Results 31 to 40 of about 2,617 (263)
Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations
CoRR, 2022 25 pages, 4 figures, 4 ...
Mario Ahues +3 more
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A Singular Nonlinear Volterra Integral Equation
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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Journal of Inequalities and Applications, 2019 Some new nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type are given. The estimations of unknown functions are obtained by analysis techniques.
Ran Yan, Fanwei Meng
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Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
Journal of Inequalities and Applications, 2018 Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and ...
Zhaowen Zheng, Yingjie Zhang, Jing Shao
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Ain Shams Engineering JournalAnalytic solutions of nonlinear Volterra-Fredholm integral equations with generalized singular kernel arise in atomic scattering, electron emission, microscopy, radio astronomy, radar ranging, plasma diagnostics, and optical fiber evaluation and found a ...
Muhammad Usman +5 more
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Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels
Journal of Applied Mathematics, 2005 We study the numerical solvability of a class of nonlinear weakly singular integral equations of Volterra-Hammerstein type with noncompact kernels. We obtain existence and uniqueness results and analyze the product integration methods for these equations
M. Hadizadeh, M. Mohamadsohi
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The purpose of the study is to construct a nonlinear electromagnetic field inside the waveguide. We assume that the body is located in a semi-infinite rectangular waveguide and that an electromagnetic field propagates inside the body ...
Andrey O. Lapich, Mikhail Yu. Medvedik
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Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley +1 more source
International Journal of Differential Equations, 2018 An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan +2 more
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Advanced Engineering Materials, EarlyView.This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca +9 more
wiley +1 more source