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1.
I. Bert Russak 《Journal of Optimization Theory and Applications》1970,6(6):424-452
This paper serves as the sequel to a recent article by the author concerned with a certain canonical control problem. The present paper extends the first-order necessary conditions obtained there to a general form of the control problem of Bolza with inequality state constraints of the type (t, x)0, =1,...,m.The preparation of this paper was sponsored in part by the U.S. Army Research Office under Grant No. DA-31-124-ARO(D)-355. 相似文献
2.
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
3.
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
4.
, (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
5.
Chang -Pao Chen 《Analysis Mathematica》1996,22(2):99-112
f(x,y)
jk
. , {c
jk} , f(x, )(, ) [0,1)х[0,1) , - (0,0). , , f, - f. , , , [1] . . - [5] [6].
This research is supported by National Science Council, Taipei, R.O.C. under Grant #NSC 84-2121-M-007-026. 相似文献
This research is supported by National Science Council, Taipei, R.O.C. under Grant #NSC 84-2121-M-007-026. 相似文献
6.
M. I. Dyachenko 《Analysis Mathematica》1995,21(1):3-21
f(x,y) 0BV(T2), ={1/n}
n=1
.
Dedicated to Professor Károly Tandori, the outstanding mathematician and academician on his seventieth birthday
This work was done under the financial support of the Russian Foundation for Fundamental Scientific Research, Grant 93-01-00240. 相似文献
Dedicated to Professor Károly Tandori, the outstanding mathematician and academician on his seventieth birthday
This work was done under the financial support of the Russian Foundation for Fundamental Scientific Research, Grant 93-01-00240. 相似文献
7.
Summary This paper considers the finite element approximation of the semi-definite Neumann problem: –·(u)=f in a curved domain
n
(n=2 or 3),
on and
, a given constant, for dataf andg satisfying the compatibility condition
. Due to perturbation of domain errors (
h
) the standard Galerkin approximation to the above problem may not have a solution. A remedy is to perturb the right hand side so that a discrete form of the compatibility condition holds. Using this approach we show that for a finite element space defined overD
h
, a union of elements, with approximation powerh
k
in theL
2 norm and with dist (,
h
)Ch
k
, one obtains optimal rates of convergence in theH
1 andL
2 norms whether
h
is fitted (
h
D
h
) or unfitted (
h
D
h
) provided the numerical integration scheme has sufficient accuracy.Partially supported by the National Science Foundation, Grant #DMS-8501397, the Air Force Office of Scientific Research and the Office of Naval Research 相似文献
8.
T. I. Akhobadze 《Analysis Mathematica》1982,8(2):79-102
. , , –1<<0. .
The present work was written on the basis of two earlier works received byAnalysis Mathematica on January 16, 1979, and July 20, 1979. 相似文献
The present work was written on the basis of two earlier works received byAnalysis Mathematica on January 16, 1979, and July 20, 1979. 相似文献
9.
10.
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
11.
В. Н. Деменко 《Analysis Mathematica》1989,15(1):17-35
p- . E R
n -, f () p(R
n)., ER
n 2nq
0, E— - q
0(q
0-1). : q0>2 n1 E
R
n 2nq
0, p- p<0. , f-[-, ]n, f A
p(R
n) ,
p([-, ]n) (1 << ). 相似文献
12.
Yasunari Higuchi 《Probability Theory and Related Fields》1991,90(2):203-221
Summary We prove the existence of a real valued random field with parameters in thed-dimensional cubic lattice, such that the distribution of the level set of this random field is a Gibbs state for the nearest neighbour ferromagnetic Ising model. Using this, we prove the continuity of the percolation probability with respect to the parameter (,h) in the uniqueness region except on the critical curve
c
={(,h
c
())}, whereh
c() is the critical level of the external field above which percolation takes place.Supported in part by JSPS, BiBoS, Grant in Aid for Cooperative research no. 62303006 and Grant in Aid for Scientific Research no. 63540168 相似文献
13.
S. P. Zhou 《Analysis Mathematica》1994,20(2):155-159
[Zho2] {x
n
} ,
n
0 n .
Supported in part by an NSERC Postdoctoral Fellowship and a CRF grant of University of Alberta. 相似文献
Supported in part by an NSERC Postdoctoral Fellowship and a CRF grant of University of Alberta. 相似文献
14.
J. J. Blair 《Numerische Mathematik》1972,19(2):99-109
Letu be the solution of the differential equationLu(x)=f(x, u(x)) forx(0,1) (with appropriate boundary conditions), whereL is an elliptic differential operator. Letû be the Galerkin approximation tou with polynomial spline trial functions. We obtain error bounds of the form
, where 0jm andmk2m+q,p=2 orp=,h is the mesh size andq is a non negative integer depending on the splines being used.This research was supported in part by the Office of Naval Research under Contract N00014-69-A0200-1017. 相似文献
15.
Summary Let be the difference of a pair of adjacent eigen-values of the differential equation (1) for the spheroidal functions. Until now only the two first terms of the asymptotic expansion (2) of for large *2=–2 had been known. In this note the next term, i. e. the coefficient of *–2, is given, and the way of calculating it is described.
The preparation of this note containing partial results, was sponsored by the European Office Air Research and Development Command, U. S. Air Force, Project No. AF 61 (514)-443. 相似文献
The preparation of this note containing partial results, was sponsored by the European Office Air Research and Development Command, U. S. Air Force, Project No. AF 61 (514)-443. 相似文献
16.
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
17.
Approximation of the viability kernel 总被引:4,自引:0,他引:4
Patrick Saint-Pierre 《Applied Mathematics and Optimization》1994,29(2):187-209
We study recursive inclusionsx
n+1
G(x
n
). For instance, such systems appear for discrete finite-difference inclusionsx
n+1 G
(x
n) whereG
:=1+F. The discrete viability kernel ofG
, i.e., the largest discrete viability domain, can be an internal approximation of the viability kernel ofK underF. We study discrete and finite dynamical systems. In the Lipschitz case we get a generalization to differential inclusions of the Euler and Runge-Kutta methods. We prove first that the viability kernel ofK underF can be approached by a sequence of discrete viability kernels associated withx
n+1
(xn) where
(x) =x + F(x) + (ML/2)
2. Secondly, we show that it can be approached by finite viability kernels associated withx
h
n+1
(
(x
h
n+1
) +(h) X
h
. 相似文献
18.
Summary We consider the problem of comparing large finite and infinite systems with locally interacting components, and present a general comparison scheme for the case when the infinite system is nonergodic. We show that this scheme holds for some specific models. One of these is critical branching random walk onZ
d
. Let
t
denote this system, and let
t
N
denote a finite version of
t
defined on the torus [–N,N]
d
Z
d
. Ford3 we prove that for stationary, shift ergodic initial measures with density , that ifT(N) andT(N)/(2N+1)d s[0,] asN, then {v
}, 0 is the set of extremal invariant measures for the infinite system
t
andQ
s
is the transition function of Feller's branching diffusion. We prove several extensions and refinements of this result. The other systems we consider are the voter model and the contact process.Work supported in part by the National Science Foundation under Grant DMS-8802055, by the U.S. Army Research Office through the Mathematical Sciences Institute at Cornell University and by the Deutsche Forschungsgemeinschaft through the SFB 123 at the Universität Heidelberg 相似文献
19.
C. W. Onneweer 《Analysis Mathematica》1978,4(4):297-302
G- p- . [5] - (G) L
r(G) (1r<), . . , - . , , , . . , X. , . (. [1], [2] [4]). 相似文献
20.
Philip E. Gill Walter Murray Michael A. Saunders Margaret H. Wright 《Mathematical Programming》1989,45(1-3):437-474
A procedure is described for preventing cycling in active-set methods for linearly constrained optimization, including the simplex method. The key ideas are a limited acceptance of infeasibilities in all variables, and maintenance of a working feasibility tolerance that increases over a long sequence of iterations. The additional work per iteration is nominal, and stalling cannot occur with exact arithmetic. The method appears to be reliable, based on computational results for the first 53 linear programming problems in theNetlib set.The material contained in this report is based upon research supported by the Air Force Office of Scientific Research Grant 87-01962; the U.S. Department of Energy Grant DE-FG03-87ER25030; National Science Foundation Grants CCR-8413211 and ECS-8715153; and the Office of Naval Research Contract N00014-87-K-0142. 相似文献