Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems by Ruyun Ma

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Attractors of semigroups associated with nonlinear systems for diffusive phase separation by Nobuyuki Kenmochi

“…Our model is described by two functions, the absolutete temperature θ:=θ(t,x) and the order parameter w:=w(t,x), which are governed by a system of two nonlinear parabolic PDEs. The order parameter w is constrained to have double obstacles σ*≤w≤σ* (i.e., σ* and σ* are the threshold values of w). …”
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Nonlinear Pulse Shaping in Fibres for Pulse Generation and Optical Processing by Sonia Boscolo, Christophe Finot

“…Here, we review recent progress on the use of fibre nonlinearities for the generation and shaping of optical pulses and on the applications of advanced pulse shapes in all-optical signal processing. …”
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Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations by Wen-Xue Zhou, Ji-Gen Peng, Yan-Dong Chu

“…We present some new multiplicity of positive solutions results for nonlinear semipositone fractional boundary value problem D0+αu(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u'(1)=0, where 2<α≤3 is a real number and D0+α is the standard Riemann-Liouville differentiation. …”
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Global Distribution Adjustment and Nonlinear Feature Transformation for Automatic Colorization by Terumasa Aoki, Van Nguyen

“…In particular, our work concentrates on solving the second problem (designing a descriptive feature vector); namely, we will discuss how to learn a descriptive texture feature using scaled sparse texture feature combining with a nonlinear transformation to construct an optimal feature descriptor. …”
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Nonlinear Super Integrable Couplings of Super Classical-Boussinesq Hierarchy by Xiuzhi Xing, Jingzhu Wu, Xianguo Geng

“…Nonlinear integrable couplings of super classical-Boussinesq hierarchy based upon an enlarged matrix Lie super algebra were constructed. …”
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Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method by Emir Gülümser, Uğur Güdükbay, Sinan Filiz

“…We propose a fast stiffness matrix calculation technique for nonlinear finite element method (FEM). Nonlinear stiffness matrices are constructed using Green-Lagrange strains, which are derived from infinitesimal strains by adding the nonlinear terms discarded from small deformations. …”
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Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case by Y. Yousfi, I. Hadi, A. Benbrik

“…In this work, we search the existence shifting compliance optimal form of some boundary membrane, which is not elastic and not isotropic, generating nonlinear PDE. An optimal form of the elastic membrane described by the p-Laplacian is investigated. …”
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Nonlinear iterative approximation of steady incompressible chemically reacting flows by Gazca-Orozco, Pablo Alexei, Heid, Pascal, Süli, Endre

“…Furthermore, in the latter context, we prove the convergence of a nonlinear iteration scheme; the proposed scheme is remarkably simple and it amounts to solving a linear Stokes–Laplace system at each step. …”
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Nonlinear Modeling and Identification of an Aluminum Honeycomb Panel with Multiple Bolts by Yongpeng Chu, Hao Wen, Ti Chen

“…This paper focuses on the nonlinear dynamics modeling and parameter identification of an Aluminum Honeycomb Panel (AHP) with multiple bolted joints. …”
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Comparison Criteria for Nonlinear Functional Dynamic Equations of Higher Order by Taher S. Hassan, Said R. Grace

“…The results extend and improve some known results in the literature on higher order nonlinear dynamic equations.…”
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Approach in Theory of Nonlinear Evolution Equations: The Vakhnenko-Parkes Equation by V. O. Vakhnenko, E. J. Parkes

“…A variety of methods for examining the properties and solutions of nonlinear evolution equations are explored by using the Vakhnenko equation (VE) as an example. …”
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Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case by Josef Diblík, Denys Ya. Khusainov, Irina V. Grytsay, Zdenĕk Šmarda

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Approximation for Transient of Nonlinear Circuits Using RHPM and BPES Methods by H. Vazquez-Leal, K. Boubaker, L. Hernandez-Martinez, J. Huerta-Chua

“…Therefore, in this paper, rational homotopy perturbation method and Boubaker Polynomials Expansion Scheme are applied to a differential equation from a nonlinear circuit. Comparing the results obtained by both techniques revealed that they are effective and convenient.…”
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Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation by Mehdi Nadjafikhah, Mostafa Hesamiarshad

“…Lie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. …”
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Advanced Theory of Vibration (Nonlinear Vibration and One Dimensional Structures) by Eric E. Ungar

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Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems by M. A. Hajji, Q. M. Al-Mdallal

“…This paper presents a modified Galerkin method based on sinc basis functions to numerically solve nonlinear boundary value problems. The modifications allow for the accurate approximation of the solution with accurate derivatives at the endpoints. …”
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Solution of Nonlinear Fredholm Integral Equations on Almost Z⊥-Contraction by Gunasekaran Nallaselli, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Khalil Javed, Yahya Almalki

“…In this manuscript, we develop an orthogonal to basically Z-contraction and demonstrate various fixed point theorems of nonlinear Fredholm integral equation solutions in such a contraction. …”
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Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation by Mohamed M. S. Nasser

“…We consider a nonlinear integral equation which can be interpreted as a generalization of Theodorsen’s nonlinear integral equation. …”
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Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay by S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi, T. Abdeljawad (Maraaba)

“…In this line of taught in this paper we studied the stability of fractional order nonlinear time-delay systems for Caputo's derivative, and we proved two theorems for Mittag-Leffler stability of the fractional nonlinear time delay systems.…”
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