Results 41 to 50 of about 16,231 (283)
Regular Solutions to the Coagulation Equations with Singular Kernels [PDF]
, 2014 In this article we prove the existence of solutions to the coagulation equation with singular kernels. We use weighted L^1-spaces to deal with the singularities in order to obtain regular solutions. The Smoluchowski kernel is covered by our proof.
Camejo, Carlos Cueto +2 more
core +1 more source
Localized Frames and Compactness [PDF]
, 2015 We introduce the concept of weak-localization for generalized frames and use this concept to define a class of weakly localized operators. This class contains many important operators, including: Short Time Fourier Transform multipliers, Calderon ...
Batayneh, Fawwaz, Mitkovski, Mishko
core +1 more source
, 2012 In this paper we study the shape differentiability properties of a class of boundary integral operators and of potentials with weakly singular pseudo-homogeneous kernels acting between classical Sobolev spaces, with respect to smooth deformations of the ...
Costabel, Martin +1 more
core +3 more sources
Mathematical Modelling and AnalysisFor Volterra integro-differential equations (VIDEs) with weakly singular kernels, their solutions are singular at the initial time. This property brings a great challenge to traditional numerical methods. Here, we investigate the numerical approximation
ZhiPeng Liu, DongYa Tao, Chao Zhang
doaj +1 more source
Neutral functional integro-differential equations with weakly singular kernels
Journal of Mathematical Analysis and Applications, 1990 Using the framework of the semigroup theory, this paper investigates the relations between the solutions of a linear functional differential equation of neutral-type and the corresponding infinitesimal generator of the \(C_ 0\)-semigroup. The techniques of the Laplace transform and the infinitesimal generator on an appropriate product space are ...
Burns, J.A, Herdman, T.L, Turi, J
openaire +2 more sources
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
Ain Shams Engineering Journal, 2022 We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla +3 more
doaj +1 more source
Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method
Shock and Vibration, 2012 We describe a multi-component boundary element method for predicting wave energy distributions in a complex built-up system with material properties changing discontinuously at boundaries between sub-components.
H.A.M. Ben Hamdin, G. Tanner
doaj +1 more source
Mathematical Modelling and Analysis, 1998 The piecewise polynomial collocation method is discussed to solve second kind Fredholm integral equations with weakly singular kernels K (t, s) which may be discontinuous at s = d, d = const. The main result is given in Theorem 4.1.
Kristiina Hakk, Arvet Pedas
doaj +1 more source