• Title, Summary, Keyword: functional property

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ASYMPTOTIC PROPERTY FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS

  • Im, Dong Man;Goo, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.1
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    • pp.1-11
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    • 2016
  • This paper shows that the solutions to nonlinear perturbed functional differential system $$y^{\prime}=f(t,y)+{\int}^t_{t_0}g(s,y(s),Ty(s))ds+h(t,y(t))$$ have the asymptotic property by imposing conditions on the perturbed part ${\int}^t_{t_0}g(s,y(s),Ty(s))ds,h(t,y(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).

BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS

  • Im, Dong Man;Goo, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.4
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    • pp.499-511
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    • 2015
  • This paper shows that the solutions to the perturbed dierential system $$y^{\prime}=f(t,y)+{\int}_{t_o}^{t}g(s,y(s))ds+h(t,y(t),Ty(t))$$ have bounded property. To show this property, we impose conditions on the perturbed part ${\int}^{t}_{t_o}g(s,y(s))ds+h(t,y(t),Ty(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).

UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC PROPERTY OF PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS

  • Im, Dong Man;Goo, Yoon Hoe
    • Korean Journal of Mathematics
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    • v.24 no.1
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    • pp.1-13
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    • 2016
  • This paper shows that the solutions to the perturbed functional dierential system $$y^{\prime}=f(t,y)+{\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$$ have uniformly Lipschitz stability and asymptotic property. To sRhow these properties, we impose conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$ and the fundamental matrix of the unperturbed system $y^{\prime}=f(t,y)$.

Evaluation of Antibacterial Property and Freshness Maintenance of Functional Hybrid Corrugated Board Used for Agricultural Products (농산물용 복합 골판지의 항균성 및 선도유지기능 평가)

  • Lee, Ji-Young;Kim, Chul-Hwan;Choi, Jae-Sung;Oh, Seok-Ju;Kim, Byeong-Ho;Lim, Gi-Baek;Kim, Sun-Young;Kim, Jun-Sik
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.45 no.3
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    • pp.45-51
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    • 2013
  • We developed a new antibacterial material, a non-woven fabric, a sulfur solution, and a new adhesive system to manufacture a new type of functional hybrid corrugated board in previous studies. Based on experimental data, the prototypes of functional hybrid corrugated boards were manufactured and their physical properties and functionalities, including antibacterial property and the freshness maintenance of sweet persimmon, were measured in this study. The functional hybrid corrugated board could be manufactured in the actual process with linerboards, non-woven fabrics, and other materials without any troubles, and was strong enough to be used as a packaging box for agricultural products. The antibacterial property of the hybrid corrugated board showed a value high enough to eliminate bacteria, which could deteriorate the sweet persimmons. Based on appearance observations, weight loss and firmness measurements, the freshness of sweet persimmons in the functional hybrid corrugated board was maintained better than it was in the conventional corrugated board.

Antioxidant Properties of Commercial Noodles Supplemented with Functional Ingredients (기능성 부재료를 첨가한 시판 국수류의 항산화 특성)

  • Son, Jong-Youn;Kang, Kun-Og
    • Journal of the East Asian Society of Dietary Life
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    • v.24 no.2
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    • pp.183-189
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    • 2014
  • We investigated noodles supplemented with functional ingredients for their antioxidant properties, including total phenol, flavonoid contents, electron donating, nitrite scavenging abilities and ferrous ion chelating effect. The total polyphenol contents of functional noodles arranged in order of decreasing concentration were kudzu (7.98%) > green tea (4.99%) > pumpkin (5.03%) > mulberry leaves (4.99%) > mugwort (4.23%) > cactus (3.57%) > kelp (3.33). The total flavonoid contents in green tea noodles were the highest as 4.35%. The electron donating ability in mugwort noodle was the highest as 12.27% at 1,000 ppm. This amount was 4.85 times than that of wheat flour noodle (2.53%). The nitrite scavenging ability of functional noodles at pH 1.2 arranged in order of decreasing concentration were green tea (66.52%) > cactus (55.12%) > kudzu (52.67%) > pumpkin (50.50%) > mulberry leaves (43.58%) > kelp (41.41%) > mugwort (37.66). The nitrite-scavenging ability of green tea noodle was lower than ascorbic acid (natural antioxidant) 77.83%, while that of green tea noodle was similar with BHT (artificial antioxidant) 69.45%. The ferrous ion chelating effect of noodles containing kelp were the highest as 27.02%. All of the experimental results showed good antioxidant property. Thus, noodles supplemented with mulberry leaves, cactus, mugwort, green tea, pumpkin, kelp or kudzu, demonstrated to have good functional effects for human health.

Analysis of Domestic Patent Trends Related to Functional Clothing Products for Daily Wearable Human Body Protection and Correction (일상 착용형 인체 보호 및 교정 기능성 의류제품 관련 국내 특허 동향 분석)

  • Lee, Ah Lam;Han, Hyunjung
    • Journal of the Korean Society of Clothing and Textiles
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    • v.44 no.4
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    • pp.764-775
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    • 2020
  • Lifespans are increasing and many consumers are interested in health issues in these busy modern days, developing functional clothing that can be worn everyday is one of the competitive solutions in the oversaturated clothing market. When developing a new item with a fresh idea, it is important to look into prior art beforehand to avoid unnecessary intellectual property right-related disputes. This study investigates Korean domestic patents and utility models about functional clothing in terms of human body performance and health promotion in order to suggest essential data to relevant developers. We selected 324 patents and utility models and made an analysis according to the year, functions, applied technologies, frequency of claims, target wearers and item types. We found problems in current functional clothing patent application trends and suggested new aspects when developing innovative functional clothing items. Data was limited to Korean domestic patents; however, this study is still meaningful giving references to technology roadmaps and encouraging new intellectual property development.

Improvement on the Functional Properties of Gelatin Prepared from the Yellowfin Sole Skin by Precipitation with Ethanol (알코올처리에 의한 각시가자미껍질 젤라틴의 기능성 개선)

  • Kim, Jin-Soo;Lee, Eung-Ho
    • Korean Journal of Food Science and Technology
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    • v.26 no.6
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    • pp.683-689
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    • 1994
  • With a view to utilizing effectively fish skin wastes from marine manufactory, a gelatin solution extracted from yellowfin sole skin was fractionated by precipitation with ethanol, and then the functional and physico-chemical properties for the fractionated gelatin were determined. Ethanol was added up to 50% of ethanol content to a gelatin solution extracted from yellowfin sole skin, then the mixture was left to stand at $0^{\circ}C$ for 12 hours. Finally, the precipitates were dried by hot-air ($40^{\circ}C$). The gel strength and melting point of a 10% gel of gelatin prepared from yellowfin sole skin by precipitation with ethanol has 322.4g and $23.3^{\circ}C$, respectively. The physico-chemical properties of the ethanol treated fish skin gelatin were superior to those of fish skin gelatin prepared without ethanol treatment. Besides, the functional properties of the ethanol treated gelatin were lower in solubility and higher in water holding capacity, oil binding capacity, emulsifying activity, emulsifying stability, foam expansion and foam stability than those of pork skin gelatin sold on market as well as gelatin prepared without ethanol treatment. It may be concluded, from these results, that the fish skin gelatin prepared by precipitation with ethanol can be effectively utilized as a human food by improving the functional properties.

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Almost derivations on the banach algebra $C^n$[0,1]

  • Jun, Kil-Woung;Park, Dal-Won
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.359-366
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    • 1996
  • A linear map T from a Banach algebra A into a Banach algebra B is almost multiplicative if $\left\$\mid$ T(fg) - T(f)T(g) \right\$\mid$ \leq \in\left\$\mid$ f \right\$\mid$\left\$\mid$ g \right\$\mid$(f,g \in A)$ for some small positive $\in$. B.E.Johnson [4,5] studied whether this implies that T is near a multiplicative map in the norm of operators from A into B. K. Jarosz [2,3] raised the conjecture : If T is an almost multiplicative functional on uniform algebra A, there is a linear and multiplicative functional F on A such that $\left\$\mid$ T - F \right\$\mid$ \leq \in', where \in' \to 0$ as $\in \to 0$. B. E. Johnson [4] gave an example of non-uniform commutative Banach algebra which does not have the property described in the above conjecture. He proved also that C(K) algebras and the disc algebra A(D) have this property [5]. We extend this property to a derivation on a Banach algebra.

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Acoustically-enhanced particle dispersion in polystyrene/alumina nanocomposites

  • Philip, Mercy A.;Natarajan, Upendra;Nagarajan, Ramamurthy
    • Advances in nano research
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    • v.2 no.2
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    • pp.121-133
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    • 2014
  • Polymer nanocomposites are advanced nanomaterials which exhibit dramatic improvements in various mechanical, thermal and barrier properties as compared with the neat polymer. Polystyrene/ alumina nanocomposites were prepared by an ultrasound-assisted solution casting method at filler loadings ranging from 0.2 to 2% and also at different ultrasonic frequencies, viz. 58 kHz, 192/58 kHz, 430 kHz, 470 kHz and 1 MHz. The composites were subjected to mechanical property tests (tensile and impact tests) and cavitation erosion tests to study the enhancement in functional properties. Filler dispersion in the polymer matrix was observed by SEM analysis. The effect of frequency on filler dispersion in the matrix was studied by SEM analysis and functional property enhancement of the composite material. The composites prepared at dual (high/ low) frequency (192/58 kHz) were found to show better property enhancement at low filler loadings as compared with neat polymer and also with composites prepared without ultrasound, thus reinforcing the finding that ultrasound-assisted synthesis is a promising method for the synthesis of nanocomposites.

SEVERAL STABILITY PROBLEMS OF A QUADRATIC FUNCTIONAL EQUATION

  • Cho, In-Goo;Koh, Hee-Jeong
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.99-113
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    • 2011
  • In this paper, we investigate the stability using shadowing property in Abelian metric group and the generalized Hyers-Ulam-Rassias stability in Banach spaces of a quadratic functional equation, $f(x_1+x_2+x_3+x_4)+f(-x_1+x_2-x_3+x_4)+f(-x_1+x_2+x_3)+f(-x_2+x_3+x_4)+f(-x_3+x_4+x_1)+f(-x_4+x_1+x_2)=5{\sum\limits_{i=1}^4}f(x_i)$. Also, we study the stability using the alternative fixed point theory of the functional equation in Banach spaces.