• 제목/요약/키워드: Functional Solution Analysis

검색결과 312건 처리시간 0.024초

GRAPH CONVERGENCE AND GENERALIZED CAYLEY OPERATOR WITH AN APPLICATION TO A SYSTEM OF CAYLEY INCLUSIONS IN SEMI-INNER PRODUCT SPACES

  • Mudasir A. Malik;Mohd Iqbal Bhat;Ho Geun Hyun
    • Nonlinear Functional Analysis and Applications
    • /
    • 제28권1호
    • /
    • pp.265-286
    • /
    • 2023
  • In this paper, we introduce and study a generalized Cayley operator associated to H(·, ·)-monotone operator in semi-inner product spaces. Using the notion of graph convergence, we give the equivalence result between graph convergence and convergence of generalized Cayley operator for the H(·, ·)-monotone operator without using the convergence of the associated resolvent operator. To support our claim, we construct a numerical example. As an application, we consider a system of generalized Cayley inclusions involving H(·, ·)-monotone operators and give the existence and uniqueness of the solution for this system. Finally, we propose a perturbed iterative algorithm for finding the approximate solution and discuss the convergence of iterative sequences generated by the perturbed iterative algorithm.

SOLUTION OF A NONLINEAR DELAY INTEGRAL EQUATION VIA A FASTER ITERATIVE METHOD

  • James Abah Ugboh;Joseph Oboyi;Mfon Okon Udo;Emem Okon Ekpenyong;Chukwuka Fernando Chikwe;Ojen Kumar Narain
    • Nonlinear Functional Analysis and Applications
    • /
    • 제29권1호
    • /
    • pp.179-195
    • /
    • 2024
  • In this article, we study the Picard-Ishikawa iterative method for approximating the fixed point of generalized α-Reich-Suzuki nonexpanisive mappings. The weak and strong convergence theorems of the considered method are established with mild assumptions. Numerical example is provided to illustrate the computational efficiency of the studied method. We apply our results to the solution of a nonlinear delay integral equation. The results in this article are improvements of well-known results.

A NEW RELAXED TSENG METHOD FOR FINDING A COMMON SOLUTION OF FIXED POINT AND SPLIT MONOTONE INCLUSION PROBLEMS

  • Lusanda Mzimela;Akindele Adebayo Mebawondu;Adhir Maharaj;Chinedu Izuchukwu;Ojen Kumar Narain
    • Nonlinear Functional Analysis and Applications
    • /
    • 제29권1호
    • /
    • pp.225-258
    • /
    • 2024
  • In this paper, we study the problem of finding a common solution to a fixed point problem involving a finite family of ρ-demimetric operators and a split monotone inclusion problem with monotone and Lipschitz continuous operator in real Hilbert spaces. Motivated by the inertial technique and the Tseng method, a new and efficient iterative method for solving the aforementioned problem is introduced and studied. Also, we establish a strong convergence result of the proposed method under standard and mild conditions.

방전처리에 의한 Polypropylene섬유의 표면개질 (Surface Modification of Polypropylene Fiber by Plasma Discharge)

  • 허만우;이창재;강인규;한명호;김삼수;임학상
    • 한국염색가공학회지
    • /
    • 제11권2호
    • /
    • pp.27-37
    • /
    • 1999
  • Polypropylene(PP) films were treated with plasma glow discharge to produce peroxy radicals on the surfaces. The peroxy radicals formed on the PP film surfaces were subsequently used for the graft polymerization of acrylic acid and acrylamide in an aqueous solution by heating, respectively. Introduction of acrylic acid and acrylamide on the PP film could be confirmed by the observation of carbonyl and primary amine absorptions based on carboxylic acid and amide, respectively. And introduction of functional group could be confirmed by weight analysis and ESCA. The water contact angle(90$^{\circ}$) of PP film was constant, irrespective of elapsed time, while plasma-treated and functional monomer-grafted PP films were slowly increased with elapsed time, showing the rearrangement of surface polar groups in air condition. The water contact angle$(90^\circ)$ of PP film was decreased by the plasma treatment$(56^\circ)$ and further decreased by the grafting of acrylic acid$(34^\circ)$ and acrylamide$(37^\circ)$, indicating increased hydrophilicity of the modified surfaces. The water contact angle of plasma-treated PP film increased a little as time elapsing. The half-life periods of surface voltage on acrylic acid-(31sec) and acrylamide-grafted PP(42sec) were significantly decreased when compared to those on PP(950sec) and plasma-treated PP film(241sec). In the experiments using acid, basic and disperse dyes, absorbance and $\Delta{E}$ values of functional monomer-grafted PP films were significantly increased than that of oxygen plasma-treated one.

  • PDF

한국 남자 군인 기능성 방한복 내피 개발을 위한 실태 및 만족도 조사 (A Survey on Actual Wearing Condition and Satisfaction of Functional Inner Winter Uniform for Male Soldiers in Korea)

  • 김연주;김선영
    • 한국의류학회지
    • /
    • 제46권5호
    • /
    • pp.910-926
    • /
    • 2022
  • Suitability for the human body, freedom to move and thermal insulation are important design considerations in military clothing. This study investigates the performance and wearer-satisfaction of the functional inner winter uniform currently used in Korea; it is hoped that our data can inform the development of a future version. Interviews were conducted, in which the participants suggested various improvements. The uniforms were mainly worn for guard duty or as daily attire in cold weather. The participants chose how many layers to wear according to the current situation, rather than sticking to the layering recommended in the manual. Layering choices did not significantly affect combat efficiency but were found to affect wearers' comfort. Wearers' satisfaction was found to depend on the convenience of the clothing, whether it was in the appropriate size, freedom to move and thermal insulation. Also, this study suggests a problem with the current size system, as the analysis of size distribution, across all sizes, the range of current production is insufficient to cover the demand.

Solution structure and functional analysis of HelaTx1: the first toxin member of the κ-KTx5 subfamily

  • Park, Bong Gyu;Peigneur, Steve;Esaki, Nao;Yamaguchi, Yoko;Ryu, Jae Ha;Tytgat, Jan;Kim, Jae Il;Sato, Kazuki
    • BMB Reports
    • /
    • 제53권5호
    • /
    • pp.260-265
    • /
    • 2020
  • Scorpion venom comprises a cocktail of toxins that have proven to be useful molecular tools for studying the pharmacological properties of membrane ion channels. HelaTx1, a short peptide neurotoxin isolated recently from the venom of the scorpion Heterometrus laoticus, is a 25 amino acid peptide with two disulfide bonds that shares low sequence homology with other scorpion toxins. HelaTx1 effectively decreases the amplitude of the K+ currents of voltage-gated Kv1.1 and Kv1.6 channels expressed in Xenopus oocytes, and was identified as the first toxin member of the κ-KTx5 subfamily, based on a sequence comparison and phylogenetic analysis. In the present study, we report the NMR solution structure of HelaTx1, and the major interaction points for its binding to voltage-gated Kv1.1 channels. The NMR results indicate that HelaTx1 adopts a helix-loop-helix fold linked by two disulfide bonds without any β-sheets, resembling the molecular folding of other cysteine-stabilized helix-loop-helix (Cs α/α) scorpion toxins such as κ-hefutoxin, HeTx, and OmTx, as well as conotoxin pl14a. A series of alanine-scanning analogs revealed a broad surface on the toxin molecule largely comprising positively-charged residues that is crucial for interaction with voltage-gated Kv1.1 channels. Interestingly, the functional dyad, a key molecular determinant for activity against voltage-gated potassium channels in other toxins, is not present in HelaTx1.

Heavy Metals Biosorption from Aqueous Solution by Endophytic Drechslera hawaiiensis of Morus alba L. Derived from Heavy Metals Habitats

  • El-Gendy, Mervat Morsy Abbas Ahmed;Hassanein, Naziha M.;El-Hay Ibrahim, Hussein Abd;El-Baky, Doaa H. Abd
    • Mycobiology
    • /
    • 제45권2호
    • /
    • pp.73-83
    • /
    • 2017
  • The ability of dead cells of endophytic Drechslera hawaiiensis of Morus alba L. grown in heavy metals habitats for bioremoval of cadmium ($Cd^{2+}$), copper ($Cu^{2+}$), and lead ($Pb^{2+}$) in aqueous solution was evaluated under different conditions. Whereas the highest extent of $Cd^{2+}$ and $Cu^{2+}$ removal and uptake occurred at pH 8 as well as $Pb^{2+}$ occurred at neutral pH (6-7) after equilibrium time 10 min. Initial concentration 30 mg/L of $Cd^{+2}$ for 10 min contact time and 50 to 90 mg/L of $Pb^{2+}$ and $Cu^{2+}$ supported the highest biosorption after optimal contact time of 30 min achieved with biomass dose equal to 5 mg of dried died biomass of D. hawaiiensis. The maximum removal of $Cd^{2+}$, $Cu^{2+}$, and $Pb^{2+}$ equal to 100%, 100%, and 99.6% with uptake capacity estimated to be 0.28, 2.33, and 9.63 mg/g from real industrial wastewater, respectively were achieved within 3 hr contact time at pH 7.0, 7.0, and 6.0, respectively by using the dead biomass of D. hawaiiensis compared to 94.7%, 98%, and 99.26% removal with uptake equal to 0.264, 2.3, and 9.58 mg/g of $Cd^{2+}$, $Cu^{2+}$, and $Pb^{2+}$, respectively with the living cells of the strain under the same conditions. The biosorbent was analyzed by Fourier Transformer Infrared Spectroscopy (FT-IR) analysis to identify the various functional groups contributing in the sorption process. From FT-IR spectra analysis, hydroxyl and amides were the major functional groups contributed in biosorption process. It was concluded that endophytic D. hawaiiensis biomass can be used potentially as biosorbent for removing $Cd^{2+}$, $Cu^{2+}$, and $Pb^{2+}$ in aqueous solutions.

HPLC-UVD를 이용한 건강기능식품에서 클로로겐산과 카페인 동시분석법 최적화 및 적용성 검증 (Optimization and Applicability Verification of Simultaneous Chlorogenic acid and Caffeine Analysis in Health Functional Foods using HPLC-UVD)

  • 정희선;이세윤;김규헌;이미영;최정호;안정선;오재명;권광일;이혜영
    • 한국식품위생안전성학회지
    • /
    • 제39권2호
    • /
    • pp.61-71
    • /
    • 2024
  • 본 연구는 그린커피빈추출물이 「건강기능식품의 기준 및 규격」에 추가로 등재될 경우를 대비하여 표준화된 클로로겐산 시험법을 설정하고, 카페인이 동시 분석되도록 최적화하는 연구를 진행하였다. 최적화된 시험법을 마련하기 위해 기기분석 및 전처리 조건을 비교·분석하여 클로로겐산과 카페인을 30% 메탄올 추출하여 인산용액과 인산 함유 아세토니트릴으로 액체크로마토그래프를 통해 330 nm, 280 nm에서 분석하도록 시험법을 설정하였다. 시험법 밸리데이션 결과, 직선성 정량범위 내에서 상관계수(R2) 0.999 이상의 유의수준을 보였고, 클로로겐산과 카페인 검출한계는 0.5와 0.2 ㎍/mL, 정량한계는 1.4와 0.4 ㎍/mL로 나타났다. 정밀도와 정확도 결과는 AOAC 밸리데이션 가이드라인를 통해 적합함을 확인하였고, 클로로겐산 및 카페인 동시분석법을 최종적으로 마련하였다. 또한, 시제품과 유통제품을 통해 제형별 적용성 검토하여 클로로겐산과 카페인을 동시에 정량 가능한 시험법임을 재확인하였다. 최적화된 시험법은 클로로겐산을 함유한 건강기능식품 품질관리에 대한 신뢰성을 더 높일 것으로 본다.

APPROXIMATION OF CUBIC MAPPINGS WITH n-VARIABLES IN β-NORMED LEFT BANACH MODULE ON BANACH ALGEBRAS

  • Gordji, Majid Eshaghi;Khodaei, Hamid;Najati, Abbas
    • 대한수학회보
    • /
    • 제48권5호
    • /
    • pp.1063-1078
    • /
    • 2011
  • Let M = {1, 2, ${\ldots}$, n} and let V = {$I{\subseteq}M:1{\in}I$}. Denote M\I by $I^c$ for $I{\in}V$. The goal of this paper is to investigate the solution and the stability using the alternative fixed point of generalized cubic functional equation $ \sum\limits_{I{\in}V}f(\sum\limits_{i{\in}I}a_ix_i-\sum\limits_{i{\in}I^c}a_ix_i)=2{^{n-2}{a_1}}\sum\limits_{i=2}^na_i^2[f(x_1+x_i)+f(x_1-x_i)]+2{^{n-1}{a_1}(a^2_1-\sum\limits_{i=2}^2a^2_i)f(x_1)$ in ${\beta}$-Banach modules on Banach algebras, where $a_1,{\ldots},a_n{\in}\mathbb{Z}{\backslash}\{0\}$ with $a_1{\neq}={\pm}1$ and $a_n=1$.

Acoustically-enhanced particle dispersion in polystyrene/alumina nanocomposites

  • Philip, Mercy A.;Natarajan, Upendra;Nagarajan, Ramamurthy
    • Advances in nano research
    • /
    • 제2권2호
    • /
    • pp.121-133
    • /
    • 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.