共查询到20条相似文献,搜索用时 125 毫秒
1.
Lu(t)+(u,F)g(t)=f(t), tS. , ( F, g). .
The authors wish to thank Professor Yu. A. Rozanov for his help and discussions. 相似文献
The authors wish to thank Professor Yu. A. Rozanov for his help and discussions. 相似文献
2.
F. Móricz 《Analysis Mathematica》1979,5(2):135-147
Z
d — k=(k
1, ...,k
d) k
j,d1.d- (8), . .
a
k s
m=
a
k s, >0 N, min (m
1,...,m
d)N, ¦s
m–s¦. , , >0 N, min (m
1,...,m
d)N min (n
1,...,n
d)N, ¦s
m–s
n. . , (8) , >0 N, max (b
1,...,b
d) N, m — Z
d
, m1, ¦s(b, m)¦ where
相似文献
3.
Let m
, 0 m+ in Kato's class. We investigate the spectral function s( + m) where s( + m) denotes the upper bound of the spectrum of the Schrödinger operator + m. In particular, we determine its derivative at 0. If m- is sufficiently large, we show that there exists a unique 1 > 0 such that s( + 1m) = 0. Under suitable conditions on m+ it follows that 0 is an eigenvalue of + 1m with positive eigenfunction. 相似文献
4.
G. G. Gevorkyan 《Analysis Mathematica》1986,12(3):185-190
, (t) >0 E(–, +),E<, , ¦f(t)¦ (t)
xE, f(t)=0 (–, +). 相似文献
5.
6.
Thorsten Kröncke 《Integral Equations and Operator Theory》2001,40(1):80-105
Let T- S, be a family of not necessarily bounded semi-Fredholm operators, where T and S are operators acting between Banach spaces X and Y, and where S is bounded with D(S) D(T). For compact sets , as well as for certain open sets , we investigate existence and minimal rank of bounded feedback perturbations of the form F=BE such that min.ind (T-S+F)=0 for all . Here B is a given operator from a linear space Z to Y and E is some operator from X to Z.We give a simple characterization of that situation, when such regularizing feedback perturbations exist and show that for compact sets the minimal rank never exceeds max { min.ind (T-S) }+1. Moreover, an example shows that the minimal rank, in fact, may increase from max {...} to max {...}+1, if the given B enforces a certain structure of the feedbachk perturbation F.However, the minimal rank is equal to max { min.ind (T-S) }, if is an open set such that min.ind (T-S) already vanishes for all but finitely many points . We illustrate this result by applying it to the stabilization of certain infinite-dimensional dynamical systems in Hilbert space. 相似文献
7.
L. Leindler 《Analysis Mathematica》1995,21(1):23-33
, , . .
Dedicated to Academician S. M. Nikol'skii on his 90th birthday
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant # 234. 相似文献
Dedicated to Academician S. M. Nikol'skii on his 90th birthday
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant # 234. 相似文献
8.
Ch. Pommerenke 《Analysis Mathematica》1977,3(4):291-297
f . , , — , A f f(). , , f() 0 . , , ,A , f . , f() - f() . , , . (1976) ( ¦f(z)¦<1) . . (1969) ( ). 相似文献
9.
10.
11.
А. В. Резцов 《Analysis Mathematica》1995,21(2):129-135
Q (.. , L). Q . P(Sr(2)) — 2 (S
r(2) (r — ). , M(P(S
r(m=sup{t(·)t(·)1:t P(S
r(2)),t 0}. , /4+(1)M(P(S
r(2)))/r
215/17+(1)(r+). (Q), Q L. 相似文献
12.
L
p
, 0<<1, . 相似文献
13.
J. Lippus 《Analysis Mathematica》1984,10(3):213-231
- ()N2,L
F
(
) — , 2- , {s
m()
f} -L.
— . (L
F(
),L
F(
) ={(k)} (kZ2) , fLF(
) f
,
, L
F(
). - ={()} ={()} , n(())m()n(()+())
. R() , ..
- . , . (L
F
(
),L
F
(
)) , R(,)=O(1) (x).
The author wishes to express his gratitude to S. A.Teljakovski for setting the problem and for his attention to this paper. 相似文献
The author wishes to express his gratitude to S. A.Teljakovski for setting the problem and for his attention to this paper. 相似文献
14.
, n- n- 1 , . , , ( « ») f . 相似文献
15.
We consider the boundary-value problem u
tt + u
t + (1 + cos2)sin u =2
u
xx, u
x|x=0=ux|x==0, where 0<1, =(1+)t, ,> 0, and the sign of is arbitrary. It is proved that for an appropriate choice of the external parameters and and for sufficiently small the number of exponentially stable solutions 2-periodic in can be made equal to an arbitrary predefined number. 相似文献
16.
D. M. Smirnov 《Algebra and Logic》2004,43(4):249-257
For integers 1 m < n, a Cantor variety with m basic n-ary operations i and n basic m-ary operations k is a variety of algebras defined by identities k(1(
), ... , m(
)) =
k and i(1(
), ... ,n(
)) = y
i, where
= (x
1., ... , x
n) and
= (y
1, ... , y
m). We prove that interpretability types of Cantor varieties form a distributive lattice, , which is dual to the direct product 1 × 2 of a lattice, 1, of positive integers respecting the natural linear ordering and a lattice, 2, of positive integers with divisibility. The lattice is an upper subsemilattice of the lattice
of all interpretability types of varieties of algebras. 相似文献
17.
18.
(0; 0, 1) , {x
k
<x
k
*
<x
k+1}
k=1
n–1
{x
k
k=1
n
}., I, ,
n
(x)=P
n
(, )
(x)–n- , =, n3 . , x
0=+1 x
n+1= –1. II .
To the memory of Paul Erds
The research was supported by the Hungarian National Foundation for Scientific Research under Grant # T 914 244. 相似文献
To the memory of Paul Erds
The research was supported by the Hungarian National Foundation for Scientific Research under Grant # T 914 244. 相似文献
19.
Marilyn Breen 《Journal of Geometry》1988,32(1-2):1-12
Let S be a subset of the plane. In case (int cl S) S = , then S is finitely starlike if and only if every 4 points of S see via S a common point. In case (int cl S) S has at most countably many components, each a singleton set, then S is finitely starlike if and only if every 5 points of S see via S a common point. Each of the numbers 4 and 5 is best possible. Examples show that these results fail without suitable restrictions on (int cl S) S. Moreover, a final example shows that if a general Krasnosel'skii number . exists to characterize finitely starlike sets in the plane, then > 9. 相似文献
20.
M. F. Timan 《Analysis Mathematica》1978,4(1):75-82
N- (p, q) (1 p
N-, L p - L q -. , , , L L q - , , . 相似文献