共查询到10条相似文献,搜索用时 203 毫秒
1.
INITIALBOUNDARYVALUEPROBLEMSFORACLASSOFNONLINEARINTEGRO-PARTIALDIFFERENTIALEQUATIONSCuiShang-bin(崔尚斌)(Dept.ofMath.,LanzhouUni... 相似文献
2.
蒋星耀 《应用数学和力学(英文版)》1987,8(10):969-974
In this paper we generalize the Steiner problem on planes to general regular surfaces. The main result isTheorem 1 If A, B,C are three points on a regular surface Σ and if another point P on Σ such that the sum of the lengths of the smooth arcs AP+ BP + CP reaches the minimum, then the angles formed by every two arcs at P are all 120°. 相似文献
3.
Wehavediscussedconceptofequationwithn_turningpointsinmypaper[1],i.e.,asecondorderlinearordinarydifferentialequationd2ydx2+[λ2q1(x)+λq2(x,λ)]y=0,whereq1(x)=(x-μ1)(x-μ2)…(x-μn)f(x),f(x)≠0,andλisalargeparameter.Althroughthefirsttermoftheasymptoticexpan… 相似文献
4.
谷安海 《应用数学和力学(英文版)》1987,8(10):991-1002
This paper is neither laudatory nor derogatory but it simply contrasts with what might be called elastostatic (or static topology),
a proposition of the famous six equations. The extension strains and the shearing strains
which were derived by A.L. Cauchy, are linearly expressed in terms of nine partial derivatives of the displacement function
(u
i
,u
j
,u
h
)=u(x
i
,x
j
,x
k
) and it is impossible for the inverse proposition to sep up a system of the above six equations in expressing the nine components
of matrix (∂(u
i
,u
j
,u
h
)/∂(x
i
,x
j
,x
k
)). This is due to the fact that our geometrical representations of deformation at a given point are as yet incomplete[1]. On the other hand, in more geometrical language this theorem is not true to any triangle, except orthogonal, for “squared
length” in space[2].
The purpose of this paper is to describe some mathematic laws of algebraic elastodynamics and the relationships between the
above-mentioned important questions. 相似文献
5.
In [1], a class of multiderivative block methods (MDBM) was studied for the numerical solutions of stiff ordinary differential
equations. This paper is aimed at solving the problem proposed in [1] that what conditions should be fulfilled for MDBMs in
order to guarantee the A-stabilities. The explicit expressions of the polynomials
and
in the stability functions
are given. Furthermore, we prove
. With the aid of symbolic computations and the expressions of diagonal Pade' approximations, we obtained the biggest block
size k of the A-stable MDBM for any given l (the order of the highest derivatives used in MDBM, l≥1) 相似文献
6.
黄蔚章 《应用数学和力学(英文版)》1997,18(6):575-584
I.Intr0ducti0n'Manyresultshavebeeng0tinstudyingthesingu1arperturbation0fboundaryvalueproblemfornonlinearsystemeg#=j(t,g,y',8)(l.l)bythemethodandthetechniqueofdiagonalizationl'~'l.Thepapersarebasedonsucha.conditionthattheeigenvaluesofJacobimatrixlu'offwit… 相似文献
7.
THECOMPRESSIONLSESTIMATEOFREGRESSIONCOEFFICIENTINMULTIVARIATELINEARMODELChenShi-ji(陈世基)(Dept.ofMathematics,FUjianNormalUniver... 相似文献
8.
ConsidertheCauchyproblemforthewaveequationinRN×R+(N≥2):2u(x,t)t2-xiaij(x)xju=|u|p-1·u ((x,t)∈RN×(0,T)),u(x,0)=g(x) (x∈RN),ut(x,0)=h(x) (x∈RN),(1)whereu(x,t)isnontrivialsolutionwithfinitespeedofpropagationandissupportedonaforwardcone(x,t)·t≥0,|… 相似文献
9.
Robin A. Wooding (1926–2007) made many outstanding and original contributions to the field of convection in porous media throughout
his research career. He was an applied mathematician who also worked on a wide variety of other important hydrological, meteorological,
earth science and physical science problems. Important contributions included (i) the discovery of the occurrence of fingers
in the context of mono-diffusive convection in a porous medium and an early body of associated papers on convection in porous
media, (ii) the development of a novel hydraulic model for the catchment-stream problem and (iii) the mathematical solution
to the problem of steady infiltration from a shallow circular pond that formed the basis for the disc permeameter method.
This note documents biographical matters and assesses the importance of his scientific work.
Robin A. Wooding 6 March 1926–19 November 2007 (Photograph circa 1975)
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10.
云天铨 《应用数学和力学(英文版)》2000,21(8):861-868
By basic equations, two basic theories are presented: 1. Theory of stock’s value v*(t)=v*(0) exp (ar2*t);2. Theory of conservation of stock’s energy. Let stock’s energy Φbe defined as a quadratic function of stock’s price v and its derivative v, Φ=Av2+Bv+Cv2+Dv, under the constraint of basic equation, the problem was reduced to a problem of constrained optimization along optimal path. Using Lagrange multiplier and Euler equation of variation method, it can be proved that Φkeeps conservation for any v,v. The application of these equations and theories on judgement and analysis of tendency of stock market are given, and the judgement is checked to be correct by the recorded tendency of Shenzhen and Shanghai stock markets. 相似文献