homotopy Perturbation Method Applied to Solve Nonlinear Problems: Thomas-Fermi Equation as a Case Study by U. Filobello-Nino, H. Vazquez-Leal, K. Boubaker, A. Sarmiento-Reyes, A. Perez-Sesma, A. Diaz-Sanchez, V. M. Jimenez-Fernandez, J. Cervantes-Perez, J. Sanchez-Orea, J. Huerta-Chua, L. J. Morales-Mendoza, M. Gonzalez-Lee, C. Hernandez-Mejia, F. J. Gonzalez-Martinez

“…We propose an approximate solution of T-F equation, obtained by using the nonlinearities distribution homotopy perturbation method (NDHPM). …”
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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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Nonlinear Effects of Environmental Regulation on Environmental Pollution by Yuncai Liu, Nengsheng Luo, Shusheng Wu

“…It then establishes some dynamic spatial autoregressive nonlinear econometric models to test the theoretical hypothesis based on 30-area panel data from 2004 to 2016. …”
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Remarks on the existence and decay of the nonlinear beam equation by Jaime E. Mũnoz Rivera

Subjects: “…nonlinear beam equation…”
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