Zobrazeno 1 - 10
of 18
pro vyhledávání: '"H. A. Atia"'
Autor:
Chen Yue, H. M. Abu-Donia, H. A. Atia, Omnia M. A. Khater, Mona S. Bakry, Eman Safaa, Mostafa M. A. Khater
Publikováno v:
AIP Advances, Vol 13, Iss 4, Pp 045113-045113-9 (2023)
This study presents fundamental theorems, lemmas, and mapping definitions. There are three types of mappings: binary operators, compatible mappings, and sequentially continuous mappings. The symbols used to represent fuzzy metric spaces are intuitive
Externí odkaz:
https://doaj.org/article/391b27c76ba4402a8b08a92c2bb5f645
Autor:
H. A. Atia
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 27, Iss 1, Pp 1-10 (2019)
Abstract Consider the bi-harmonic differential expression of the form A=△M2+q $ A=\triangle _{M}^{2}+q\ $ on a manifold of bounded geometry (M,g) with metric g, where △ M is the scalar Laplacian on M and q≥0 is a locally integrable function on
Externí odkaz:
https://doaj.org/article/7fb7ccd7839e4fe09e46d799fba9cc2f
Publikováno v:
Applied Mathematics & Information Sciences. 14:1029-1033
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e3bcc16efe3810b3ad9712f0cb8cba5
https://doi.org/10.18576/amis/140610
https://doi.org/10.18576/amis/140610
Publikováno v:
Alexandria Engineering Journal, Vol 59, Iss 3, Pp 1239-1242 (2020)
This research paper investigates and proves some theorems of the fixed point for self–mapping [ T : X → X ] under ( ϕ , ψ ) –contractive mappings and ( ϕ , φ ) –contractive mappings in Menger probabilistic 2–metric space. These theorems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::884775c4010eec261091ee329e5861ea
http://www.sciencedirect.com/science/article/pii/S1110016820300648
http://www.sciencedirect.com/science/article/pii/S1110016820300648
Publikováno v:
Journal of Nonlinear Sciences and Applications. 13:323-329
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91cfd8a0b80cc7307dfb815843a9bdeb
https://doi.org/10.22436/jnsa.013.06.03
https://doi.org/10.22436/jnsa.013.06.03
Autor:
H. A. Atia
Publikováno v:
Journal of Contemporary Mathematical Analysis. 51:222-226
In this paper we obtain sufficient conditions for the bi-harmonic differential operator A = ΔE2 + q to be separated in the space L2 (M) on a complete Riemannian manifold (M,g) with metric g, where ΔE is the magnetic Laplacian onM and q ≥ 0 is a l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bcb2c64fc337ca40845239489aeaa0a
https://doi.org/10.3103/s1068362316050022
https://doi.org/10.3103/s1068362316050022
Autor:
H. A. Atia
Publikováno v:
Carpathian Journal of Mathematics. 30:31-37
Our goal in this work is to study the separation problem for the Grushin differential operator formed by ... in the Banach space H1(R2), where the potential Q(x, y) ∈ L(1), is a bounded linear operator which transforms at 1 in value of (x, y).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73bb73a4b52a4acb66a2f6086ff04af2
https://doi.org/10.37193/cjm.2014.01.05
https://doi.org/10.37193/cjm.2014.01.05
Autor:
H. A. Atia, R.A. Mahmoud
Publikováno v:
Applicable Analysis. 91:2133-2143
In this work we have introduced a new proof of the separation of the Grushin differential operator of the form in the Hilbert space H = L 2(Ω), with potential q(x, y)∈C 1(Ω), by the disconjugacy property. We show that certain properties of positi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c31ac479dac0e1fafaf68aa6c1bf210
https://doi.org/10.1080/00036811.2011.593173
https://doi.org/10.1080/00036811.2011.593173
Autor:
H. A. Atia
Publikováno v:
Lobachevskii Journal of Mathematics. 32:180-188
In this paper we investigate the separation property of the Grushin differential operator of the form $$Gu = - \frac{1} {2}\left( {\frac{{\partial ^2 u}} {{\partial x^2 }} + \frac{{x^4 }} {4}\frac{{\partial ^2 u}} {{\partial y^2 }}} \right) + Q(x,y)u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e8c04d657787c8608b258b8ff70ed52
https://doi.org/10.1134/s1995080211030036
https://doi.org/10.1134/s1995080211030036
Publikováno v:
Journal of Mathematical Analysis and Applications. 336(1):81-92
In this paper we have studied the separation for the Laplace–Beltrami differential operator of the form Au =− 1 √ det g(x) ∂ ∂xi det g(x)g −1 (x) ∂u ∂xj + V (x)u(x), ∀x = (x1 ,x 2 ,...,x n) ∈ Ω ⊂ R n , in the Hilbert space H =
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a94dee799297f9f30fd13ecfcd05c4e6