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1.
Summary We examine the problem:u+a(x)u–b(x)u=f(x) for 0<x<1,a(x)>0,b(x)>,
2
= 4>0,a, b andf inC
2 [0, 1], in (0, 1],u(0) andu(1) given. Using finite elements and a discretized Green's function, we show that the El-Mistikawy and Werle difference scheme on an equidistant mesh of widthh is uniformly second order accurate for this problem (i.e., the nodal errors are bounded byCh
2, whereC is independent ofh and ). With a natural choice of trial functions, uniform first order accuracy is obtained in theL
(0, 1) norm. On choosing piecewise linear trial functions (hat functions), uniform first order accuracy is obtained in theL
1 (0, 1) norm. 相似文献
2.
Jesüs M. Ruiz 《manuscripta mathematica》1984,46(1-3):193-214
Let XoR
n be an irreducible analytic germ and the order space of its field of meromorphicfunetion germs. A formal half-branch in Xo is a kind of C-map germ c[0,)Xo; an ordering is centered at c if it contains the functions which are positive on c. We obtain a partition 1,...,d, d=dim Xo, of the set * of central (i.e.: centered at some half-branch) orderings, according to the dimension of half-branches. Then we show that all e, e= 1,.,d, as well as the set \* of noncentral orderings, are dense in . Finally, we solve the 17th Hubert Problem for analytic germs. 相似文献
3.
F. Schipp 《Analysis Mathematica》1990,16(2):135-141
H={h
1,I } — , . : , I ¦(I)¦=¦I¦, ¦I¦ — I. H H
={h
(I),I} . , , . L
p
.
Dedicated to Professor B. Szökefalvi-Nagy on his 75th birthday
This research was supported in part by MTA-NSF Grants INT-8400708 and 8620153. 相似文献
Dedicated to Professor B. Szökefalvi-Nagy on his 75th birthday
This research was supported in part by MTA-NSF Grants INT-8400708 and 8620153. 相似文献
4.
This paper investigates the properties of (0) optimal policies in the model of [2]. It is shown that, if * = (
0
*
,
1
*
,...,
n
*
,
n
+1/*
, ...) is a-discounted optimal policy, then (
0
*
,
1
*
, ...,
n
*
) for alln0 is also a-discounted optimal policy. Under some condition we prove that stochastic stationary policy
n
*
corresponding to the decision rule
n
*
is also optimal for the same discounting factor. We have also shown that for each-optimal stochastic stationary policy
0
*
,
0
*
can be decomposed into several decision rules to which the corresponding stationary policies are also-optimal separately; and conversely, a proper convex combination of these decision rules is identified with the former
0
*
. We have further proved that for any (,)-optimal policy, say *=(
0
*
,
1
*
, ...,
n
*
,
n
+1/*
, ...),
n–1
*
) is ((1–
n
)–1
e, ) optimal forn>0. At the end of this paper we mention that the results about convex combinations and decompositions of optimal policies of § 4 in [1] can be extended to our case.Project supported by the Science Fund of the Chinese Academy of Sciences. 相似文献
5.
Jose Seade 《Bulletin of the Brazilian Mathematical Society》1996,27(2):199-215
This note gives a method for constructing real analytic maps from 2n
into 2, with an isolated critical point at 0 2n
, for alln>1. This provides infinite families of real singularities which fiber a la Milnor.Research partially supported by CONACYT, Mexico, grant 1206-E92103. 相似文献
6.
M. Sh. Braverman 《Journal of Mathematical Sciences》1993,67(4):3156-3161
Let Xt(0 t < ) be a homogeneous stochastically continuous stochastic process with independent increments; (, A, P) be the corresponding probability space; p, q1 be fixed numbers. Necessary and sufficient conditions are found for a stochastic integral defined on finite-valued functions to be extendable to a bounded operator from Lp (0, ) to Lq() (p q).Translated from Teoriya Sluchainykh Protsessov, No. 16, pp. 7–13, 1988. 相似文献
7.
, (n), - (P
n
), P
n
(A
n
)>0P
n
(A
n
)0,n. [15] - , . , P
n
P
n
T
n
T
n
. 相似文献
8.
Gunter Weiß 《Journal of Geometry》1981,17(1):46-49
LetV be a quadrilateral in aMoufang-plane , in which theFano-proposition is valid. Take the pointsP,Q,R respectively in the diagonalsp,q,r ofV and construe the pointsP
*,Q
*,R
* inp,q, r harmonic toP,Q,R with respect to pairs of edges ofV. IfP,Q,R are collinear, so areP
*,Q
*,R
*, if and only if is aPappos-plane. Is V classical, the pointsP
1
p,Qq,Rr and their harmonic conjugatesP
1
*
,Q
*,R
* (construed as above mentioned) lay in a curve of 2nd order.
R. Artzy zum 70. Geburtstag zugeeignet 相似文献
R. Artzy zum 70. Geburtstag zugeeignet 相似文献
9.
Mary E. Gbur 《Monatshefte für Mathematik》1976,81(2):95-107
C. Hightower found two infinite sequences of gaps in the Markov spectrum, (
n
,
n
) and (
n
,
n
) with
n
and
n
both Markov elements, converging to
. This paper exhibits Markov elements
n
*
and
n
*
such that, for alln 1, (
n
*
,
n
) and (
n
n
*
) are gaps in the Markov spectrum. Other results include showing that, for alln 1,
n
is completely isolated, while the other endpoints of the gaps are limit points in the Markov spectrum. 相似文献
10.
V. G. Sushko 《Mathematical Notes》1970,8(3):646-652
The proximity is investigated of the solution of Cauchy's problem for the equation u
t
+((u))x= u
xx
((u) > 0) to the solution of Cauchy's problem for the equation ut+ ((u))x= 0, when the solution of the latter problem has a finite number of lines of discontinuity in the strip 0 t T. It is proved that, everywhere outside a fixed neighborhood of the lines of discontinuity, we have |u–u| C, where the constant C is independent of. Similar inequalities are derived for the first derivatives of u–u.Translated from Matematicheskie Zametki, Vol. 8, No. 3, pp. 309–320, September, 1970.In conclusion we express our gratitude to L. A. Chudov for his valuable advice concerning this work. 相似文献
11.
V. T. Gavrilyuk 《Ukrainian Mathematical Journal》1990,42(6):659-666
Asymptotic estimates, expressed in terms of the value of the modulus of continuity of r-th order (r2) at the point t=/n of a functionf
C
2 or of the (, )-derivative of a functionf
C
B
C, are established for the deviations of continuous periodic functions from their Fourier sums.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 747–755, June, 1990. 相似文献
12.
Markus Stroppel 《Geometriae Dedicata》1993,45(1):93-99
In [4], K. Strambach describes a 2-dimensional stable plane
admitting =SL2 as a group of automorphisms such that there exists no -equivarient embedding into a 2-dimensional projective plane. R. Löwen [3] has given a 4-dimensional analogue
, admitting =SL2. He posed the question whether there are embeddings of Strambach's plane
into
. We show that such embeddings exist, in fact we determine all -equivariant embeddings of 2-dimensional stable planes admitting as atransitive group of automorphisms. 相似文献
13.
Rolf Rannacher 《Mathematische Zeitschrift》1976,149(1):69-77
Summary For piecewise linear Ritz approximation of second order elliptic Dirichlet problemsAu=f over domains
n
globalL
error boundsO(h
2|lnh|v) are obtained under the assumptionfL
(). The proof rests on interpolation ofH
2()-functions with second derivatives in the space of John and Nirenberg by piecewise linear splines and a technique of Nitsche [7] using weighted Sobolev norms.
Diese Note wurde verfaßt mit der Unterstützung des Sonderforschungsbereiches 72 der DFG, Bundesrepublik Deutschland 相似文献
Diese Note wurde verfaßt mit der Unterstützung des Sonderforschungsbereiches 72 der DFG, Bundesrepublik Deutschland 相似文献
14.
A. S. Serdyuk 《Ukrainian Mathematical Journal》2004,56(4):601-613
We establish asymptotically unimprovable interpolation analogs of Lebesgue-type inequalities on the classes of periodic infinitely differentiable functions C
C whose elements can be represented in the form of convolutions with fixed generating kernels. We obtain asymptotic equalities for upper bounds of approximations by interpolation trigonometric polynomials on the classes C
,
and C
H
.Translated from Ukrainskyi Matematychnyi Zhurnal, Vol. 56, No. 4, pp. 495–505, April, 2004. 相似文献
15.
We considered the following natural conjecture: For every sorting algorithm every key will be involved in(logn) comparisons for some input. We show that this is true for most of the keys and prove matching upper and lower bounds. Every sorting algorithm for some input will involven–n
/2+1 keys in at leastlog2
n comparisons,>0. Further, there exists a sorting algorithm that will for every input involve at mostn–n
/c
keys in greater thanlog2
n comparisons, wherec is a constant and>0. The conjecture is shown to hold for natural algorithms from the literature. 相似文献
16.
Letf be analytic in a hyperbolic region . The Bloch constant
f
off is defined by
, where (z)|dz| is the Poincaré metric in . Suppose is hyperbolic and
where
. Then for allf withf() , we have
f
1/(). In this paper we study the extremal functions defined by
f
=1/() and the existence of those functions.Supported by the National Natural Science Foundation of China. 相似文献
17.
V. A. Andrienko 《Analysis Mathematica》1996,22(4):243-266
( ) . .
Dedicated to Professor K. Tandori on his seventieth birthday
This research was supported in part by Grant # K41 100 of the Joint Fund of the Government of Ukraine and the International Science Foundation. 相似文献
Dedicated to Professor K. Tandori on his seventieth birthday
This research was supported in part by Grant # K41 100 of the Joint Fund of the Government of Ukraine and the International Science Foundation. 相似文献
18.
On Mittag-Leffler functions and related distributions 总被引:1,自引:0,他引:1
R. N. Pillai 《Annals of the Institute of Statistical Mathematics》1990,42(1):157-161
The distribution F
() = 1 – E
(–), 0 < 1; 0 , where E
(x) is the Mittag-Leffler function is studied here with respect to its Laplace transform. Its infinite divisibility and geometric infinite divisibility are proved, along with many other properties. Its relation with stable distribution is established. The Mittag-Leffler process is defined and some of its properties are deduced. 相似文献
19.
G— - {G
n
}
n
=– , G
n
=G G
n
={0}. G. K(,p,q;G) K(,p,q;) - G , . , G - (. . sup {order (G
n
/G
n
+1):=0, ± 1, ...<), K(.,p,q;G) L
p/(p–p–1),q
() L
p/(p–p–1),q
() K(-,p,q; ), 1<p2, 0<<1/p=1–1/p, 0<q. . . . . 相似文献
20.
V. F. Gapoškin 《Analysis Mathematica》1980,6(2):105-119
a
k
f
k
, f
k
L
2, w-, (2), w(n) — .
a
k
f
k
N {a
k
}l
2, {a
k
}l
2 ( 1, 2, 1a, 2a). ( 2) [8]. , {a
k
} w-. 相似文献