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Banach空间中超线性Hammerstein型积分方程的解及其应用 总被引:2,自引:0,他引:2
本文利用不动点指数理论研究Banach空间中超线性Hammerstein型积分方程正解及非零解的存在性,并应用于Banach空间中超线性常微分方程的Sturm-Liouville问题,最后,本文给出了一个非线性常微分方程无穷组存在正解的例子. 相似文献
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抽象半线性发展方程的正解及应用 总被引:12,自引:1,他引:12
本文讨论了有序Banach空间中的正算子半群的特征,把通常常微分方程及偏微分方程的上、下解方法引入到有序Banach空间中的半线性发展方程,获得了整体解与正解的存在性. 相似文献
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Banach空间泛函微分方程的正解 总被引:1,自引:0,他引:1
林壮鹏 《高校应用数学学报(A辑)》1999,14(3):261-266
本文利用锥理论研究Banach空间泛函微分方程正解的存在性,在紧型条件下获得一个新结果。 相似文献
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Banach空间非线性脉冲Volterra型积分方程整体解的存在性定理及应用 总被引:7,自引:0,他引:7
利用一个新的比较结果和Monech不动点定理证明了Banach空间中非线性脉冲Volterra型积分方程整体解的存在性定理,并给出了对Banach空间中一阶脉冲微分方程初值问题的应用,改进了文(1-3)中的主要结果。 相似文献
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在Banach空间中,利用锥理论和单调迭代方法研究了一类非线性算子方程的解和最小最大耦合解的存在与迭代逼近定理,并应用到Banach空间中非线性Volterra型积分方程和常微分方程的初值问题. 相似文献
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在不涉及紧型条件和耗散型条件的情形下,证明了Banach空间中含间断项的非线性积分、微分方程极解的存在性,推广了文[1]、[2]和[3]中的结果. 相似文献
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借助于锥理论,本文讨论Banach空间中非线性脉冲积分微分方程的解,给出一阶脉冲微分方程存在唯一正解的条件及混合型脉冲积分微分方程至少具有两解的条件。 相似文献
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路慧芹 《数学物理学报(A辑)》2002,22(3):386-390
该文利用锥理论和Banach 压缩映象原理讨论了一类含参数的非线性算子方程,证明了这类方程解的存在唯一性及其解对参数的连续相依性定理,并给出了对Banach 空间中含参数的一阶积-微分方程初值问题的应用. 相似文献
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林壮鹏 《高校应用数学学报(A辑)》1996,(1):15-20
本文研究Banach空间中常微分方程的周期解的存在性,在耗散型条件下得到一系列结果。同时,还给出一无穷维微分方程存在周期解的例子。 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献