Mathematica Slovaca

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A note on the multiplicity in factor ring
Mathematica Slovaca - Tập 58 - Trang 173-176 - 2008
Eduard Boďa
Let (R,m) = k[x 1,..., x n ](x 1,...,x n ) be a local polynomial ring (k being an algebraically closed field), and Q:= (F 1,..., F r )R be a primary ideal in R with respect to a maximal ideal m ⊂ R. In this short note we give a formula for the multiplicity e 0 (QR/(F 1)R, R/(F 1)R).... hiện toàn bộ
Periodic solution to p-Laplacian neutral Liénard type equation with variable parameter
Mathematica Slovaca - Tập 63 - Trang 381-395 - 2013
Bo Du
Using Mawhin’s continuation theorem we obtain some existence results of periodic solutions for a type of p-Laplacian neutral Liénard equation $$\left( {\phi _p \left( {\left( {x\left( t \right) - c\left( t \right)x\left( {t - \tau } \right)} \right)^\prime } \right)} \right)^\prime + f\left( {x\left( t \right)} \right)x'\left( t \right) + g\left( {x\left( {t - \gamma \left( t \right)} \right)} \ri... hiện toàn bộ
On ordered semigroups which are semilattices of left simple semigroups
Mathematica Slovaca - Tập 63 - Trang 411-416 - 2013
Niovi Kehayopulu, Michael Tsingelis
It has been proved by Tôru Saitô that a semigroup S is a semilattice of left simple semigroups, that is, it is decomposable into left simple semigroups, if and only if the set of left ideals of S is a semilattice under the multiplication of subsets, and that this is equivalent to say that S is left regular and every left ideal of S is two-sided. Besides, S. Lajos has proved that a semigroup S is l... hiện toàn bộ
Strong Poincaré recurrence theorem in MV-algebras
Mathematica Slovaca - Tập 60 - Trang 655-664 - 2010
Beloslav Riečan
The classical Poincaré strong recurrence theorem states that for any probability space (Ω, ℒ, P), any P-measure preserving transformation T, and any A ∈ ℒ, almost all points of A return to A infinitely many times. In the present paper the Poincaré theorem is proved when the σ-algebra ℒ is substituted by an MV-algebra of a special type. Another approach is used in [RIEČAN, B.: Poincaré recurrence t... hiện toàn bộ
On asymptotic linearity of L-estimates
Mathematica Slovaca - Tập 59 - Trang 667-678 - 2009
Erika Hönschová, František Rublík
A theorem on asymptotic linearity of L-estimates is proved under general set of regularity conditions, allowing the sampled distribution to be non-integrable. The main result is the improvement in the order of the remainder term in the formula for asymptotic linearity of L-statistic. It is shown that in the case of the integral coefficients this term R n = O P (1/n) and the case of functional coef... hiện toàn bộ
Sự tương đương phân loại cho các quasi lattice phân phối giới hạn thỏa mãn: x ∨ 0 = 0 ⇒ x = 0 Dịch bởi AI
Mathematica Slovaca - Tập 64 - Trang 1105-1122 - 2014
Hector Freytes, Antonio Ledda
Trong công trình này, chúng tôi nghiên cứu một sự tương đương phân loại giữa lớp các quasi lattice phân phối giới hạn thỏa mãn phương trình quasy x∨0 = 0 =⇒ x = 0, và một phân loại có các đối tượng là sheaves trên các không gian Priestley.
Oscillation theorems for second-order superlinear neutral differential equations
Mathematica Slovaca - Tập 63 - Trang 123-134 - 2013
Blanka Baculíková, Tongxing Li, Jozef Džurina
The purpose of this paper is to investigate the oscillation of the second-order neutral differential equations of the form (E) $$ (r(t)|z'(t)|^{\alpha - 1} z'(t))' + q(t)|x(\sigma (t))|^{\alpha - 1} x(\sigma (t)) = 0, $$ where z(t) = x(t) + p(t)x(τ(t)). The obtained comparison principles essentially simplify the examination of the studied equations. Further, our results extend and improve the resu... hiện toàn bộ
Oscillation criteria for nonlinear neutral functional dynamic equations on time scales
Mathematica Slovaca - Tập 63 - Trang 263-290 - 2013
I. Kubiaczyk, S. H. Saker, A. Sikorska-Nowak
In this paper, we establish some new sufficient conditions for oscillation of the second-order neutral functional dynamic equation $$\left[ {r\left( t \right)\left[ {m\left( t \right)y\left( t \right) + p\left( t \right)y\left( {\tau \left( t \right)} \right)} \right]^\Delta } \right]^\Delta + q\left( t \right)f\left( {y\left( {\delta \left( t \right)} \right)} \right) = 0$$ on a time scale $$\mat... hiện toàn bộ
A measure of nonlinearity in singular nonlinear regression models
Mathematica Slovaca - Tập 59 - Trang 535-544 - 2009
Lubomír Kubáčcek
The method used in nonlinear regression is most of the time the nonlinear squares. If the nonlinearity of the model is not too strong, it is possible to linearize the model and to use the linear statistical theory which is more simple. The question is under which condition this can be done. If the linearized model is regular such criteria were found. To find a solution for singular models is the a... hiện toàn bộ
Complete moment convergence of moving average processes under ρ-mixing assumption
Mathematica Slovaca - Tập 61 - Trang 979-992 - 2011
Xing-Cai Zhou, Jin-Guan Lin
Let {Y i : −∞ < i < ∞} be a doubly infinite sequence of identically distributed ρ-mixing random variables, and {a i : −∞ < i < ∞} an absolutely summable sequence of real numbers. In this paper we prove the complete moment convergence for the partial sums of moving average processes $\{ X_n = \sum\limits_{i = - \infty }^\infty {a_i Y_{i + n,} n \geqslant 1} \} $ based on the sequence {Y i : −∞ < i ... hiện toàn bộ
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