DSpace Collection:
http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/88
2026-05-18T12:01:05ZProblè me gé né ral aux limites de Riemann avec dé placement et probl\è me de Hilbert pour l'e'xté rieur domain de l'unitaire circle
http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/446
Title: Problè me gé né ral aux limites de Riemann avec dé placement et probl\è me de Hilbert pour l'e'xté rieur domain de l'unitaire circle
Authors: Vu, Van Khuong
Abstract: Dans le livre ”probl`eme aux limites” de prof. Ph. D. Gakhov (voir [1]), on a
r´esolu les trois probl`emes suivants:
+ Probl`eme aux limites de Riemann
Φ+(t) =
μ
k=1(t − αk)mk
ν
j=1(t − βj)pj
G1(t)Φ−(t), (1)
o`u αk (k = 1, μ), βj (j = 1, ν) sont des quelconques points sur la fronti`ere L; mk, pj
des entiers positifs. G1(t) est la fonction diff´erente de z´ero pour tout t ∈ L, satisfaisante
`a condition de Holder.
+ Probl`eme g´en´eral aux limites de Riemann avec d´eplacement
Φ+[α(t)] = G(t)Φ−(t). (2)
+ Probl`eme de Hilbert pour la circonf´erence int´erieure D+ de l’unitaire circle.
Dans cet article nous consid´erons les trois probl`emes g´en´eralis´es (en correspondance) suivants.
+ Probl`eme de Riemann satisfaisant `a l’´equation (1) et aux conditions de Cauchy
dkΦ(zh)
dzk = ahk
, k = 1,mh − 1, h = 1, n.
+ Probl`eme g´en´eral aux limites de Riemann avec d´eplacement
Φ+[α(t)] =
μ
k=1(t − αk)mk
ν
j=1(t − βj)pj
G(t)Φ−(t).
+ Probl`eme de Hilbert pour la circonf´erence ´ext´erieure D− de l’unitaire circle.
Description: VNU. JOURNAL OF SCIENCE, Mathematics - Physics. Vol. 21, No. 1 - 20052005-01-01T00:00:00ZNon-linear analysis of multilayered reinforced composite plates
http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/444
Title: Non-linear analysis of multilayered reinforced composite plates
Authors: Khuc, Van Phu; Pham, Tien Dat
Abstract: This paper deals with the analysis of non-linaer multilayered reinforced composite
plates with simply supported along its four edges by Bubnov - Galerkin and Finite
Element Methods. Numerical results are presented for illustrating theoretical analysis of
reinforced and unreinforced laminated composite plates.
Description: VNU. JOURNAL OF SCIENCE, Mathematics - Physics. Vol. 21, No. 1 - 20052005-01-01T00:00:00ZThe magnetic properties and charge-ordering state in La1-xCaxMnO3 (x = 0.46; 0.50) compounds
http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/441
Title: The magnetic properties and charge-ordering state in La1-xCaxMnO3 (x = 0.46; 0.50) compounds
Authors: Nguyen, Huy Sinh; Vu, Thanh Mai; Nguyen, Anh Tuan; Pham, Hong Quang; Nguyen, Tuan Son
Abstract: The compounds of La1-xCaxMnO3-δ with x=0.46 and 0.50 occupy special
positions in the phase diagram of La1-xCaxMnO3-δ system due to their interesting
properties and charge-ordering phase transition. The samples were prepared by a
solid-state reaction method. The XPD patterns show that the samples are of a
single-phase orthorhombic-perovskite structure. The chemical compositions of the
samples are investigated by EDS. The concentrations of oxygen and Mn3+; Mn4+ ions
have been determined by dichromate method. The charge-ordering state have been
found below 150 K by magnetic and resistance measurements. This phenomenon
relates to metal-insulator transition. The results are discussed in competition
between double exchange (DE) and super-exchange (SE) interaction
Description: VNU. JOURNAL OF SCIENCE, Mathematics - Physics. Vol 21, No. 1, 20052005-01-01T00:00:00ZLocal dimension of fractal measure associated with the $(0, 1, a)$ - problem: the case $a = 6$
http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/437
Title: Local dimension of fractal measure associated with the $(0, 1, a)$ - problem: the case $a = 6$
Authors: Le, Xuan Son; Pham, Quang Trinh; Vu, Hong Thanh
Abstract: Let X1,X2, ... be a sequence of independent, identically distributed(i.i.d)
random variables each taking values 0, 1, a with equal probability 1/3. Let μ be the
probability measure induced by S =
∞n
=1 3−nXn. Let α(s) (resp.α(s), α(s)) denote
the local dimension (resp. lower, upper local dimension) of s ∈ supp μ, and let
α = sup{α(s) : s ∈ supp μ}; α = inf{α(s) : s ∈ supp μ}
E = {α : α(s) = α for some s ∈ supp μ}.
In the case a = 3, E = [2/3, 1], see [6]. It was hoped that this result holds true with
a = 3k, for any k ∈ N. We prove that it is not the case. In fact, our result shows
that for k = 2(a = 6), α = 1, α = 1 − log(1+√5)−log 2
2 log 3 ≈ 0.78099 and E = [1 −
log(1+√5)−log 2
2 log 3 , 1].Let X1,X2, ... be a sequence of independent, identically distributed(i.i.d)
random variables each taking values 0, 1, a with equal probability 1/3. Let μ be the
probability measure induced by S =
∞n
=1 3−nXn. Let α(s) (resp.α(s), α(s)) denote
the local dimension (resp. lower, upper local dimension) of s ∈ supp μ, and let
α = sup{α(s) : s ∈ supp μ}; α = inf{α(s) : s ∈ supp μ}
E = {α : α(s) = α for some s ∈ supp μ}.
In the case a = 3, E = [2/3, 1], see [6]. It was hoped that this result holds true with
a = 3k, for any k ∈ N. We prove that it is not the case. In fact, our result shows
that for k = 2(a = 6), α = 1, α = 1 − log(1+√5)−log 2
2 log 3 ≈ 0.78099 and E = [1 −
log(1+√5)−log 2
2 log 3 , 1].
Description: VNU. JOURNAL OF SCIENCE, Mathematics - Physics. Vol.21 , No 1 - 20052005-01-01T00:00:00Z