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  1. 1961

    Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities by Tsing-San Hsu, Huei-Li Lin

    Published 2012-01-01
    “…By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.…”
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    Article
  2. 1962

    Ultra-broadband all-optical nonlinear activation function enabled by MoTe2/optical waveguide integrated devices by Chenduan Chen, Zhan Yang, Tao Wang, Yalun Wang, Kai Gao, Jiajia Wu, Jun Wang, Jianrong Qiu, Dezhi Tan

    Published 2024-10-01
    “…Abstract All-optical nonlinear activation functions (NAFs) are crucial for enabling rapid optical neural networks (ONNs). …”
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    Article
  3. 1963

    Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q by Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas

    Published 2013-01-01
    “…We study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. Our problems contain different numbers of q in derivatives and integrals. …”
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    Article
  4. 1964
  5. 1965
  6. 1966

    LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities by Anurita Dey, Haranath Kar

    Published 2011-01-01
    “…This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. …”
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    Article
  7. 1967

    A New Nonlinear Controller Design for a TCP/AQM Network Based on Modified Active Disturbance Rejection Control by Anwer S. Aljuboury, Subhi R. M. Zeebaree, Firas Abedi, Zahraa Sabah Hashim, Rami Q. Malik, Ibraheem Kasim Ibraheem, Ahmed Alkhayyat

    Published 2022-01-01
    “…The main aim of this study was to address the problem of congestion in TCP nonlinear systems in the presence of mismatched exogenous disturbances. …”
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    Article
  8. 1968

    A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem by M. A. El-Ameen, M. El-Kady

    Published 2012-01-01
    “…A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. …”
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    Article
  9. 1969

    Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales by Chengjun Yuan, Yongming Liu

    Published 2010-01-01
    “…In this paper, we study a general second-order m-point boundary value problem for nonlinear singular dynamic equation on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+λq(t)f(t,u(t))=0, t∈(0,1)𝕋, u(ρ(0))=0, u(σ(1))=∑i=1m-2αiu(ηi). …”
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  10. 1970

    Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations by Haifeng Qiu, Liguo Weng, Bin Yu, Yanghui Zhang

    Published 2020-01-01
    “…The paper mainly focuses on the synchronization of multiple-weight Markovian switching complex networks under nonlinear coupling mode. Based on the finite-time stability theory, Itô’s lemma, and some inequality technologies, the synchronization criterion of network models in the nonlinear coupling mode is obtained; at the same time, unknown parameters of networks are also identified by an effective controller. …”
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    Article
  11. 1971
  12. 1972

    Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model by Fengxin Chen

    Published 2014-01-01
    “…We consider a fully discrete H1-Galerkin mixed finite element approximation of one nonlinear integrodifferential model which often arises in mathematical modeling of the process of a magnetic field penetrating into a substance. …”
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    Article
  13. 1973

    Stability and Convergence of an Effective Numerical Method for the Time-Space Fractional Fokker-Planck Equation with a Nonlinear Source Term by Qianqian Yang, Fawang Liu, Ian Turner

    Published 2010-01-01
    “…In this paper, we consider a class of time-space fractional Fokker-Planck equations with a nonlinear source term (TSFFPENST), which involve the Caputo time fractional derivative (CTFD) of order 𝛼∈ (0, 1) and the symmetric Riesz space fractional derivative (RSFD) of order 𝜇∈ (1, 2]. …”
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    Article
  14. 1974

    Generalized Darbo-Type F-Contraction and F-Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation by Mian Bahadur Zada, Muhammad Sarwar, Thabet Abdeljawad, Fahd Jarad

    Published 2020-01-01
    “…Employing our results, we check the existence of a solution to the nonlinear fractional-order differential equation under the integral type boundary conditions. …”
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  15. 1975
  16. 1976

    Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity by Salah Mahmoud Boulaaras, Abdelbaki Choucha, Abderrahmane Zara, Mohamed Abdalla, Bahri-Belkacem Cheri

    Published 2021-01-01
    “…The present research paper is related to the analytical studies of p-Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the global existence and decay estimates of solutions.…”
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    Article
  17. 1977
  18. 1978

    Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights by Rafik Guefaifia, Salah Mahmoud Boulaaras, Sultan Alodhaibi, Salem Alkhalaf

    Published 2020-01-01
    “…In this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of p,q Laplacian nonlinear elliptic system in bounded domains, when ax, bx,αx, and βx are sign-changing functions that maybe negative near the boundary, without assuming sign conditions on f0,g0,h0, and γ0.…”
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  19. 1979

    Nonlinear Methodologies for Identifying Seismic Event and Nuclear Explosion Using Random Forest, Support Vector Machine, and Naive Bayes Classification by Longjun Dong, Xibing Li, Gongnan Xie

    Published 2014-01-01
    “…The discrimination of seismic event and nuclear explosion is a complex and nonlinear system. The nonlinear methodologies including Random Forests (RF), Support Vector Machines (SVM), and Naïve Bayes Classifier (NBC) were applied to discriminant seismic events. …”
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  20. 1980

    New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations by Sirada Pinjai, Kanit Mukdasai

    Published 2013-01-01
    “…This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). …”
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    Article