Some Reduction and Exact Solutions of a Higher-Dimensional Equation by Guangming Wang, Zhong Han

“…It can be verified that the reduced equation is a second order nonlinear ODE. Finally, some exact solutions of the Zakharov-Kuznetsov equation were constructed after solving the reduced equation.…”
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Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model by Minoru Tabata, Nobuoki Eshima

“…We extend the discrete nonlinear operator contained in the wage equation as a set-valued operator. …”
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Best Proximity Point Results for MK-Proximal Contractions by Mohamed Jleli, Erdal Karapınar, Bessem Samet

“…The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x↦d(x,Tx), where T belongs to a new class of contractive mappings. …”
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On the Computation of Degenerate Hopf Bifurcations for n-Dimensional Multiparameter Vector Fields by Michail P. Markakis, Panagiotis S. Douris

“…The restriction of an n-dimensional nonlinear parametric system on the center manifold is treated via a new proper symbolic form and analytical expressions of the involved quantities are obtained as functions of the parameters by lengthy algebraic manipulations combined with computer assisted calculations. …”
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A Numerical Method for Delayed Fractional-Order Differential Equations by Zhen Wang

“…A numerical method for nonlinear fractional-order differential equations with constant or time-varying delay is devised. …”
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Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative by A. K. Mishra, P. Gochhayat

“…The sharp bound for the nonlinear functional |a2a4−a32| is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.…”
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Mapping error in the parallel realizations of SAMANN algorithm by Viktor Medvedev, Gintautas Dzemyda

“…We investigate an unsupervised back-propagation algorithm to train a multilayer feed-forward neural network (SAMANN) to perform the Sammoil's nonlinear projection and propose a parallel algorithm for SAMANN network.   …”
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Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition by Xiliu Li, Chunlai Mu, Qingna Zhang, Shouming Zhou

“…This paper deals with a nonlinear p-Laplacian equation with singular boundary conditions. …”
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First-Order Three-Point Boundary Value Problems at Resonance Part III by Mesliza Mohamed, Bevan Thompson, Muhammad Sufian Jusoh

“…The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.…”
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Regularity for Variational Evolution Integrodifferential Inequalities by Yong Han Kang, Jin-Mun Jeong

“…We deal with the regularity for solutions of nonlinear functional integrodifferential equations governed by the variational inequality in a Hilbert space. …”
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Torsional Vibrations at Guide-Vane Shaft of Pump–Turbine Model by Andrej Predin

“…The mathematical models for theoretical torsional vibration prediction formulated using linear and nonlinear differential equations are presented. The results of theoretical calculations are compared with measurement results. …”
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Modified Hybrid Discriminant Analysis Methods and Their Applications in Machine Learning by Liwen Huang

“…This paper presents a new hybrid discriminant analysis method, and this method combines the ideas of linearity and nonlinearity to establish a two-layer discriminant model. …”
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Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments by Mahdi Namazi Nezamabadi, Saeed Pishbin

“…We also investigate solvability of the obtained nonlinear system with infinite dimensional space and examine the convergence analysis of this method under the L2− norm. …”
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Research of the Effect of Clearance on the Dynamic Characteristic of the Articulated Mechanism by Deng Yong, Liu Fuyun, Yang Mengjie, Wu Jianwei, Gan Lin

“…In order to study the effect of joint clearance on the dynamic characteristic of the articulated mechanism,an improved nonlinear contact collision model is established. By modifying the contact collision parameters,the contact state of collision is accurately described. …”
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On Convergence of the Explicit Difference Scheme for Evolution Variational Inequality with Nonlocal Space Operator by O.V. Glazyrina, M.F. Pavlova

“…Nonlinear parabolic variational inequality with a nonlocal space operator monotone with respect to the gradient is considered. …”
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Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator by Saleh Alshammari, Naveed Iqbal, Mohammad Yar

“…Compared to other methods of finding approximate and exact solutions for nonlinear partial differential equations, this technique is more efficient and time-consuming.…”
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Quasiperiodic Solutions of Completely Resonant Wave Equations with Quasiperiodic Forced Terms by Yixian Gao, Weipeng Zhang, Jing Chang

“…This paper is concerned with the existence of quasiperiodic solutions with two frequencies of completely resonant, quasiperiodically forced nonlinear wave equations subject to periodic spatial boundary conditions. …”
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Integral invariant manifold method applied to a mathematical model of osteosarcoma by Ophir Nave

“…These interactions are described by nonlinear ordinary differential equations. By applying the MIM method, two critical dynamic variables (Cancer cells and Necrotic cells) were identified, providing insights into the dynamics of osteosarcoma over time during treatment.…”
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Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations by Xiangling Li, Azmat Ullah Khan Niazi, Farva Hafeez, Reny George, Azhar Hussain

“…The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. …”
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Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations by Xiaoyan Lin, X. H. Tang

“…We deal with the existence of Nehari-type ground state positive solutions for the nonlinear Schrödinger equation -Δu+Vxu=fx, u, x ∈ RN, u ∈ H1 RN. …”
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