Nonstationary Heat Equation with Nonlinear Side Condition by Tomas Belickas, Kristina Kaulakytė, Gintaras Puriuškis

Subjects: “…nonstationary heat equation, inverse problem, very weak solution, nonlinear side condition…”
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The Stability of Nonlinear Differential Systems with Random Parameters by Josef Diblík, Irada Dzhalladova, Miroslava Růžičková

“…The paper deals with nonlinear differential systems with random parameters in a general form. …”
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Gaussian Pyramid for Nonlinear Support Vector Machine by Rawan Abo Zidan, George Karraz

“…Despite its generalization capability, SVM is usually posed as a quadratic programming (QP) problem to find a separation hyperplane in nonlinear cases. This needs huge quantities of computational time and memory for large datasets, even for moderately sized ones. …”
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A Simple Solution and Dilatancy Characterization for a Circular Tunnel Excavated in the Nonlinear Strain-Softening and Nonlinear Dilatancy Rock Mass by Xiuling Wang

“…This solution allows for the description of the intermediate principal stress effect, the nonlinear strain-softening and dilatancy behaviors of the rock mass. …”
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Exploring the thermal-induced optical nonlinearity of crude oil via spatial self-phase modulation technique by Moein Golestanifar, Mohammad Ali Haddad, Amir Namiq Hassan, Kianoush Pakravan

Subjects: “…Nonlinear optics…”
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Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity by Shuting Chang, Yaojun Ye

“…This paper investigated the blow-up properties of solutions to the initial value problem for a fourth-order nonlinear parabolic equation with an exponential source term. …”
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Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity by Xinguang Zhang, Lixin Yu, Jiqiang Jiang, Yonghong Wu, Yujun Cui

“…The interesting points are that the nonlinearity can be singular at the second and third variables and be changing-sign.…”
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A Synchronous Machine Transient Model Based upon an Algebraic Loop Accounting for Nonlinearity and Cross-Magnetization by R. Felicetti, U. Lundin

“…The purpose of this paper is to carry out an alternative to the present transient models for field wound synchronous machines, which is able to take into account the nonlinearity of the magnetic materials as well as the cross-magnetization. …”
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Multiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions by Tsing-San Hsu

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A Retrospection of Chaotic Phenomena in Electrical Systems by Umesh Kumar

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Haar Wavelet Method for Nonlinear Vibration of Functionally Graded CNT-Reinforced Composite Beams Resting on Nonlinear Elastic Foundations in Thermal Environment by Jianyu Fan, Jin Huang

“…This paper presents a simple and effective approach based on the Haar wavelet discretization method (HWDM) for the nonlinear vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams resting on a nonlinear elastic foundation in a thermal environment. …”
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The Elliptic Harmonic Balance Method for the Performance Analysis of a Two-Stage Vibration Isolation System with Geometric Nonlinearity by Weilei Wu, Bin Tang

“…This study develops a modified elliptic harmonic balance method (EHBM) and uses it to solve the force and displacement transmissibility of a two-stage geometrically nonlinear vibration isolation system. Geometric damping and stiffness nonlinearities are incorporated in both the upper and lower stages of the isolator. …”
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Tuning Electrical Conductivity and Ultrafast Optical Nonlinearity of Reduced-GO Films Ablated by Femtosecond Laser Direct Writing by Youliang Tao, Xuefeng Zhang, Han Wang, Zhongquan Nie, Deng Pan

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Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity by Qiying Wei, You-Hui Su, Subei Li, Xing-Xue Yan

“…By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an 𝑚-point singular 𝑝-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (𝕋=ℝ) and difference equations (𝕋=ℤ), as well as in general time scales setting. …”
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Models, systems, networks in economics, engineering, nature and society by S.V. Chuprov, A.V. Babkin

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Modular multilevel converter periodic trajectory determination — A generic Fourier-based collocation method by Philippe De Rua, Jef Beerten

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Nonlinear Vibration Analysis of Submerged Floating Tunnel Tether by Sheng-nan Sun, Zhi-bin Su, Yun-fen Feng

“…To study the nonlinear vibration characteristics of submerged floating tunnel tether, the nonlinear vibration partial differential equation of tether is set up, in which the inclination, sag, initial tension force, and length of tether are taken into account. …”
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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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