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Well-posed problems for the fractional Laplace equation with integral boundary conditions [PDF]

open access: yesElectronic Journal of Differential Equations, 2018
In this remark we study the boundary-value problems for a fractional analogue of the Laplace equation with integral boundary conditions in rectangular and half-strip domains.
Niyaz Tokmagambetov, Berikbol T. Torebek
doaj   +3 more sources

Dp-Minimal integral domains [PDF]

open access: yesIsrael Journal of Mathematics, 2021
It is shown that every dp-minimal integral domain $R$ is a local ring and for every non-maximal prime ideal $\mathfrak p $ of $R$, the localization $R_{\mathfrak p }$ is a valuation ring and $\mathfrak{p}R_{\mathfrak{p}}=\mathfrak{p}$. Furthermore, a dp-minimal integral domain is a valuation ring if and only if its residue field is infinite or its ...
D'Elbée, Christian, Halevi, Yatir
openaire   +3 more sources

A Nyström Method for 2D Linear Fredholm Integral Equations on Curvilinear Domains

open access: yesMathematics, 2023
This paper is devoted to the numerical treatment of two-dimensional Fredholm integral equations, defined on general curvilinear domains of the plane. A Nyström method, based on a suitable Gauss-like cubature formula, recently proposed in the literature ...
Anna Lucia Laguardia, Maria Grazia Russo
doaj   +1 more source

ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
doaj   +1 more source

On Bhargava rings [PDF]

open access: yesMathematica Bohemica, 2023
Let $D$ be an integral domain with the quotient field $K$, $X$ an indeterminate over $K$ and $x$ an element of $D$. The Bhargava ring over $D$ at $x$ is defined to be $\mathbb{B}_x(D):=\{f\in\nobreak K[X] \text{for all} a\in D, f(xX+a)\in D[X]\}$.
Mohamed Mahmoud Chems-Eddin   +2 more
doaj   +1 more source

The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function

open access: yesFractal and Fractional, 2022
In the recent era of research, the field of integral inequalities has earned more recognition due to its wide applications in diverse domains. The researchers have widely studied the integral inequalities by utilizing different approaches.
Yabin Shao   +5 more
doaj   +1 more source

Integral Domains in Which Every Nonzero w-Flat Ideal Is w-Invertible

open access: yesMathematics, 2020
Let D be an integral domain and w be the so-called w-operation on D. We define D to be a w-FF domain if every w-flat w-ideal of D is of w-finite type. This paper presents some properties of w-FF domains and related domains.
Hwankoo Kim, Jung Wook Lim
doaj   +1 more source

Mathematical Aspects of Krätzel Integral and Krätzel Transform

open access: yesMathematics, 2020
A real scalar variable integral is known in the literature by different names in different disciplines. It is basically a Bessel integral called specifically Krätzel integral. An integral transform with this Krätzel function as kernel is known as Krätzel
Arak M. Mathai, Hans J. Haubold
doaj   +1 more source

Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]

open access: yes, 2011
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
B. Hanouzet   +17 more
core   +1 more source

Organic Log‐Domain Integrator Synapse

open access: yesAdvanced Electronic Materials, 2021
AbstractSynapses play a critical role in memory, learning, and cognition. Their main functions include converting presynaptic voltage spikes to postsynaptic currents, as well as scaling the input signal. Several brain‐inspired architectures have been proposed to emulate the behavior of biological synapses.
Mirshojaeian Hosseini, Mohammad Javad   +3 more
openaire   +2 more sources

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