Results 41 to 50 of about 3,371,611 (178)

Cauchy singular integral equation method for transient antiplane dynamic problems

, 1996
In this paper, by use of the boundary integral equation method and the techniques of Green basic solution and singularity analysis, the dynamic problem of antiplane is investigated. The problem is reduced to solving a Cauchy singular integral equation in
陈卫江, Chen, WJ (reprint author), CHINESE ACAD SCI,INST MECH,DIV SOLID MECH,BEIJING 100080,PEOPLES R CHINA., Tang RJ   +2 more
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Elliptic perturbations for Hammerstein equations with singular nonlinear term

Electronic Journal of Differential Equations, 2006
We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite, Mario Michele Coclite   +1 more
doaj  

Quasilinearization-Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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Positive solutions for second-order differential equations with singularities and separated integral boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2020
We study the existence of positive solutions for second-order differential equations with separated integral boundary conditions. The nonlinear part of the equation involves the derivative and may be singular for the second and third space variables. The
Yanlei Zhang, Kenzu Abdella, Wenying Feng   +2 more
doaj   +1 more source

Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]

, 2000
This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare, Tania Clare Dunning, Dunning, T.C.   +2 more
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Lagrangian flows for vector fields with gradient given by a singular integral [PDF]

, 2013
We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
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Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +1 more source

Initial value problem for the time-dependent linear Schrödinger equation with a point singular potential by the unified transform method [PDF]

Opuscula Mathematica, 2018
We study an initial value problem for the one-dimensional non-stationary linear Schrödinger equation with a point singular potential. In our approach, the problem is considered as a system of coupled initial-boundary value (IBV) problems on two half ...
Yan Rybalko
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Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]

, 2006
Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
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A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations

Journal of Applied Mathematics, 2014
A wavelet iterative method based on a numerical integration by using the Coiflets orthogonal wavelets for a nonlinear fractional differential equation is proposed.
Xiaomin Wang
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