共查询到20条相似文献,搜索用时 8 毫秒
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矩阵微分方程经常出现在许多物理模型和工程技术模型中.利用矩阵样条构造形如{y(p)(x)=Ap-1(x)y(p-1)(x)+Ap-2(x)y(p-2)(x)+…+A1(x)y(1)(x)+A0(x)y(x)+B0(x),y(a)=ya,…,y(p-1)(a)=y(p-1)a,x∈[a,b];Ai(x),B0(x)∈C4[a,b],0≤i≤p-烅烄烆1的高阶矩阵线性微分方程初值问题的数值解.给出实现算法和数值解的近似误差估计以及数值实例.先将高阶矩阵微分方程转化为一阶矩阵微分方程,然后利用三次矩阵样条求出一阶矩阵线性微分方程的数值解,从而解决高阶微分方程问题. 相似文献
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Sufficient conditions are given for absence of global solutions to semilinear evolution differential equations and inequalities of higher order (in the time variable). These results generalize the well-known assertions for parabolic and hyperbolic equations. The proofs base on the test function method by Veron, Mitidieri, Pokhozhaev, and Tesei. 相似文献
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高凌云 《数学物理学报(A辑)》2008,28(5)
该文利用多复变函数值分布理论和技巧,研究了Cm中高阶偏微分方程的代数体函数解的存在性问题,建立了Cm中高阶偏微分方程的Malmquist型定理. 相似文献
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§ 1.IntroductionandMainResults InthispaperweusethestandardnotationsoftheNevanlinnatheoryofmeromorphicfunctionsoralgebroidfunctions.Forreferenceseee.g.[1 ] . Considerthegeneralizedhigher orderalgebraicdifferentialequationΩ1(z,w)Ω2 (z,w) =P(z,w)Q(z,w) , ( 1 )whereΩ1(z,w) =∑… 相似文献
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利用多复变值分布理论,我们将Steinmetz的代数微分方程的Malmqiust型定理推广到复偏微分方程中. 相似文献
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Mediterranean Journal of Mathematics - In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present... 相似文献
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利用亚纯函数的Nevanlinna值分布理论,研究了一类高阶微分方程具有亚纯允许解时,它所具有的形式,得到了一个Malmquist型定理。 相似文献
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高凌云 《数学物理学报(A辑)》2008,28(5):856-862
该文利用多复变函数值分布理论和技巧, 研究了Cm中高阶偏微分方程的代数体函数解的存在性问题, 建立了Cm中高阶偏微分方程的Malmquist型定理. 相似文献
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利用亚纯函数的Nevanlinna值分布理论,研究了一类高阶代数微分方程组亚纯允许解的存在性问题,得到了一个主要结果. 相似文献
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本文主要考虑以下两个问题: (1) 建立非齐次线性微分方程$$f''+A_2(z)f''+A_1(z)f''+A_0(z)f=A_3(z),$$ 系数增长性与解的零点的几何分布的相互关系, 其中 $A_0(z),\ldots, A_3(z)$为单位圆内的解析函数; (2) 找到一些使方程$$f^{(k)}+A_{k-1}(z)f^{(k-1)}+\cdots+A_1(z)f''+A_0(z)f=0,$$ 所有解属于Zygmund-型空间的充分条件. 我们得到的结果推广了Heittokangas, Gr\"{o}hn, Korhoneon 和 R\"{a}tty\"{a}的部分结果. 相似文献
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Manabu Naito 《Monatshefte für Mathematik》2002,117(1):237-242
This paper is concerned with the problem of counting the number of zeros of bounded nonoscillatory solutions of higher-order linear ordinary differential equations involving a parameter. It is shown that a recent result for the second-order case is still valid for the higher-order case. 相似文献
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Manabu Naito 《Monatshefte für Mathematik》2002,136(3):237-242
This paper is concerned with the problem of counting the number of zeros of bounded nonoscillatory solutions of higher-order
linear ordinary differential equations involving a parameter. It is shown that a recent result for the second-order case is
still valid for the higher-order case.
Received September 20, 2001; in revised form February 8, 2002 Published online July 12, 2002 相似文献
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考虑一类具有分布时滞的高阶非线性中立型微分方程,利用Banach压缩映像原理得到了非振动解存在的新的充分条件. 相似文献
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We study the connection between characteristics of moduli spaces of Riemann surfaces with marked points and matrix models. The Kontsevich matrix model describes intersection indices on continuous moduli spaces, and the Kontsevich–Penner matrix model describes intersection indices on discretized moduli spaces. Analyzing the constraint algebras satisfied by various generalized Kontsevich matrix models, we derive time transformations that establish exact relations between different models appearing in mathematical physics. We solve the Hermitian one-matrix model using the moment technique in the genus expansion and construct a recursive procedure for solving this model in the double scaling limit. 相似文献