搜索结果: 1-14 共查到“积分方程 q-integral”相关记录14条 . 查询时间(0.153 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic Structures from Integral Equations
积分方程 代数结构 代数分析
2023/11/29
Even though the research style of algebra and analysis are quite different, many algebraic structures naturally arose from analysis, differential equations and integral equations, inspiring further ap...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Integral equations with bubble-type kernel via the method of moving spheres
运动球体 气泡型核 积分方程
2023/4/27
In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphe...
Fast Algorithms for Boundary Integral Equations
Boundary integral equations Laplace equation Helmholtz equation fast algorithms fast multipole method hierarchical matrices wavelets multiscale methods multidirectional methods
2015/7/15
This article reviews several fast algorithms for boundary integral equations. After a brief introduction of the boundary integral equations for the Laplace and Helmholtz equations, we discuss in order...
The Evaluation of a Quartic Integral via Schwinger, Schur and Bessel
integrals hypergeomteric functions Bessel functions Schur functions
2010/12/6
We provide additional methods for the evaluation of the integral N0,4(a;m) := Z 1 0 dx (x4 + 2ax2 + 1)m+1 where m 2 N and a 2 (−1,1) in the form N0,4(a;m) = 2m+3/2(a + 1)m+1/2 Pm(a)
where Pm(a...
On integral equations related to weighted Toepitz operators
Toeplitz operators Lipschitz spaces holomorphic Besov spaces Hardy spaces
2010/12/7
For weighted Toeplitz operators T N ' defined on spaces of holomorphic functions in the unit ball, we derive regularity prop-erties of the solutions f to the integral equation T N ' (f) = h in terms o...
Double Series Involving Binomial Coefficients and the Sine Integral
Double Series Involving Binomial Coefficients Sine Integral
2010/11/26
By dividing hypergeometric series representations of the inverse sine by sin-1(x) and ntegrating, new double series representations of integers and constants arise. Binomial coefficients and the sine ...
In this paper, we provide a q-analogue of an open problem posed by Q. A. Ng?et al. in the paper, Note on an integral inequality, J. Inequal. Pure and Appl. Math., 7(4)(2006), Art. 120, by using analyt...
On a Certain Volterra-Fredholm Type Integral Equation
Volterra-Fredholm type integral equation Banach fixed point theorem integral inequality Bielecki type norm existence and uniqueness continuous dependence
2010/1/22
The aim of this paper is to study the existence, uniqueness and other properties of solutions of a certain Volterra-Fredholm type integral equation. The main tools employed in the analysis are based o...
Note on an Integral Inequality Applicable in PDEs
Integral inequality Nonlinear system of PDEs
2010/1/22
The article presents and refines the results which were proven in [1]. We give a condition for obtaining the optimal constant of the integral inequality for the numerical analysis of a nonlinear syste...
In this paper, we provide some Feng Qi type q-Integral Inequalities, by using analytic and elementary methods in Quantum Calculus.
Positive and Nontrivial Solutions for the Urysohn Integral Equation
Urysohn integral equation positive solutions eigenvalues
2007/12/12
We establish new criteria for the existence of either positive or nonzero solutions of the Urysohn integral equation. We also discuss the existence of an interval of positive eigenvalues and sufficien...
We consider solving integral equations of the second kind
defined on the half-line $[0,\infty)$ by the preconditioned
conjugate gradient method. Convergence is known to be
slow due to the non-compa...
Mixed Type of Integral Equation with Potential Kernel
Fredholm integral equations Potential kernel Legendre and Jacobi polynomials Weber-Sonien integral
2010/2/25
This paper presents the solution of an integral equation of a mixed type in three-dimensions in the space L2 (W) \times C[0,T], where T < \infty, and W is the domain of integration with respect to pos...
On The Solution of the E.P.D. Equation Using Finite Integral Transformations
Hyperbolic equations initial boundary value problems
2010/3/5
In this paper, a solution is given for the following initial boundary value problem: D=utt+k/t+ut+g(x, t) (t>0) u(0, t)=u(a, t)=0 u(x, 0)=f(x), ut(x, 0)=0 where x, a e Rn, t is the time variable, k < ...