Results 31 to 40 of about 2,673,333 (280)
Advances in Difference Equations, 2019 This paper investigates some new retarded weakly singular integral inequalities with discontinuous functions for two independent variables. The inequalities given here can be used in the qualitative analysis of various problems for integral equations and
Yaoyao Luo, Run Xu
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Singularly perturbed Volterra integral equations with weakly singular kernels
International Journal of Mathematics and Mathematical Sciences, 2002 We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay ...
Angelina Bijura
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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique [PDF]
Computational Algorithms and Numerical DimensionsThis study presents a method to solve weakly singular Volterra integral equations using an approximation approach. The method relies on Chelyshkov wavelet polynomials. The characteristics of the Chelyshkov wavelet are presented.
Youssef Esmaiel +2 more
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Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind [PDF]
, 2019 The singularity subtraction technique for computing an approximate solution of a linear weakly singular Fredholm integral equation of the second kind is generalized to the case of a nonlinear integral equation of the same kind. Convergence of the sequence of approximate solutions to the exact one is proved under mild standard hypotheses on the ...
Ahues, Mario +3 more
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Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations
CoRR, 2022 25 pages, 4 figures, 4 ...
Mario Ahues +3 more
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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On multi-singular integral equations involving n weakly singular kernels
Filomat, 2018 We deal with some sources of Banach spaces which are closely related to an important issue in applied mathematics i.e. the problem of existence and uniqueness of the solution for the very applicable weakly singular integral equations. In the classical mode, the uniform space (C[a,b], ||.||?) is usually applied to the related discussion ...
Sales, S. M. S. Nabavi, Baghani, O.
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Singularity Preserving Galerkin Methods for Weakly Singular Fredholm Integral Equations
Journal of Integral Equations and Applications, 1994 A singularity preserving projection approximation for the solution of the equation \(y(s) - \int^ 1_ 0 k(s,t) y(t)dt = f(x)\), \(0 \leq s \leq 1\), having an optimal order of convergence, is presented and a numerical example is given to illustrate the numerical accuracy of the current method in comparison with the conventional Galerkin method.
Cao, Yanzhao, Xu, Yuesheng
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The properties of solutions of weakly singular integral equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981 AbstractWe examine the differential properties of the solution of the linear integral equation of the second kind, whose kernel depends on the difference of arguments and has an integrable singularity at the point zero. The derivatives of the solution of the equation have singularities at the end points of the domain of integration, and we derive ...
Vainikko, G., Pedas, A.
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Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source