Results 61 to 70 of about 3,371,611 (178)

Some Recent Developments in the Theory of Nonlinear Singular Integral Equations

Zeitschrift für Analysis und ihre Anwendungen, 1987
We report on some recent investigations by Soviet mathematicians and the author about nonlinear singular integral and integro-differential equations of Cauchy and Hilbert type involving large nonlinearities.
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An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics
In this work, a nonlinear fractional integrodifferential equation (NFIo-DE) with discontinuous generalized kernel in position and time is explored in space L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
doaj   +1 more source

A generalized sequential problem of Lane-Emden type via fractional calculus

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we combine the Riemann-Liouville integral operator and Caputo derivative to investigate a nonlinear time-singular differential equation of Lane Emden type.
Gouari Yazid, Dahmani Zoubir, Ndiaye Ameth   +2 more
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Soliton unveilings in optical fiber transmission: Examining soliton structures through the Sasa–Satsuma equation

Results in Physics
The exploration of higher-order and multicomponent extensions of the nonlinear Schrödinger equation holds significant importance across diverse applications, notably within the field of optics.
Ifrah Iqbal, Hamood Ur Rehman, Hameed Ashraf, Ahsan Walait, Nasser Bin Turki, Babar Hussain Shah, Nehad Ali Shah   +6 more
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The Newton-Kantorovich Approximations for Nonlinear Singular Integral Equations with Shift

Journal of Integral Equations and Applications, 2002
Nonlinear singular integral equations with Carleman shift are considered in generalized Hölder spaces. The author proves convergence of the Newton-Kantorovich approximation for a class of singular integral equations for which the Fréchet derivative of the underlying nonlinear operator is locally Lipschitz continuous. Moreover, conditions sufficient for
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A collocation method for nonlinear Cauchy singular integral equations

Journal of Computational and Applied Mathematics, 2000
This paper deals with nonlinear Cauchy singular integral equations of the second kind. The singularity is a finite part. The application of a collocation method with respect to the Chebyshev nodes of the second kind with a Newton iteration is discussed.
Junghanns, Peter, Müller, Katja
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Nonlinear cross Gramians and gradient systems [PDF]

, 2007
We study the notion of cross Gramians for non-linear gradient systems, using the characterization in terms of prolongation and gradient extension associated to the system.
Jacquelien M. A. Scherpen, Ionescu, T. C.,, Scherpen, J. M. A., Ionescu, T. C., Tudor C. Ionescu, Scherpen, J. M. A.,   +5 more
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Convergence analysis of deep ReLU networks for solving integral equations

Machine Learning: Science and Technology
This paper proposes a deep rectified linear unit (ReLU) neural network framework for approximating solutions to linear and nonlinear integral equations, encompassing the Urysohn equation, Hammerstein equation, and weakly singular second-kind Fredholm ...
Min Zhou, Xin Tan
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On the study of double dispersive equation in the Murnaghan’s rod: Dynamics of diversity wave structures

Partial Differential Equations in Applied Mathematics
This article secures the various wave structures of the fractional double dispersive equation, a significant nonlinear equation that describes the propagation of nonlinear waves within the elastic, uniform, and inhomogeneous Murnaghan’s rod.
Jan Muhammad, Usman Younas, Aziz Khan, Thabet Abdeljawad, D.K. Almutairi   +4 more
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Existence of positive solutions for boundary value problems of fractional differential equations with sign-changing nonlinear term

Journal of Hebei University of Science and Technology, 2019
In order to further study the properties of boundary value problems for fractional differential equations with non-linear terms,we discusses the existence of positive solutions for eigenvalue problems of (n-1,1) fractional differential equations with ...
Weihua JIANG, Qingqing HAN, Junxia YANG
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