Mathematica Slovaca
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Periodic solution to p-Laplacian neutral Liénard type equation with variable parameter
Mathematica Slovaca - Tập 63 - Trang 381-395 - 2013
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...
On ordered semigroups which are semilattices of left simple semigroups
Mathematica Slovaca - Tập 63 - Trang 411-416 - 2013
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...
Strong Poincaré recurrence theorem in MV-algebras
Mathematica Slovaca - Tập 60 - Trang 655-664 - 2010
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...
On asymptotic linearity of L-estimates
Mathematica Slovaca - Tập 59 - Trang 667-678 - 2009
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...
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
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
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, $$ where z(t) =
x(t) + p(t)x(τ(t)). The obtained comparison principles essentially simplify the
examination of the studied equations. Further, our results extend and improve
the resu...
Oscillation criteria for nonlinear neutral functional dynamic equations on time scales
Mathematica Slovaca - Tập 63 - Trang 263-290 - 2013
In this paper, we establish some new sufficient conditions for oscillation of
the second-order neutral functional dynamic equation $$\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...
Complete moment convergence of moving average processes under ρ-mixing assumption
Mathematica Slovaca - Tập 61 - Trang 979-992 - 2011
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 ...
Real hypersurfaces in a complex space form with a condition on the structure Jacobi operator
Mathematica Slovaca - Tập 64 Số 4 - Trang 1007-1018 - 2014
Abstract In this paper we classify the real hypersurfaces in a non-flat complex
space form with its structure Jacobi operator R ξ satisfying (∇X R ξ)ξ = 0, for
all vector fields X in the maximal holomorphic distribution D. With this result,
we prove the non-existence of real hypersurfaces with D-parallel as well as
D-recurrent structure Jacobi operator in complex projective and hyperbolic
spaces. ...
On a strengthened multidimensional Hilbert-type inequality
Mathematica Slovaca - Tập 64 - Trang 1165-1182 - 2014
The main objective of this paper is a study of the general refinement and
converse of the multidimensional Hilbert-type inequality in the so-called
quotient form. Such extensions are deduced with the help of the sophisticated
use of the well-known Hölder’s inequality. The obtained results are then applied
to homogeneous kernels with the negative degree of homogeneity. Also, we
establish the condit...
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