Controllability and Observability Analysis of Nonlinear Positive Discrete Systems by Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir

“…This article studies the controllability and observability of nonlinear positive discrete systems. These properties play a fundamental role in system analysis before controller and observer design is engaged. …”
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Viscosity solutions of fully nonlinear functional parabolic PDE by Liu Wei-an, Lu Gang

“…By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. …”
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On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation by Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov, N. M. A. Nik Long

“…We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. …”
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Nonlinear normalized fractional electroosmotic spacelike fluid model by Talat Körpinar, Zeliha Körpinar, Ali Akgül, Qasem Al-Mdallal

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On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications by Kelong Cheng, Chunxiang Guo, Qingke Zeng

“…Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. …”
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On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay by Fang Li, Ti-Jun Xiao, Hong-Kun Xu

“…Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. …”
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A model for the nonlinear mechanism responsible for cochlear amplification by Kimberly Fessel, Mark H. Holmes

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Design and Control of Nonlinear Mechanical Systems for Minimum Time by J.B. Cardoso, P.P. Moita, A.J. Valido

“…This paper presents an integrated methodology for optimal design and control of nonlinear flexible mechanical systems, including minimum time problems. …”
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Extinction in Two-Species Nonlinear Discrete Competitive System by Liqiong Pu, Xiangdong Xie, Fengde Chen, Zhanshuai Miao

“…We propose a nonlinear discrete system of two species with the effect of toxic substances. …”
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On the Existence of Positive Solutions of a Nonlinear Differential Equation by Sonia Ben Othman, Habib Mâagli, Noureddine Zeddini

“…We study some existence results for the nonlinear equation (1/A)(Au')'=uψ(x,u) for x∈(0,ω) with different boundary conditions, where ω∈(0,∞], A is a continuous function on [0,ω), positive and differentiable on (0,ω), and ψ is a nonnegative function on (0,ω)×[0,∞) such that t↦tψ(x,t) is continuous on [0,∞) for each x∈(0,ω). …”
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Nonlinear magnetoelectric effect in a ring composite heterostructure by V. I. Musatov, F. A. Fedulov, D. V. Savelev, E. V. Bolotina, L. Y. Fetisov

Subjects: “…nonlinear magnetoelectric effect…”
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Self-regulation in nonlinear dinamic system with inertial excitation by E. Astrauskienė, Irena Tiknevičienė, Liutauras Ragulskis

“… The motions of investigated mechanisms are principally nonlinear. The analysis of this problem is performed by using the method of two small parameters. …”
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Existence results for singular nonlinear BVPs in the critical regime by Francesca Anceschi, Giuseppina Autuori, Francesca Papalini

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Elastography Method for Reconstruction of Nonlinear Breast Tissue Properties by Z. G. Wang, Y. Liu, G. Wang, L. Z. Sun

“…Results demonstrate that the proposed nonlinear method opens the door toward nonlinear elastography and provides guidelines for future development and clinical application in breast cancer study.…”
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Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems by A. O. Lapich, M. Y. Medvedik

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Synchronization of spatiotemporal chaos using nonlinear feedback functions by M. K. Ali, Jin-Qing Fang

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Exact controllability for a nonlinear stochastic wave equation

“…The target and initial spaces are <mml:math> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mrow><mml:mo>(</mml:mo> <mml:mi>G</mml:mi> <mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:msup> <mml:mi>H</mml:mi> <mml:mrow> <mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mrow><mml:mo>(</mml:mo> <mml:mi>G</mml:mi> <mml:mo>)</mml:mo></mml:mrow> </mml:math> with <mml:math> <mml:mi>G</mml:mi> </mml:math> being a bounded open subset of <mml:math> <mml:msup> <mml:mi>R</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:math> and the nonlinear terms having at most a linear growth.</p>…”
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Adaptive Barrier Control for Nonlinear Servomechanisms with Friction Compensation by Shubo Wang, Haisheng Yu, Xuehui Gao, Na Wang

“…This model is incorporated into an augmented neural network (NN) to account for the unknown nonlinearities. Moreover, a barrier Lyapunov function (BLF) is utilized to each step in a backstepping design procedure. …”
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Efficient Transient Analysis for Large Locally Nonlinear Structures by Joshua H. Gordis, Jeffrey Radwick

“…The nonlinear synthesis in effect installs the nonlinear elements and calculates the nonlinear transient response. …”
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces by Aneta Sikorska-Nowak, Grzegorz Nowak

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