共查询到20条相似文献,搜索用时 15 毫秒
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Moscow University Computational Mathematics and Cybernetics - A case is considered in which when the solution to the boundary value problem for a third-order singularly perturbed ordinary... 相似文献
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Upper and Lower Functions in Boundary Value Problems for a Third-Order Ordinary Differential Equation 总被引:1,自引:0,他引:1
Yu. A. Klokov 《Differential Equations》2000,36(12):1762-1769
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We study the general linear third-order differential equation with constant real coefficients in the case of two independent variables. Necessary and sufficient coefficient conditions for the hyperbolicity and strict hyperbolicity of the equation, as well as for the representability of the differential operator occurring in the equation in the form of a composition of first-order operators, are obtained. 相似文献
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用单调迭代法研究一类三阶微分方程边值问题解的存在性,不仅证明了该问题解的存在性,而且得到了其迭代格式. 相似文献
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基于再生核空间法提出了一个高效的数值算法来解决三阶微分方程的边值问题.利用再生性以及正交基的构造,得到了模型精确解的级数表示形式,并通过截断级数获得了其近似解.通过数值算例说明了此方法的有效性. 相似文献
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M. Denche 《Results in Mathematics》1999,35(3-4):216-227
In the present paper, we first establish a coerciveness estimate with respect to both the space variable and the spectral parameter of a boundary-value problem for an operator differential equation with nonlocal boundary conditions containing the spectral parameter. Then, using the coerciveness estimate, we prove that the operator generated by this problem is a Fredholm, and, moreover is an isomorphism between appropriate spaces. Finally, the results obtained are applied to a class of non local problems for a quasi-elliptic partial differential equation. 相似文献
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本文首先讨论了一个非局部边界条件下的抛物型偏微分方程组,通过一个变量替换,使得在更宽松的边界假设条件下证明了解的存在唯一性;然后讨论了一个完全非线性的抛物型方程组,同样,通过变量替换证明了比较原理. 相似文献
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Ukrainian Mathematical Journal - We prove the unique solvability of the third boundary-value problem for a third-order differential equation with multiple characteristics containing the second time... 相似文献
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Mathematical Notes - We consider the initial-boundary value problem for a third-order partial differential equation with highest mixed derivative. An abstract Cauchy problem for a first-order... 相似文献
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In this paper, we describe how to analyze boundary value problems for third-order nonlinear ordinary differential equations over an infinite interval. Several physical problems of interest are governed by such systems. The seminumerical schemes described here offer some advantages over solutions obtained by using traditional methods such as finite differences, shooting method, etc. These techniques also reveal the analytic structure of the solution function. For illustrative purposes, several physical problems, mainly drawn from fluid mechanics, are considered; they clearly demonstrate the efficiency of the techniques presented here. 相似文献
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郝兆才 《数学物理学报(A辑)》2001,21(2):225-229
该文研究了一类半线性三阶差分方程边值问题Δ3u(t)+a(t)f(u(t))=0,2≤T≤T+2,u(0)=u(1)=u(T+3)=0的非负解,得到了该方程在锥与环形域相交部分非负解的存在性,包含、改近和推广了文[3,4,5,6]的主要结果. 相似文献
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