共查询到20条相似文献,搜索用时 203 毫秒
1.
Milan Jasem 《Mathematica Slovaca》2007,57(2):107-118
In the paper isometries in pseudo MV-algebras are investigated. It is shown that for every isometry f in a pseudo MV-algebra
= (A, ⊕, −, ∼, 0, 1) there exists an internal direct decomposition
of
with
commutative such that
and
for each x ∈ A.
On the other hand, if
is an internal direct decomposition of a pseudo MV-algebra
= (A, ⊕, −, ∼, 0, 1) with
commutative, then the mapping g: A → A defined by
is an isometry in
and
.
相似文献
2.
We obtain new exact inequalities of the form
for functions defined on the axis R or the semiaxis R
+ in the case where
for functions defined on the axis R in the case where
and for functions of constant sign on R or R
+ in the case where
and in the case where
.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 3, pp. 291–302, March, 2006. 相似文献
3.
Glyn Harman 《Archiv der Mathematik》2008,90(3):239-245
Let P
+(m) denote the greatest prime factor of the positive integer m. Improving and simplifying work of Dartyge [3] we show that
for . Here improves on the previous exponent .
Received: 20 April 2007 相似文献
4.
M. N. Yakovlev 《Journal of Mathematical Sciences》2008,150(2):1998-2004
It is proved that under certain assumptions on the functions q(t) and f(t), there is one and only one function u0(t) ∈
at which the functional
attains its minimum. An error bound for the finite element method for computing the function u0(t) in terms of q(t), f(t), and the meshsize h is presented. Bibliography: 3 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 346, 2007, pp. 149–159. 相似文献
5.
N. V. Smorodina 《Journal of Mathematical Sciences》2007,145(2):4914-4922
Let ξ(t), t ∈ [0, 1], be a strictly stable process with an index of stability α ∈ (0, 2). By
we denote the law of ξ in the Skorokhod space
[0,1]. For arbitrary strictly stable process ξ, we construct a semigroup of transformations of
[0, 1] for which the measure
is quasi-invariant. For strictly stable processes with positive and negative jumps, we construct a group of transformations
of
[0, 1] for which the measure
is quasi-invariant. In the symmetric case, this group is a group of invariant transformations. Bibliography: 10 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 339, 2006, pp. 135–149. 相似文献
6.
We theoretically investigate the asymptotical stability, local bifurcations and chaos of discrete-time recurrent neural networks
with the form of
, where the input-output function is defined as a generalized sigmoid function, such asv
i
=2/π arctan(π/2μiμi),
and
, etc. Numerical simulations are also provided to demonstrate the theoretical results. 相似文献
7.
M. N. Yakovlev 《Journal of Mathematical Sciences》2006,137(3):4879-4884
It is proved that the boundary-value problem
has a unique nonnegative solution if the following conditions are fulfilled:
. Bibliography: 2 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 323, 2005, pp. 215–222. 相似文献
8.
M. N. Yakovlev 《Journal of Mathematical Sciences》2009,157(5):784-788
The paper presents an error bound of the Ritz method for the problem of minimizing the functional
in the space
in the case where the standard assumption on the continuity of q(t) is replaced by the condition q2(t)t(1-t) ∈ L(0,1). In the case where q(t) is continuous, the new bound is sharper than the known one. Bibliography: 5 titles.
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 359, 2008, pp. 208–215. 相似文献
9.
Let
be a nondecreasing sequence of positive numbers and let l
1,α be the space of real sequences
for which
. We associate every sequence ξ from l
1,α with a sequence
, where ϕ(·) is a permutation of the natural series such that
, j ∈ ℕ. If p is a bounded seminorm on l
1,α and
, then
Using this equality, we obtain several known statements.
__________
Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 7, pp. 1002–1006, July, 2005. 相似文献
10.
Let ∑ be either an oriented hyperplane or the unit sphere in
, let
be open and connected and let
be an open and connected domain in
such that
. If in
is a null solution of the Dirac operator (also called a monogenic function in
) which is continuously extendable to
, then conditions upon
are given enabling the monogenic extension of
across
. In such a way Schwarz reflection type principles for monogenic functions are established in the Spin (1) and Spin
cases. The Spin (1) case includes the classical Schwarz reflection principle for holomorphic functions in the plane. The
Spin
case deals with so-called “half boundary value problems” for the Dirac operator.
Received: 2 February 2006 相似文献
11.
A family of transitive modular Lie superalgebras with depth one 总被引:1,自引:0,他引:1
Wen-de LIU~ 《中国科学A辑(英文版)》2007,50(10):1451-1466
The embedding theorem is established for Z-graded transitive modular Lie superalgebras g=(?)satisfying the conditions: (i)g0(?)(g-1)and g0-module g-1 is isomorphic to the natural(?)(g-1)-module; (ii)dim g1=2/3n(2n~2 1),where n=1/2dim g-1. In particular,it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian superalgebras.The restricted Lie superalgebras are also considered. 相似文献
12.
Bai Zhanbing Liang Xiangqian Li Weiming 《高校应用数学学报(英文版)》2007,22(1):13-20
This paper deals with the existence of triple positive solutions for the 1-dimensional equation of Laplace-type(φ(x'(t)))' q(t)f(t,x(t),x'(t)) = 0, t ∈ (0, 1),subject to the following boundary condition:a1φ(x(0)) - a2φ(x'(0)) = 0, a3φ(x(1)) a4φ(x'(1)) = 0,where φ is an odd increasing homogeneous homeomorphism. By using a new fixed point theorem,sufficient conditions are obtained that guarantee the existence of at least three positive solutions. The emphasis here is that the nonlinear term f is involved with the first order derivative explicitly. 相似文献
13.
A. K. Tripathy 《Mathematica Slovaca》2008,58(5):581-604
Oscillatory and asymptotic behaviour of solutions of a class of fourth order nonlinear neutral difference equations of the
form
and
are studied under the assumption < ∞, for different ranges of p(n). Sufficient conditions are obtained for the existence of positive bounded solutions of (E).
相似文献
14.
We define the reduced minimum modulus
of a nonzero element a in a unital C
*-algebra
by
. We prove that
. Applying this result to
and its closed two side ideal
, we get that dist
,
and
for any
if RR
= 0, where
and
is the quotient homomorphism and
. These results generalize corresponding results in Hilbert spaces. 相似文献
15.
1.IntroductionManypapershavebeendevotedtotheexistenceoftimeperiodicsolutionsforsemilinearparabolicequations,see[1--8].Atthesametime,thestudyofquasilinearperiodic-parabolicequationsalsoattractedmanyauthors,seealso[9--141.Inparticular,recentlyHess,PozioandTesei[13]usedthemonotonicitymethodstodealwiththeequationsonot=aam a(x,t)u,wherem>1andaisafunctionperiodicint,andMizoguchi[lllappliedtheLeray-Schauderdegreetheorytoinvestigatetheequationswithsuperlinearforcingtermwherem>1,hisapositiveperiodicf… 相似文献
16.
C. A. Stuart 《Milan Journal of Mathematics》2008,76(1):329-399
In the first part of these notes, we deal with first order Hamiltonian systems in the form where the phase space X may be infinite dimensional so as to accommodate some partial differential equations. The Hamiltonian is required to be invariant with respect to the action of a group of isometries where is skew-symmetric and JA = AJ. A standing wave is a solution having the form for some and such that . Given a solution of this type, it is natural to investigate its stability with respect to perturbations of the initial condition.
In this context, the appropriate notion of stability is orbital stability in the usual sense for a dynamical system. We present
some of the important criteria for establishing orbital stability of standing waves.
In the second part we consider the nonlinear Schr?dinger equation which provides an interesting example of this situation
where standing waves appear as time-harmonic solutions. We show how the general theory applies to this case and review what
is known about stability.
Received: January 2008 相似文献
17.
M. M. Kabardov 《Vestnik St. Petersburg University: Mathematics》2008,41(4):355-359
A method for inverting the Laplace transform based on expanding the original in Laguerre polynomials as $ f(t) = \sum\limits_{k = 0}^\infty {a_k L_k (bt)} $ is suggested. The representation of the Laguerre series by a linear-fractional mapping is reduced to a power series of the form $ \sum\nolimits_{k = 0}^\infty {a_k z^k } A method for inverting the Laplace transform based on expanding the original in Laguerre polynomials as
is suggested. The representation of the Laguerre series by a linear-fractional mapping is reduced to a power series of the
form , which is summed by the well-known Euler-Knopp method. The summation parameter is chosen in the complex plane so that the
new expansion
of the original corresponding to the Euler-Knopp transformation converge at a maximum rate. On the basis of geometric representations,
the influence of the requirement that the Euler-Knopp transformation must be regular on the choice of the summation parameter
is discussed. Numerical experiments are performed, which demonstrate the high efficiency of the method of choosing a complex
parameter suggested in this paper.
Original Russian Text ? M.M. Kabardov, 2008, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika,
Mekhanika, Astronomiya, 2008, No. 4, pp. 84–89. 相似文献
18.
We prove that if f belongs to the Morrey space
, with λ ∊ [0, n−2], and u is the solution of the problem
then Du belongs to the space
, for any
Mathematics Subject Classification (2000) 35J25, 35D10 相似文献
19.
Karl-Hermann Neeb 《Semigroup Forum》1996,53(1):230-261
We say that an invariant convex coneW in a Lie algebras
is elliptic if its interior consists of elliptic elements of
. If such a cone exists, then
has a compactly embedded Cartan subalgebra. The first main result, of this paper is a characterization of those Lie algebras,
which contain elliptic invariant cones. If
is an invariant domain in such a cone, then we characterize the invariant locally convex functions onD by their restrictions to
where
is a compactly embedded Cartan subalgebra. 相似文献
20.
LetF be an algebraic function field of one variable over a finite field
. We prove that
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