• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제21권3호
• /
• pp.147-163
• /
• 2014

In this paper, we study the existence of positive solutions for singular impulsive differential equations with integral boundary conditions $$\{u^{{\prime}{\prime}}(t)+q(t)f(t,u(t),u^{\prime}(t))=0,\;t{\in}\mathbb{J}^{\prime},\\{\Delta}u(t_k)=I_k(u(t_k),u^{\prime}(t_k)),\;k=1,2,{\cdots},p,\\{\Delta}u^{\prime}(t_k)=-L_k(u(t_k),u^{\prime}(t_k)),\;k=1,2,{\cdots},p,\\u=(0)={\int}_{0}^{1}g(t)u(t)dt,\;u^{\prime}=0,$$) where the nonlinearity f(t, u, v) may be singular at v = 0. The proof is based on the theory of Leray-Schauder degree, together with a truncation technique. Some recent results in the literature are generalized and improved.

• Nuclear Engineering and Technology
• /
• 제31권5호
• /
• pp.455-464
• /
• 1999

The effect of TiO$_2$ on the sintering behavior of mixed UO$_2$-U$_3$O$_{8}$ Powder compacts has been investigated using the U$_{3}$O$_{8}$ powder made tv oxidation of defective UO$_{2}$ pellets. Without TiO$_2$, UO$_2$ pellet density is inversely proportional to U$_3$O$_{8}$ content and is below 94 %TD in the U$_3$O$_{8}$ range above 15 wt%. Using more than 0.1 wt % TiO$_2$, however, the density decreases slightly with U$_3$O$_{8}$ content and thus is higher than about 94% TD in the whole range of U$_3$O$_{8}$ content. The grain sizes of UO$_2$ pellets with more than 0.1 wt % TiO$_2$are larger than about 30${\mu}{\textrm}{m}$. Therefore, the U$_3$O$_{8}$ Powder can be reused without any restriction on its amount in UO$_2$ pellet fabrication by sintering the mixed UO$_2$-U$_3$O$_{8}$ compact with the aid of TiO$_2$. Mechanisms for densification and grain growth are proposed and discussed, based on a dilatometry study and an examination of microstructure. microstructure.

• 대한수학회지
• /
• 제51권4호
• /
• pp.853-866
• /
• 2014

Constacyclic codes of length $p^s$ over $R=\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+u^2\mathbb{F}_{p^m}$ are precisely the ideals of the ring $\frac{R[x]}{<x^{p^s}-1>}$. In this paper, we investigate constacyclic codes of length $p^s$ over R. The units of the ring R are of the forms ${\gamma}$, ${\alpha}+u{\beta}$, ${\alpha}+u{\beta}+u^2{\gamma}$ and ${\alpha}+u^2{\gamma}$, where ${\alpha}$, ${\beta}$ and ${\gamma}$ are nonzero elements of $\mathbb{F}_{p^m}$. We obtain the structures and Hamming distances of all (${\alpha}+u{\beta}$)-constacyclic codes and (${\alpha}+u{\beta}+u^2{\gamma}$)-constacyclic codes of length $p^s$ over R. Furthermore, we classify all cyclic codes of length $p^s$ over R, and by using the ring isomorphism we characterize ${\gamma}$-constacyclic codes of length $p^s$ over R.

• 대한치과교정학회지
• /
• 제54권2호
• /
• pp.117-127
• /
• 2024

Objective: To evaluate the effect of clear aligner treatment and differential sequence distalization of maxillary posterior teeth on anchorage loss in the upper incisors (U1s). Methods: This study used lateral cephalometries and digital models of 12 patients treated with 33% sequential distalization (group 1, mean age: 22.9 ± 0.7 years, five males, seven females) and 12 treated with 50% sequential distalization (group 2, mean age: 25.83 ± 0.5 years, three males, nine females) acquired before and after distalization of upper second premolars (U5) and upper first molars (U6) and upper second molars (U7). The amount of distalization was determined as 2.5 mm in both the groups. Independent Samples t test was used to compare normally distributed parameters. Mann-Whitney U and Wilcoxon tests were used to compare parameters that were not normally distributed. Results: In both groups, the posterior teeth significantly moved by tipping distally and the U1s were displaced anteriorly. Increase in maxillary posterior transverse width (P < 0.001) and distopalatal rotation were observed in U5, U6, and U7 after distalization. It was also observed that U1 was significantly more proclined (1.82°; P < 0.001) and protruded (0.62 mm; P < 0.001), and the overjet (0.45 mm; P < 0.001) increased more in group 1 than in group 2. Conclusions: After sequential distalization of maxillary posterior teeth, more anchorage loss was observed in the anterior region in group 1 than in group 2.

• 방사성폐기물학회지
• /
• 제9권3호
• /
• pp.131-139
• /
• 2011

연구는 $Na_2CO_3-H_2O_2$ 탄산염 용액의 숙성시간에 따른 안정성을 U의 산화 용해액, Cs/Re의 선택적 침전 여과액 및 U의 산성화 침전 여과액으로 구분하여 검토하였다. 숙성시간에 따른 산화 용해액 내 조성 변화는 거의 없었으며, Cs/Re의 선택적 침전에도 아무 영향이 없이 산화 용해액으로부터 순차적으로 Re과 Cs의 침전제거가 가능하였다. 그러나 U의 산성화 침전에서는 산화 용해액이나 Cs/Re의 선택적 침전 여과액을 장시간 동안 숙성시킬 경우 U이 uranyl peroxocarbonato complex에서 uranyltricarbonate로 일부 전환되어 U의 침전회수를 감소시켰다. 그러므로 99% 이상의 U을 회수하기 위해서는 산화 용해액 및 Cs/Re의 선택적 침전 여과액의 숙성시간을 각각 7일 이내에서 처리하는 것이 효과적이다. 그리고 SF 의 산화/용해${\rightarrow}$Cs과 Re(/Tc)의 선택적 침전${\rightarrow}$ U의 산성화 침전 등을 순차적으로 수행하여, 산화/용해에서는 대부분의 U과 FP 중 일부가 함께 용해 되었으며, 함께 용해된 FP 중 Re과 Cs은 각각 TPPCl 및 NaTPB로 99% 이상을 침전제거할 수 있었다. 그리고 산성화 (pH 4) 침전에서는 U을 거의 100% 침전회수 하여 $Na_2CO_3-H_2O_2$ 탄산염 용액에서 침전법으로 SF로부터 U 만의 회수 타당성을 확인하였다.

• 충청수학회지
• /
• 제20권4호
• /
• pp.551-560
• /
• 2007

We prove the existence of solutions for the system of the nonlinear biharmonic equations with Dirichlet boundary condition $$\{^{-{\Delta}^2u-c{\Delta}u+{\gamma}(bu^+-av^-)=s{\phi}_1\;in\;{\Omega},\;}_{-{\Delta}^2u-c{\Delta}u+{\delta}(bu^+-av^-)=s{\phi}_1\;in\;{\Omega}}$$, where $u^+$ = max{u, 0}, ${\Delta}^2$ denotes the biharmonic operator and ${\phi}_1$ is the positive eigenfunction of the eigenvalue problem $-{\Delta}$ with Dirichlet boundary condition.

• Korean Journal of Mathematics
• /
• 제23권1호
• /
• pp.153-161
• /
• 2015

In this work, we consider an elliptic system $$\left{\array {-{\Delta}u=au+bv+{\delta}_1u+-{\delta}_2u^-+f_1(x,u,v) && in\;{\Omega},\\-{\Delta}v=bu+cv+{\eta}_1v^+-{\eta}_2v^-+f_2(x,u,v) && in\;{\Omega},\\{\hfill{70}}u=v=0{\hfill{90}}on\;{\partial}{\Omega},}$$, where ${\Omega}{\subset}R^N$ be a bounded domain with smooth boundary. We prove that the system has at least two nontrivial solutions by applying linking theorem.

• Journal of applied mathematics & informatics
• /
• 제23권1_2호
• /
• pp.571-579
• /
• 2007

Finite difference schemes are considered for a generalization of the Cahn-Hilliard equation with Neumann boundary conditions and the Kuramoto-Sivashinsky equation with a periodic boundary condition, which is of the type $ut+\frac{{\partial}^2} {{\partial}x^2}\;g\;(u,\;u_x,\;u_{xx})=f(u,\;u_x,\;u_{xx})$. Stability and $L^{\infty}$ error estimates of approximate solutions for the corresponding schemes are obtained using the extended Lax-Richtmyer equivalence theorem.

• 한국재료학회지
• /
• 제5권7호
• /
• pp.880-887
• /
• 1995

융체방사법으로 제작한 YB $a_2$C $u_3$A $g_{15}$과 YbB $a_2$C $u_3$A $g_{x}$(x=5, 16 and 53) 예비 합금 리본(precursor alloy ribbon)을 263~322$^{\circ}C$에서 산화시키고, 산소 1기압 온도 872~89$0^{\circ}C$에서 열처리하였다. 또한 약 10개의 리본을 층으로 쌓아 프레스로 압축.접착시켜 다층 시편(multilayered specimen)을 제작하였다. 이 다충 시편도 위의 리본과 같은 조건에서 열처리하였다. YB $a_2$C $u_3$ $O_{7-{\delta}}$ 혹은 YbB $a_2$C $u_3$ $O_{7-{\delta}}$상이 모든 리본과 모든 다층 시편에서 형성되었다. 이 1-2-3상들은 모든 리본에서 집합조직(texture)을 나타내지 않았으나, 다층 시편들에서는 약간의 집합조직을 나타내었다. 모든 리본은 0 자장 77K에서 임계 전류 밀도 $J_{c}$가 0을 나타내었다. 다층 시편 중에서 YB $a_2$C $u_3$A $g_{15}$과 YbB $a_2$C $u_3$A $g_{16}$시편이 각각 260, 180A/$\textrm{cm}^2$의 임계 전류 밀도를 나타내었다. 여러 리본들 중에서 YB $a_2$C $u_3$A $g_{15}$ 과 YbB $a_2$C $u_3$A $g_{16}$ 리본이, 프레스 변형으로 집합조직을 가지게 함으로써 향상된 $J_{c}$를 가진 초전도 산화물을 만들 수 있는 적절한 조성을 가지고 있다. 다층 YB $a_2$C $u_3$A $g_{15}$ 시편의 개시 임계 온도 ( $T_{on}$ )는 92K 이었으며, 다층 YbB $a_2$C $u_3$A $g_{x}$(x=5, 16 and 53)의 $T_{on}$ 은 88~90K이었다.

• ALGAE
• /
• 제22권3호
• /
• pp.221-228
• /
• 2007

Frequent occurrences of green tides caused by Ulva species (Ulvales, Ulvophyceae) associated with eutrophication along enclosed coasts are currently causing environmental problems in coastal ecosystems. In addition, increasing intercontinental introductions of coastal marine organisms, including Ulva, are also a serious issue. However, due to the considerable morphological plasticity of this genus, the taxonomy of Ulva species based on morphological studies is problematic. Therefore, in order to elucidate the species diversity and seasonal changes of the dominant Ulva species in Mikawa Bay, central Honshu, Japan, we made seasonal collections of Ulva species at seven localities, and identified the dominant species using the ITS2 rDNA region sequences. We identified the following nine taxa as common Ulva species in the area: 1) Ulva pertusa Kjellman; 2) U. ohnoi Hiraoka et Shimada; 3) U. linza L.; 4) U. californica Wille; 5) U. flexuosa Wulfen; 6) U. fasciata Delile; 7) U. compressa L.; 8) U. armoricana Dion et al.; 9) U. scandinavica Bliding. Among the species, U. pertusa was most common and dominant from spring to summer, and U. ohnoi from autumn to winter. Ulva californica and U. scandinavica have not been reported before from Japan.