Coupled nonlinear Schrödinger equations with harmonic potentialArabian Journal of Mathematics - Tập 7 - Trang 195-218 - 2017
H. Hezzi, M. M. Nour, T. Saanouni
The initial value problem for a coupled nonlinear Schrödinger system with
unbounded potential is investigated. In the defocusing case, global
well-posedness is obtained. In the focusing case, the existence and
stability/instability of standing waves are established. Moreover, global
well-posedness is discussed via the potential well method.
Turán type inequalities for the q-exponential functionsArabian Journal of Mathematics - Tập 6 - Trang 309-314 - 2017
Khaled Mehrez
In this paper, our aim is to deduce some sharp Turán type inequalities for the
remainder q-exponential functions. Our results are shown to be generalizations
of results which were obtained by Alzer (Arch Math 55, 462–464, 1990).
$$v_c$$-Noetherian domains and Krull domainsArabian Journal of Mathematics - - 2021
Gyu Whan Chang
AbstractLet D be an integrally closed domain, $$\{V_{\alpha }\}$$ { V α } be the
set of t-linked valuation overrings of D, and $$v_c$$ v c be the star operation
on D defined by $$I^{v_c} = \bigcap _{\alpha } IV_{\alpha }$$ I v c = ⋂ α I V α
for all nonzero fractional ideals I of D. In this paper, among other things, we
prove that D is a $$v_c$$ v c -Noetherian domain if and only if D is a Krull
do... hiện toàn bộ
Solving Yosida inclusion problem in Hadamard manifoldArabian Journal of Mathematics - Tập 9 - Trang 357-366 - 2019
Mohammad Dilshad
We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We
study Korpelevich-type algorithm for computing the approximate solution of
Yosida inclusion problem. The resolvent and Yosida approximation operator of a
monotone vector field and their properties are used to prove that the sequence
generated by the proposed algorithm converges to the solution of Yosida
inclusion probl... hiện toàn bộ
Some generalizations of ascent and descent for linear operatorsArabian Journal of Mathematics - Tập 10 - Trang 367-393 - 2021
Zied Garbouj
The purpose of this paper is to present in linear spaces some results for new
notions called A-left (resp., A-right) ascent and A-left (resp., A-right)
descent of linear operators (where A is a given operator) which generalize two
important notions in operator theory: ascent and descent. Moreover, if A is a
positive operator, we obtain several properties of ascent and descent of an
operator in sem... hiện toàn bộ
Định lý Weyl tổng quát và tính chất (gw) cho ma trận toán tử tam giác trên Dịch bởi AI Arabian Journal of Mathematics - Tập 9 - Trang 167-179 - 2018
Mohammad Hussein Mohammad Rashid
Chúng ta biết rằng nếu $$A\in \mathscr {L}(\mathscr {X})$$ và $$B\in \mathscr
{L}(\mathscr {Y})$$ là các toán tử Banach với thuộc tính mở rộng đơn trị, SVEP,
thì toán tử ma trận $$M_\mathrm{{C}}=\begin{pmatrix} A &{} C \\ 0&{} B \\
\end{pmatrix} $$ có SVEP đối với mọi toán tử $$C\in \mathscr {L}(\mathscr
{Y},\mathscr {X}),$$ và do đó tuân theo định lý Browder tổng quát. Bài báo này
xem xét các điề... hiện toàn bộ
#định lý Weyl tổng quát #thuộc tính (gw) #toán tử Banach #ma trận toán tử tam giác trên #thuộc tính mở rộng đơn trị
A note on generalized derivations on prime ringsArabian Journal of Mathematics - Tập 7 - Trang 189-193 - 2017
Maja Fošner, Nadeem ur Rehman, Tarannum Bano
Let R be a prime ring with the extended centroid C and symmetric Martindale
quotient ring $$Q_s(R)$$ . In this paper we prove the following result. Let $$F:
R \rightarrow R$$ be a generalized derivation associated with a non-zero
derivation d on R and let h be an additive map of R such that $$F(x)x=xh(x)$$
for all $$x\in R$$ . Then either R is commutative or $$F(x)=xp$$ and $$h(x)=px$$
where $$p\i... hiện toàn bộ
Sensitivity analysis of queueing models based on polynomial chaos approachArabian Journal of Mathematics - Tập 10 - Trang 527-542 - 2021
Lounes Ameur, Lahcene Bachioua
Queueing systems are modeled by equations which depend on a large number of
input parameters. In practice, significant uncertainty is associated with
estimates of these parameters, and this uncertainty must be considered in the
analysis of the model. The objective of this paper is to propose a sensitivity
analysis approach for a queueing model, presenting parameters that follow a
Gaussian distribu... hiện toàn bộ