• Journal of applied mathematics & informatics
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• v.33 no.5_6
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• pp.687-697
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• 2015

This paper shows that the solutions to the perturbed nonlinear functional differential system

• Food Science and Industry
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• v.48 no.1
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• pp.38-49
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• 2015

• The Pure and Applied Mathematics
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• v.28 no.1
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• pp.1-13
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• 2021

In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.

• Food Science and Biotechnology
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• v.18 no.4
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• pp.889-894
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• 2009

Barley proteins are expected to have unique functional properties due to their high content of alcohol soluble protein, hordein. Since the barley proteins obtained by conventional isoelectric precipitation method cannot represent hordein fraction, barley proteins were fractionated to albumin, globulin, glutelin, and hordein with respect to extraction solvents. Functional properties and film-forming properties of solubility-fractionated barley proteins were investigated to explore their potential for human food ingredient and industrial usage. The 100 g of total barley protein comprised 5 g albumin, 23 g globulin, 45 g glutelin, and 27 g hordein. Water-binding capacities of barley protein isolates ranged from 140-183 mL water/100 g solid. Hordein showed the highest oil absorption capacity (136 mL oil/100 g), and glutelin showed the highest gelation property among the fractionated proteins. In general, the barley protein fractions formed brittle and weak films as indicated by low tensile strength (TS) and percent elongation at break (E) values. The salt-soluble globulin fraction produced film with the lowest TS value. Although films made from glutelin and hordein were dark-colored and had lower E values, they could be used as excellent barriers against water transmission.

• KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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• v.13 no.3_4
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• pp.89-95
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• 2007

Functional packaging paper containing botanical antimicrobial agent (BAAG) and inorganic zeolite was developed for antimicrobial activity and adsorption of ethylene gas of the paper. The physical properties of the packaging paper showed different characteristics with addition of BAAG and functional fillers: both tensile strength and burst strength were decreased, but both stiffness and tear strength were slightly increased. Zeolite also contributed to fast removal of ethylene gas known as aging hormone of fruits and vegetables. Alkyl ketene dimer (AKD) was greatly effective to endow the packaging paper with water repellency property.

• The Research Journal of the Costume Culture
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• v.22 no.3
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• pp.431-439
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• 2014

This research verified the usefulness and practicality of citrus peel extract as a natural dye. This study dyed cotton, silk, and cotton/mulberry fiber blended fabrics using citrus peel extract, and measured the dyeability and functional property to verify their usefulness and practicality. The dyeing affinity of the citrus peel extract was measured by dyeing under alkaline conditions to determine the temperature and time for optimal dyeing conditions of the solution. The results show that a temperature and time of $60^{\circ}C$ and 30 minutes were optimal for dyeing cotton fabrics with citrus peel extract, $50^{\circ}C$ and 60 minutes for silk fabrics, and $60^{\circ}C$ and 60 minutes for cotton/mulberry fiber blended fabrics, respectively. In addition the results of measuring the color fastness of the cotton, silk, and cotton/mulberry fiber blended fabrics dyed with the citrus peel extract show that the color fastness was superior for washing, friction, sweat, and water. However, the color fastness for sunlight appeared to be slightly weak. In addition, it was found that fabric dyed with the citrus peel extract showed partial antimicrobial properties. The antimicrobial property appeared the greatest in the silk fabric. The cotton/mulberry fiber blended fabrics had 90% or more Staphylococcus aureus present, but the antimicrobial properties were not high in the cotton fabric. Additionally, the heavy metal content, which is harmful to the human body, appeared to be lower than standard figures, so the dye was found to be innocuous to humans. Therefore, when the results of this study are put together, citrus peel extract is sufficiently useful and practical as an ingredient for a natural dye. Moreover, there is ample possibility to develop citrus peel dyed fabrics as environmentally friendly fashion materials.

• Nonlinear Functional Analysis and Applications
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• v.27 no.4
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• pp.839-853
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• 2022

We define the notions of ergodic shadowing property, $\underline{d}$-shadowing property and eventual shadowing property in terms of the topology of the phase space. Secondly we define these notions in terms of the compatible uniformity of the phase space. When the phase space is a compact Hausdorff space, we establish the equivalence of the corresponding definitions of the topological approach and the uniformity approach. In case the phase space is a compact metric space, the notions of ergodic shadowing property, $\underline{d}$-shadowing property and eventual shadowing property defined in terms of topology and uniformity are equivalent to their respective standard definitions.

• Bulletin of the Korean Chemical Society
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• v.30 no.3
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• pp.556-560
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• 2009

Aggregation behavior of three kinds of benzindocarbocyanine dyes in aqueous methanol solution was studied by UV-Vis absorption spectrum. The results indicated that the three dyes all existed monomer-dimer equilibrium in aqueous methanol solution (concentration range $10^{−5}\;to\;10^{−6}$ M) at 25.0$\sim$41.0 ${^{\circ}C}$ for Dye 1, 28.0$\sim$49.0 ${^{\circ}C}$ for Dye 2 and 26.0$\sim$47.0 ${^{\circ}C}$ for Dye 3. The fundamental property of the three dyes as the dimeric association constant KD, the dimeric free energy ${\Delta$}G_D, the dimeric entropy ${\Delta$}S_D, and the dimeric enthalpy ${\Delta$}H_D were determined. The ${\Delta$}H_D of three dyes: Dye 1, Dye 2 and Dye 3 was -42.5, -15.1 and -18.9 kJ/mol, respectively. The experimental observations were the subject of a theoretical study including the ground-state geometries which were fully optimized using DFT at B3LYP/6-31G level. The effect of dye molecule structure on ${\Delta$}H_D was discussed by theoretical calculations.

• Honam Mathematical Journal
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• v.30 no.3
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• pp.411-423
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• 2008

In the field of population dynamics and chemical reaction the possibility or the existence of spatially and temporally nonhomogeneous solutions is a very important problem. For last 50 years or so there have been many results on the pattern formation of chemical reaction systems studying reaction systems with or without diffusions to explain instabilities and nonhomogeneous states arising in biological situations. In this paper we study time-dependent properties of a predator-prey system with functional response and give sufficient conditions that guarantee the existence of stable limit cycles.

• 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.