Arabian Journal of Mathematics
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Coupled nonlinear Schrödinger equations with harmonic potential
Arabian Journal of Mathematics - Tập 7 - Trang 195-218 - 2017
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 functions
Arabian Journal of Mathematics - Tập 6 - Trang 309-314 - 2017
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 domainsAbstract Let D be an integrally closed domain, $$\{V_{\alpha }\}$$
{
V
α
}
t -linked valuation overrings of D , and $$v_c$$
v
c
D defined by $$I^{v_c} = \bigcap _{\alpha } IV_{\alpha }$$
I
v
c
=
⋂
α
I
V
α
I of D . In this paper, among other things, we prove that D is a $$v_c$$ hiện toàn bộ
Arabian Journal of Mathematics - - 2021
Solving Yosida inclusion problem in Hadamard manifold
Arabian Journal of Mathematics - Tập 9 - Trang 357-366 - 2019
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......
Some generalizations of ascent and descent for linear operators
Arabian Journal of Mathematics - Tập 10 - Trang 367-393 - 2021
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......
Applications of a version of the de Rham lemma to the existence theory of a weak solution to the Maxwell–Stokes type equation
Arabian Journal of Mathematics - Tập 9 Số 1 - Trang 9-18 - 2020
Some results concerning n-σ-centralizing mappings in semiprime rings
Arabian Journal of Mathematics - - 2014
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
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......
#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 rings
Arabian Journal of Mathematics - Tập 7 - Trang 189-193 - 2017
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 \rightarro......
Sensitivity analysis of queueing models based on polynomial chaos approach
Arabian Journal of Mathematics - Tập 10 - Trang 527-542 - 2021
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......
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