• Journal of applied mathematics & informatics
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• v.3 no.2
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• pp.279-290
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• 1996

In the present paper we study the Cauchy problem in a Banach space E for an abstract nonlinear differential equation of form $$\frac{d^2u}{dt^2}=-A{\frac{du}{dt}}+B(t)u+f(t, W)$$ where W=($A_1$(t)u, A_2(t)u)..., A_{\nu}(t)u), A_{i}(t),\;i=1,2,...{\nu}$,(B(t), t{\in}I$=[0, b]) are families of closed operators defined on dense sets in E into E, f is a given abstract nonlinear function on $I{\times}E^{\nu}$ into E and -A is a closed linar operator defined on dense set in e into E which generates a semi-group. Further the existence and uniqueness of the solution of the considered Cauchy problem is studied for a wide class of the families ($A_{i}$(t), i =1.2...${\nu}$), (B(t), $t{\in}I$) An application and some properties are also given for the theory of partial diferential equations.

• Kyungpook Mathematical Journal
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• v.48 no.3
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• pp.359-366
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• 2008

Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

• Bulletin of the Korean Mathematical Society
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• v.60 no.1
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• pp.75-81
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• 2023

If a multiplicative function f is commutable with a quadratic form x² + xy + y², i.e., f(x² + xy + y²) = f(x)² + f(x) f(y) + f(y)², then f is the identity function. In other hand, if f is commutable with a quadratic form x² - xy + y², then f is one of three kinds of functions: the identity function, the constant function, and an indicator function for ℕ ＼ pℕ with a prime p.

• Food Science and Preservation
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• v.14 no.6
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• pp.571-577
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• 2007

Storage characteristics of fresh and thawed sliced raw fish (flounder and rockfish) washed in different solutions (tap water, A; jade water, B; 0.2% chitosan-ascorbate (CA), C; 0.03 ppm ozone water, D; 1.5% vinegar containing jade water, E; 1.5% vinegar and 0.2% CA containing jade water, F) at $10^{\circ}C$ were investigated. Changes in pH and acidity of thawed sliced raw fish (TS) during storage were lower than for fresh sliced raw fish (DS). The total microbial content (log cfu/g) of A stored for 3 days in DS was 6.7 (which represented an increase of 1 log cycle compared with day zero), but was 5.50 in B, 3.23 in C, 4.90 in D, 2.40 in E and 1.77 in F, the latter similar to counts at day zero. The degree of microbial contamination of DS and TS followed the order F > E > D > C > B > A in flounder, and F > E > C > D > B > A in rockfish. In general the hardness and chewiness of TS was less than for DS. While the effect of CA on TS texture was not significant in flounder, the effect showed in rockfish. For DS, the appearance in B, C and D was relatively good, as was freshness. Fishiness of flavor was in the order A > B > F > E > D > C. Overall acceptability of flounder and rockfish treated with C was better than treatment with the other washing agents. For TS the appearance of flounder and rockfish were good in B and C. The freshness of flounder and rockfish were in the order of D > C > B > A > E > F and D > C > B > A > E > F, respectively. Fishiness of the flavor of sliced raw fish was lowest in D, which also provided the best overall acceptability.

• East Asian mathematical journal
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• v.25 no.2
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• pp.179-196
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• 2009

Let E be a uniformly convex Banach space and K a nonempty closed convex subset which is also a nonexpansive retract of E. For i = 1, 2, 3, let $T_i:K{\rightarrow}E$ be an asymptotically nonexpansive mappings with sequence ${\{k_n^{(i)}\}\subset[1,{\infty})$ such that $\sum_{n-1}^{\infty}(k_n^{(i)}-1)$ < ${\infty},\;k_{n}^{(i)}{\rightarrow}1$, as $n{\rightarrow}\infty$ and F(T)=$\bigcap_{i=3}^3F(T_i){\neq}{\phi}$ (the set of all common xed points of $T_i$, i = 1, 2, 3). Let {$a_n$},{$b_n$} and {$c_n$} are three real sequences in [0, 1] such that $\in{\leq}\;a_n,\;b_n,\;c_n\;{\leq}\;1-\in$ for $n{\in}N$ and some ${\in}{\geq}0$. Starting with arbitrary $x_1{\in}K$, define sequence {$x_n$} by setting {$$x_{n+1}=P((1-a_n)x_n+a_nT_1(PT_1)^{n-1}y_n)$$ $$y_n=P((1-b_n)x_n+a_nT_2(PT_2)^{n-1}z_n)$$ $$z_n=P((1-c_n)x_n+c_nT_3(PT_3)^{n-1}x_n)$$. Assume that one of the following conditions holds: (1) E satises the Opial property, (2) E has Frechet dierentiable norm, (3) $E^*$ has Kedec -Klee property, where $E^*$ is dual of E. Then sequence {$x_n$} converges weakly to some p${\in}$F(T).

• Speech Sciences
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• v.10 no.3
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• pp.145-155
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• 2003

This study compared $F_{0}$ and the first three formants of eight Korean monophthongs produced by nine transgenders (male to female) to those of eighteen normal adults. Voice analysis was done by Praat (version 4.049). A one-way ANOVA with Tukey HSD post hoc tests were performed to determine statistical differences in $F_{0}$ and formant values obtained from transgenders, and normal male and female subjects. Results indicated that there was no significant difference in $F_{1}$ of /u/, /$\Lambda$/, and /o/, $F_{2}$ of /u/, /$\Lambda$/, and /i/ and $F_{3}$ of /u/ among the 3 groups (transgenders, normal males and normal females). However, in the comparison of transgenders vs. males, a significant difference was observed in $F_{0}$ of /o/, and $F_{2}$ of /i/, /a/, /e/, and /${\ae}$/ and $F_{3}$ of /e/. Furthermore, in the comparison of transgenders vs. females, a significant difference was also observed in $F_{0}$ of all vowels, $F_{1}$ of /i/, /$\alpha$/, /e/, /${\ae}$/, and /i/. $F_{2}$ of /i/, and /${\ae}$/, and $F_{3}$ of /i/, /$\alpha$/, /$\Lambda$/, /e/, /${\ae}$/, /i/, and /o/. Also, perceptual judgment of the transgenders' voice came out somewhat correlated strongly with their $F_{0}$ values but not much with the formant values. It was concluded that the transgenders' acoustic parameters are placed in between those of the normal males and females in. terms of fundamental and formant frequency analyses of vowels. Thus, it was assumed that those differences might stem from the transgenders' original big resonating cavities.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.14 no.5
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• pp.536-541
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• 2003

In order to avoid oxygen contamination on the diamond surface as far as possible during the device process, the A1/Ca $F_2$/diamond MISFET(metal-insulator-semiconductor field-effect transistor) was prepared by ultrahigh vacuum process and its electrical properties were investigated. The surface conductive layer of fluorinated diamond surface was employed for the conducting channel of the MISFET. The observed effective mobility(${\mu}$e$\_$ff/) of the MISFET was 300 c $m^2$/Vs, which is the highest value obtained until now in the diamond FET. Besides, the measured surface state density of the device was ∼10$\^$11//c $m^2$ eV, which is comparable with conventional Si MOSFET$\_$s/(metal-oxide-semiconductor field-effect-transistors). This work is the first report of the fluorinated diamond MISFET prepared by ultrahigh vacuum process and its application to inverter circuit.

• Animal cells and systems
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• v.5 no.1
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• pp.59-64
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• 2001

To understand the late gut development and differentiation, identification and characterization of target genes of homeotic genes involved in gut development are required. We have previously reported that homeodomain proteins can regulate expression of the cell proliferation-related genes. We investigated here the expression of the Drosophila proliferating cell nuclear antigen(PCNA) and E2F(dE2F) genes in larval and adult guts using transgenic flies bearing lacz reporter genes. Both PCNA and dE2F genes were expressed strongly in whole regions of the larval and adult guts including the esophagus, proventriculus, midgut and hindgut, showing higher expression in foregut and hindgut imaginal rings of larva. Nitric Oxide(NO) has been known to be involved in cell proliferation and tumor growth and also to have an antiproliferative activity. Therefore, we also investigated effects of NO on the expression of PCNA and dE2F genes in gut through analyses of lacz reporter expression level in the SNP (NO donor)-treated larval guts. Expressions of both PCNA and dE2F were greatly declined by SNP. The inhibitory effect of NO was shown in whole regions of the gut, especially in hindgut, while the internal region of proventriculus, esophagus, foregut imaginal ring and hindgut imaginal ring was resistant. Our results suggest that this inhibitory effect may be related with the antiproliferative activity of NO.

• Journal of the Korean Wood Science and Technology
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• v.36 no.2
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• pp.63-72
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• 2008

As a part of abating formaldehyde emission of urea-formaldehyde (UF) resin adhesive, this study was conducted to investigate chemical structures of UF resin adhesives with different formaldehyde/urea (F/U) mole ratios, using carbon-13 nuclear magnetic resonance ($^{13}C$-NMR) spectroscopy. UF resin adhesives were synthesized at four different F/U mole ratios such as 1.6, 1.4, 1.2, and 1.0 for the analysis. The analysis $^{13}C$-NMR spectroscopy showed that UF resin adhesives with higher F/U mole ratios (i.e., 1.6 and 1.4) had two distinctive peaks, indicating the presence of dimethylene ether linkages and methylene glycols, a dissolved form of free formaldehyde. But, these peaks were not detected at the UF resins with lower F/U mole ratios (i.e., 1.2 and 1.0). These chemical structures present at the UF resins with higher F/U mole ratios indicated that UF resin adhesive with higher F/U mole ratio had a greater contribution to the formaldehyde emission than that of lower F/U mole ratio. Uronic species were detected for all UF resins regardless of F/U mole ratios.

• 전기의세계
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• v.15 no.2
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• pp.1-7
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• 1966

It is well known that the speed of induction motor can be controlled in wide range by changing the second exciting e.m.f. of rotor circuit, but that is well not practised because of its complicated system. In order to simplify such a system, the Kramer system of which silicon rectifier substitutes for synchronous converter has analyzed in this paper. The result of this investigation show that in this system, only the equivlent synchronous speed it changed by second exciting e.m.f., but the mechanical output power, torque and power factor is not changed, and that this system is able to compensate the regulated speed on account of the load changed.