• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.205-215
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• 2009

Sufficient conditions for the existence of at least one solution of the boundary value problems for higher order nonlinear difference equations $\{{{{{\Delta^n}x(i-1)=f(i,x(i),{\Delta}x(i),{\cdots},\Delta^{n-2}x(i)),i{\in}[1,T+1],\atop%20{\Delta^m}x(0)=0,m{\in}[0,n-3],}\atop%20\Delta^{n-2}x(0)=\phi(\Delta^{n-1}(0)),}\atop%20\Delta^{n-1}x(T+1)=-\psi(\Delta^{n-2}x(T+1))}\$. are established.

• 전기전자학회논문지
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• 제17권3호
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• pp.234-240
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• 2013

본 논문에서는 단일-극 커패시터 방식의 터치센서를 위한 incremental 델타-시그마 아날로그-디지털 변환기를 설계하였다. 델타-시그마 모듈레이터의 구조는 단일비트 2차 cascade of integrators with distributed feedback(CIFB)를 사용하였으며 $0.18-{\mu}m$ CMOS 공정을 이용하여 제작하였다. Incremental 델타-시그마 아날로그-디지털 변환기의 입력으로 이어지는 센서가 넓은 입력 범위를 얻고 높은 정확성을 가지도록 변환기 앞에 shielding 신호와 디지털적으로 조절 가능한 오프-셋 커패시터를 위치시켰다. 본회로의 공급전압은 2.6 V에서 3.7 V이며 ${\pm}10-pF$의 입력범위를 가지고 fF 이하의 해상도를 필요로 하는 단일-극 커패시터 방식의 터치센서에 적합하다.

• 대한화학회지
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• 제43권2호
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• pp.141-149
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• 1999

Fe(II) 및 Ni(II) 이온에 $NH_3$ 리간드를 배위시켜 분자역학(MM2)법으로 최소에너지를 갖는 구조를 구한 후 확장분자궤도함수(EHMO)법 및 ZINDO/1법으로 양자화학적 양을 얻어 실험적 사실과 비교 검토하였다. 즉, 팔면체인 $[M(H_2O)_{6-x}(NH_3)_x]^{2+}(M=Fe(II),\;Ni(II)(x=0,\;1,\;…,\;6)에서 $NH_3$ 분자가 $H_2O$ 분자와 단계적으로 치환될 때에 따른 실측리간드화열이 MO 이론으로 계산한 팔면체형인 Fe(II)및 Ni(II)착물의 양자화학적 양인 중심금속의 알짜전하, 형성엔탈피, 총결합에너지로부터 실측 리간드화열$({\Delta}H_{obs})$을 이론적으로 예측할 수 있는 ${\Delta}H_{obs}=-0.2858_{qFe}+0.8813(r=0.97),\;{\Delta}H_{obs}=-0.8981_{qNi}+1.7929(r=0.95),\;{\Delta}H_{obs}=-0.0031H_{f(Fe)}+0.5725(r=0.97),\;{\Delta}H_{obs}=-0.0095H_{f(Ni)}+0.9193(r=0.97),\;{\Delta}H_{obs}=0.0476E_{diss(Fe)}+0.6434(r=0.94),\;{\Delta}H_{obs}=0.1401E_{diss(Ni)}+1.1393(r=0.93)$인 이론식을 각각 얻었다.

• 한국막학회:학술대회논문집
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• 한국막학회 2004년도 Proceedings of the second conference of aseanian membrane society
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• pp.94-97
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• 2004

Micro/nano-sized L $a_{0.6}$S $r_{0.4}$Co $O_{3-}$$\delta$/ particles are considered to improve oxygen permeability in highly selective inorganic oxygen separation membrane. A L $a_{0.7}$S $r_{0.3}$G $a_{0.6}$F $e_{0.4}$ $O_{3-}$$\delta$/ membrane with perovskite structure is fabricated by a conventional solid-state reaction. As the oxygen permeation flux of the L $a_{0.7}$S $r_{0.3}$G $a_{0.6}$F $e_{0.4}$ $O_{3-}$$\delta$/ membrane was lower than commercial gas separation membranes, we coated the L $a_{0.6}$S $r_{0.4}$Co $O_{3-}$$\delta$/ particles to enhance the oxygen permeation flux. It has been demonstrated that the effective area of reactive free surface is an important factor in determining the effectiveness of the introduction of coating layer for oxygen permeation. The introduction of micro/nano L $a_{0.6}$S $r_{0.4}$Co $O_{3-}$$\delta$/ particles was very effective for increasing oxygen flux, as the flux was as much as 2 to 6 times higher than that of an uncoated L $a_{0.7}$S $r_{0.3}$G $a_{0.6}$F $e_{0.4}$ $O_{3-}$$\delta$/ membrane.\delta$/ membrane.>/ membrane.brane.

• 충청수학회지
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• 제27권1호
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• pp.113-121
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• 2014

In this paper, we define an extension $f^*:[a,\;b]{\rightarrow}\mathbb{R}$ of a function $f:[a,\;b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and show that f is McShane delta integrable on $[a,\;b]_{\mathbb{T}}$ if and only if $f^*$ is McShane integrable on [a, b].

• 대한수학회보
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• 제55권6호
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• pp.1869-1889
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• 2018

We are concerned with the following fractional p-Laplacian inclusion: $$(-{\Delta})^s_pu+V(x){\mid}u{\mid}^{p-2}u{\in}{\lambda}[{\underline{f}}(x,u(x)),\;{\bar{f}}(s,u(x))]$$ in ${\mathbb{R}}^N$, where $(-{\Delta})^s_p$ is the fractional p-Laplacian operator, 0 < s < 1 < p < $+{\infty}$, sp < N, and $f:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ is measurable with respect to each variable separately. We show that our problem with the discontinuous nonlinearity f admits at least one or two nontrivial weak solutions. In order to do this, the main tool is the Berkovits-Tienari degree theory for weakly upper semicontinuous set-valued operators. In addition, our main assertions continue to hold when $(-{\Delta})^s_pu$ is replaced by any non-local integro-differential operator.

• 대한수학회보
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• 제20권1호
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• pp.31-36
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• 1983

Let R be a commutative ring with 1, and A a unitary commutative R-algebra. By a derivation module of A, we mean a pair (M, d), where M is an A-module and d: A.rarw.M and R-derivation, i.e., d is an R-linear mapping such that d(ab)=a)db)+b(da). A derivation module homomorphism f:(M,d).rarw.(N, .delta.) is an A-homomorphism f:M.rarw.N such that f.d=.delta.. A derivation module of A, (U, d), there exists a unique derivation module homomorphism f:(U, d).rarw.(M,.delta.). In fact, a universal derivation module of A exists in the category of derivation modules of A, and is unique up to unique derivation module isomorphisms [2, pp. 101]. When (U,d) is a universal derivation module of R-algebra A, the A-module U is denoted by U(A/R). For out convenience, U(A/R) will also be called a universal derivation module of A, and d the R-derivation corresponding to U(A/R).

• 대한수학회보
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• 제50권4호
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• pp.1061-1067
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• 2013

In this paper, we study surfaces of revolution without parabolic points in 3-Euclidean space $\mathbb{R}^3$, satisfying the condition ${\Delta}^{II}G=f(G+C)$, where ${\Delta}^{II}$ is the Laplace operator with respect to the second fundamental form, $f$ is a smooth function on the surface and C is a constant vector. Our main results state that surfaces of revolution without parabolic points in $\mathbb{R}^3$ which satisfy the condition ${\Delta}^{II}G=fG$, coincide with surfaces of revolution with non-zero constant Gaussian curvature.

• 대한수학회보
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• 제50권3호
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• pp.731-745
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• 2013

In this paper, we investigate uniqueness problems of certain types of $q$-difference polynomials, which improve some results in [20]. However, our proof is different from that in [20]. Moreover, we obtain a uniqueness result in the case where $q$-differences of two entire functions share values as well. This research also shows that there exist two sets, such that for a zero-order non-constant meromorphic function $f$ and a non-zero complex constant $q$, $E(S_j,f)=E(S_j,{\Delta}_qf)$ for $j=1,2$ imply $f(z)=t{\Delta}_qf$, where $t^n=1$. This gives a partial answer to a question of Gross concerning a zero order meromorphic function $f(z)$ and $t{\Delta}_qf$.

• 충청수학회지
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• 제26권3호
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• pp.625-630
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• 2013

In this paper, we define an extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of a function $f^*:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and show that $f$ is Henstock delta integrable on $[a,b]_{\mathbb{T}}$ if and only if $f^*$ is Henstock integrable on $[a, b]$.