Results 31 to 40 of about 599,405 (289)
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
doaj +1 more source
Journal of Mathematics, 2021 In this paper, we present a numerical scheme for finding numerical solution of a class of weakly singular nonlinear fractional integro-differential equations. This method exploits the alternative Legendre polynomials.
Guodong Shi, Yanlei Gong, Mingxu Yi
doaj +1 more source
On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]
, 2007 This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
core +1 more source
Solution of a singular integral equation by a split-interval method
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J. +3 more
core +2 more sources
On operators induced by weakly 2-singular kernels [PDF]
Czechoslovak Mathematical Journal, 1995 It is shown that a kernel \(K(x,y)= L(x,y)/| x-y|^{1/2}\) for \(x\neq y\) in \([0,1]\) defines a \((q,2)\)-summing operator on \(L_\infty(0,1)\) for any \(q>2\) provided that \(\sup_x| L(x,\cdot)|\in L_{2,1}(0,1)\).
openaire +1 more source
Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Pelloni, Beatrice; id_orcid +2 more
core +1 more source
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
core +1 more source
RBFs for Integral Equations with a Weakly Singular Kernel [PDF]
American Journal of Applied Mathematics, 2015 In this paper a numerical method, based on collocation method and radial basis functions (RBF) is proposed for solving integral equations with a weakly singular kernel. Integrals appeared in the procedure of the solution are approximated by adaptive Lobatto quadrature rule.
openaire +1 more source
Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
مجلة بغداد للعلومThere is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
doaj +1 more source
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
doaj +1 more source