INTEGRAL_EQUATION

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On a Conformally Invariant Integral Equation Involving Poisson Kernel
《Acta Mathematica Sinica,English Series》2018年第4期681-690,共10页Jin Gang XIONG 
Supported in part by NSFC(Grant Nos.11501034 and 11571019);a key project of NSFC(Grant No.11631002)
We study a prescribing involving Poisson kernel on the unit of PDE. As in Nirenberg problem, solutions. We prove existence in the functions problem of a conformally invariant integral equation ball. This integral equa...
关键词：Poisson kernel conformal invariance blow up analysis 
Nonlinear Branching Processes with Immigration被引量：1
《Acta Mathematica Sinica,English Series》2017年第8期1021-1038,共18页Pei-Sen LI 
Supported by NSFC(Grant Nos.1131003,11626245 and 11571043)
The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson random measures. Some criteria for the regularity, recurrence, ergodi...
关键词：Nonlinear branching process IMMIGRATION stochastic integral equation REGULARITY RECURRENCE ERGODICITY strong ergodicity 
Stochastic Equations for Two-type Continuous-state Branching Processes with Immigration被引量：2
《Acta Mathematica Sinica,English Series》2013年第2期287-294,共8页Ru Gang MA 
A two-dimensional stochastic integral equation system with jumps is studied. We first prove its unique weak solution is a two-type continuous-state branching process with immigration. Then the comparison property of t...
关键词：Continuous-state branching process IMMIGRATION stochastic integral equation comparison property strong solution 
Existence of Nondecreasing and Continuous Solutions of an Integral Equation with Linear Modification of the Argument
《Acta Mathematica Sinica,English Series》2007年第9期1719-1728,共10页J.CABALLERO B.LóPEZ K.SADARANGANI 
the"Consejería de Educación,Cultura y Deporte del Gobierno de Canarias"P.I.2003/068;"Ministerio de Educación y Ciencia"MTM2004/05878
We use a technique associated with measures of noncompactness to prove the existence of nondecreasing solutions to an integral equation with linear modification of the argument in the space C[0, 1]. In the last thirty...
关键词：measure of noncompactness fixed point theorem nondecreasing solutions 
Positive and Nontrivial Solutions for the Urysohn Integral Equation
《Acta Mathematica Sinica,English Series》2006年第6期1745-1750,共6页Daniel FRANCO Gennaro INFANTE Donal O'REGAN 
The first and third authors have been supported in part by Ministerio de Cienciay Tecnología(Spain)MTM2004-06652-C03-03
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 sufficient conditions for ...
关键词：Urysohn integral equation positive solutions EIGENVALUES 
The ε-Complexity of the Approximate Solution of Integral Equations with Isotropic Kernels被引量：1
《Acta Mathematica Sinica,English Series》2002年第4期679-686,共8页Wan MA Gen Sun FANG College of Mathematics & Information Science of Wenzhou University, Wenzhou 325027, P. R. China Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China 
The exact order of s-complexity is determined in L_p (2≤p≤∞) spaces for the second kind of Fredholm integral equations with kernels belonging to an isotropic Sobolev class.
关键词：Fredholm equation ε-complexity Sobolev classes 
Optimization of Approximate Solution of Integral Equations of Several Variables被引量：4
《Acta Mathematica Sinica,English Series》2002年第3期455-462,共8页Wan MA Xing Hua WANG Department of Mathematics, Zhejiang University. Hangzhou 310028, P. R. China 
This work is supported by the Special Funds for Major State Basic Research Projects (Grant No. G19990328);the Zhejiang Provincial Natural Science Foundation (Grant No. 100002).
In this paper, we consider the problem of optimization of adaptive direct methods of operator equations. Adaptivity of a direct method is understood in the sense that the subspace on the basis of which it is construct...
关键词：Integral equations Direct methods Anisotropic Sobolev classes 
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