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INTEGRAL_EQUATION: 作品数：231被引量：222H指数：6; 导出分析报告; 相关作者：刘岩李功胜余海涛苏京勋刘继军更多>>; 相关机构：福州大学东南大学北京理工大学黄河水利职业技术学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

A REMARK ON LARGE TIME ASYMTOTICS FOR SOLUTIONS OF A NONHOMOGENEOUS VISCOUS BURGERS EQUATION: 《Acta Mathematica Scientia》2023年第3期1323-1332,共10页Manas Ranjan SAHOO Satyanarayana ENGU Smriti TIWARI; S.Engu was supported by Council of Scientific and Industrial Research,India (File no. 25 (0302)/19/EMR-Ⅱ)。; The existence, uniqueness and regularity of solutions to the Cauchy problem posed for a nonhomogeneous viscous Burger's equation were shown in Chung, Kim and Slemrod [1] by assuming suitable conditions on initial data...; 关键词：modified Bessel functions integral equation large time asymptotics convolution of functions

THE INITIAL BOUNDARY VALUE PROBLEMS FOR A NONLINEAR INTEGRABLE EQUATION WITH 3×3 LAX PAIR ON THE FINITE INTERVAL: 《Acta Mathematica Scientia》2021年第5期1733-1748,共16页Yu XIAO Jian XU Engui FAN; supported by the National Natural Science Foundation of China(11901167,11971313 and 51879045);Key scientific research projects of higher education institutions in Henan,China(18B110008).; In this paper,we apply Fokas unified method to study the initial boundary value(IBV)problems for nonlinear integrable equation with 3×3 Lax pair on the finite interval[0,L].The solution can be expressed by the soluti...; 关键词：integral equation initial boundary value problems Fokas unified method Riemann-Hilbert problem

ON THE (p,q)-MELLIN TRANSFORM AND ITS APPLICATIONS被引量：1: 《Acta Mathematica Scientia》2021年第5期1719-1732,共14页Pankaj JAIN Chandrani BASU Vivek PANWAR; In this paper,we introduce and study a(p,q)-Mellin transform and its corresponding convolution and inversion.In terms of applications of the(p,q)-Mellin transform,we solve some integral equations.Moreover,a(p,q)-analo...; 关键词：q-Mellin transform (p q)-Mellin transform inversion formula CONVOLUTION integral equation

ITÔDIFFERENTIAL REPRESENTATION OF SINGULAR STOCHASTIC VOLTERRA INTEGRAL EQUATIONS: 《Acta Mathematica Scientia》2020年第6期1989-2000,共12页Nguyen Tien DUNG; Vietnam National Foundation for Science and Technology Development(NAFOSTED)under grant number 101.03-2019.08.; In this paper we obtain an Itôdifferential representation for a class of singular stochastic Volterra integral equations.As an application,we investigate the rate of convergence in the small time central limit theorem...; 关键词：stochastic integral equation Itôformula central limit theorem

A NECESSARY CONDITION FOR CERTAIN INTEGRAL EQUATIONS WITH NEGATIVE EXPONENTS: 《Acta Mathematica Scientia》2019年第1期284-296,共13页Jiankai XU Zhong TAN Weiwei WANG Zepeng XIONG; Supported by National Natural Science Foundation of China(11126148,11501116,11671086,11871208);Natural Science Foundation of Hunan Province of China(2018JJ2159);the Project Supported by Scientific Research Fund of Hunan Provincial Education Department(16C0763);the Education Department of Fujian Province(JA15063); This paper is devoted to studying the existence of positive solutions for the following integral system {u(x)=∫_(R^n)|x-y|~λv-~q(y)dy, ∫_(R^n)|x-y|~λv-~p(y)dy,p,q>0,λ∈(0,∞),n≥1.It is shown that if(u,v) is a pa...; 关键词：integral equations Lane-Emden system CONFORMAL INVARIANCE positive solutions existence

CLASSIFICATION OF POSITIVE SOLUTIONS TO ASYSTEM OF HARDY-SOBOLEV TYPE EQUATIONS被引量：1: 《Acta Mathematica Scientia》2017年第5期1415-1436,共22页戴蔚刘招; supported by the NNSF of China(11371056);partly supported by the NNSF of China(11501021);the China Postdoctoral Science Foundation(2013M540057);partly supported by Scientific Research Fund of Jiangxi Provincial Education Department(GJJ160797); In this paper, we are concerned with the following Hardy-Sobolev type system{(-?)^(α/2) u(x) =v^q(x)/|y|^(t_2) (-?)α/2 v(x) =u^p(x)/|y|^(t_1),x =(y, z) ∈(R ~k\{0}) × R^(n-k),(0.1)where 0 < α < n, 0 < t_1, t_2 < m...; 关键词：Hardy-Sobolev type systems systems of fractional Laplacian systems of integral equations method of moving planes in integral forms radial symmetry NONEXISTENCE

SOLVABILITY OF AN IMPLICIT FRACTIONAL INTEGRAL EQUATION VIA A MEASURE OF NONCOMPACTNESS ARGUMENT: 《Acta Mathematica Scientia》2017年第1期195-204,共10页Juan J.NIETO Bessem SAMET; support by the Ministerio de Economica y Competitividad of Spain under grant MTM2013-43014-P;XUNTA under grants R2014/002 and GRC2015/004;co-financed by the European Community fund FEDER;extends his appreciation to Distinguished Scientist Fellowship Program(DSFP)at King Saud University(Saudi Arabia); In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and t...; 关键词：umplicit fractional integral equation measure of noncompactness Darbo＇stheorem

A STUDY ON SOME PROBLEMS ON EXISTENCE OF SOLUTIONS FOR NONLINEAR FUNCTIONAL-INTEGRAL EQUATIONS被引量：1: 《Acta Mathematica Scientia》2013年第5期1305-1313,共9页DEEPMALA H.K.PATHAK; supported by the Department of Science and Technology;Government of India under INSPIRE Fellowship Program No.DST/INSPIRE Fellowship/2010/[182]; In this paper, we prove the existence of solutions of some nonlinear functional- integral equation by using a fixed point theorem which satisfy the Darbo condition. The results extend the corresponding results of many...; 关键词：Banach algebra fixed point functional-integral equation measure of non- compactness

CLASSIFICATION OF SOLUTIONS FOR A CLASS OF SINGULAR INTEGRAL SYSTEM被引量：2: 《Acta Mathematica Scientia》2011年第4期1449-1456,共8页许建开谭忠; Supported by National Natural Science Foundation of China-NSAF (10976026); In this paper, we consider the following integral system： u（x） = R n v q （y）｜ x y ｜ nα dy, v（x） = R n u p （y）｜ x y ｜ nμ dy, （0.1） where 0 〈 α, μ 〈 n; p, q ≥ 1. Using the method of moving planes...; 关键词：Hardy-Littlewood-Sobolev inquality integral equation moving plane interpolation inequality radial symmetry

THE RISK MODEL OF THE EXPECTED DISCOUNTED PENALTY FUNCTION WITH CONSTANT INTEREST FORCE被引量：4: 《Acta Mathematica Scientia》2006年第3期509-518,共10页刘莉茆诗松; In this article, the expected discounted penalty function Фδ,α （u） with constant interest δ and ＂discounted factor＂ exp（-αTδ） is considered. As a result, the integral equation of Фδ,α （u） is derived a...; 关键词：RUIN penalty function integral equation surplus prior to ruin deficit at ruin

INTEGRAL_EQUATION