• 제목/요약/키워드: solution of functional equation

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함산소불소화 효과에 의한 전기방사 활성탄소나노섬유의 $CO_2$ 저장 (Effect of oxyfluorination on activated electrospun carbon nanofibers for $CO_2$ storage)

  • 배병철;김종구;임지선;이영석
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2011년도 춘계학술대회 초록집
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    • pp.219.2-219.2
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    • 2011
  • The oxyfluorination effects of electrospun carbon nanofibers (OFACFs) were investigated for $CO_2$ storage. Carbon nanofibers were prepared form poly acrylonitrile / N,N-dimethylformamide solution through electrospinning method and heat treatment. Chemical activation of carbon nanofibers were carried out in order to improve the pore structure. And the surface modification of activated carbon nanofibers was conducted by oxyfluorination to improve the $CO_2$ storage on effect of introduced functional groups. The samples were labeled CF (electrospun carbon nanofiber), ACF (activated carbon nanofibers), OFACF-1 ($F_2:O_2$ = 3:7), OFACF-2 ($F_2:O_2$ = 5:5) and OFACF-3 ($F_2:O_2$ = 7:3). The functional group of OFACFs was investigated by x-ray photoelectron spectroscopy analysis. The specific surface area, pore volume and pore size of OFACFs were calculated and pore shape was estimated by the BET equation. Through the adsorption isotherm, the specific surface area and pore volume significantly decreased by oxyfluorination.

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Synthesis and Characterization of Biodegradable Thermo- and pH-Sensitive Hydrogels Based on Pluronic F127/Poly($\varepsilon$-caprolactone) Macromer and Acrylic Acid

  • Zhao, Sanping;Cao, Mengjie;Wu, Jun;Xu, Weilin
    • Macromolecular Research
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    • 제17권12호
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    • pp.1025-1031
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    • 2009
  • Several kinds of biodegradable hydrogels were prepared via in situ photopolymerization of Pluronic F127/poly($\varepsilon$-caprolactone) macromer and acrylic acid (AA) comonomer in aqueous medium. The swelling kinetics measurements showed that the resultant hydrogels exhibited both thermo- and pH-sensitive behaviors, and that this stimuli-responsiveness underwent a fast reversible process. With increasing pH of the local buffer solutions, the pH sensitivity of the hydrogels was increased, while the temperature sensitivity was decreased. In vitro hydrolytic degradation in the buffer solution (pH 7.4, $37^{\circ}C$), the degradation rate of the hydrogels was greatly improved due to the introduction of the AA comonomer. The in vitro release profiles of bovine serum albumin (BSA) in-situ embedded into the hydrogels were also investigated: the release mechanism of BSA based on the Peppas equation was followed Case II diffusion. Such biodegradable dual-sensitive hydrogel materials may have more advantages as a potentially interesting platform for smart drug delivery carriers and tissue engineering scaffolds.

PARAMETRIC EQUATIONS OF SPECIAL CURVES LYING ON A REGULAR SURFACE IN EUCLIDEAN 3-SPACE

  • El Haimi, Abderrazzak;Chahdi, Amina Ouazzani
    • Nonlinear Functional Analysis and Applications
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    • 제26권2호
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    • pp.225-236
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    • 2021
  • In this paper, we determine position vector of a line of curvature of a regular surface which is relatively normal-slant helix, with respect to Darboux frame. Then, a vector differential equation is established by means Darboux formulas, in the case of the geodesic torsion is vanishes. In terms of solution, we determine the parametric representation of a line of curvature which is relatively normal-slant helix, with respect to standard frame in Euclidean 3-space. Thereafter, we apply this result to find the position vector of a line of curvature which is isophote curve.

VALUE SHARING AND UNIQUENESS FOR THE POWER OF P-ADIC MEROMORPHIC FUNCTIONS

  • MENG, CHAO;LIU, GANG;ZHAO, LIANG
    • Journal of applied mathematics & informatics
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    • 제36권1_2호
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    • pp.39-50
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    • 2018
  • In this paper, we deal with the uniqueness problem for the power of p-adic meromorphic functions. The results obtained in this paper are the p-adic analogues and supplements of the theorems given by Yang and Zhang [Non-existence of meromorphic solution of a Fermat type functional equation, Aequationes Math. 76(2008), 140-150], Chen, Chen and Li [Uniqueness of difference operators of meromorphic functions, J. Ineq. Appl. 2012(2012), Art 48], Zhang [Value distribution and shared sets of differences of meromorphic functions, J. Math. Anal. Appl. 367(2010), 401-408].

EXISTENCE OF WEAK NON-NEGATIVE SOLUTIONS FOR A CLASS OF NONUNIFORMLY BOUNDARY VALUE PROBLEM

  • Hang, Trinh Thi Minh;Toan, Hoang Quoc
    • 대한수학회보
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    • 제49권4호
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    • pp.737-748
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    • 2012
  • The goal of this paper is to study the existence of non-trivial non-negative weak solution for the nonlinear elliptic equation: $$-div(h(x){\nabla}u)=f(x,u)\;in\;{\Omega}$$ with Dirichlet boundary condition in a bounded domain ${\Omega}{\subset}\mathbb{R}^N$, $N{\geq}3$, where $h(x){\in}L^1_{loc}({\Omega})$, $f(x,s)$ has asymptotically linear behavior. The solutions will be obtained in a subspace of the space $H^1_0({\Omega})$ and the proofs rely essentially on a variation of the mountain pass theorem in [12].

STABILITY OF DERIVATIONS ON PROPER LIE CQ*-ALGEBRAS

  • Najati, Abbas;Eskandani, G. Zamani
    • 대한수학회논문집
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    • 제24권1호
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    • pp.5-16
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    • 2009
  • In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability for a following functional equation $$\sum\limits_{i=1}^mf(x_i+\frac{1}{m}\sum\limits_{{i=1\atop j{\neq}i}\.}^mx_j)+f(\frac{1}{m}\sum\limits_{i=1}^mx_i)=2f(\sum\limits_{i=1}^mx_i)$$ for a fixed positive integer m with $m\;{\geq}\;2$. This is applied to investigate derivations and their stability on proper Lie $CQ^*$-algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72(1978), 297-300.

𝜓-COUPLED FIXED POINT THEOREM VIA SIMULATION FUNCTIONS IN COMPLETE PARTIALLY ORDERED METRIC SPACE AND ITS APPLICATIONS

  • Das, Anupam;Hazarika, Bipan;Nashine, Hemant Kumar;Kim, Jong Kyu
    • Nonlinear Functional Analysis and Applications
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    • 제26권2호
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    • pp.273-288
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    • 2021
  • We proposed to give some new 𝜓-coupled fixed point theorems using simulation function coupled with other control functions in a complete partially ordered metric space which includes many related results. Further we prove the existence of solution of a fractional integral equation by using this fixed point theorem and explain it with the help of an example.

탄소나노튜브 액츄에이터의 이론적 모델링 (Analytical Modeling of Carbon Nanotube Actuators)

  • 염영일;박철휴
    • 제어로봇시스템학회논문지
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    • 제10권11호
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    • pp.1006-1011
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    • 2004
  • Carbon nanotubes have outstanding properties which make them useful for a number of high-technology applications. Especially, single-walled carbon nanotube (SWNT), working under physical conditions (in aqueous solution) and converting electrical energy into mechanical energy directly, can be a good substitute for artificial muscle. The carbon nanotube structure simulated in this paper is an isotropic cantilever type with an adhesive tape which is sandwiched between two SWNTs. For predicting the geometrical and physical parameters such as deflection, slope, bending moment and induced force with various applied voltages, the analytical model for a 3 layer bimorph nanotube actuator is developed by applying Euler-Bernoulli beam theory. The governing equation and boundary conditions are derived from energy Principles. Also, the brief history of carbon nonotube is overviewed and its properties are compared with other functional materials. Moreover, an electro-mechanical coupling coefficient of the carbon nanotube actuator is discussed to identify the electro-mechanical energy efficiency.

이온통로에서 음이온 투과성 연구

  • 서봉임;심은지
    • EDISON SW 활용 경진대회 논문집
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    • 제3회(2014년)
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    • pp.287-299
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    • 2014
  • Bicarbonate anion ($HCO_3{^-}$) takes the role of major buffer systems in our body by maintaining the pH at 7.4. Epithelial $HCO_3{^-}$ secretion also hydrolyzes the mucus which protects body from noxious infections. It has been widely known that such infections are closely related to $HCO_3{^-}$ permeability through membrane and, thus, increasing the $HCO_3{^-}$ permeability is essential. To evaluate the $HCO_3{^-}$ permeability through ion channels, the free energy changes relevant to ion pumping are calculated with the Integral Equation Formalism-PCM (IEF-PCM) theory. Molecular structures of various anions including $HCO_3{^-}$ were optimized with the density functional theory at the level of B3LYP/6-311++G(d,p) in gas and solution phase. In addition, the anion permeability is significantly influenced by the relative size of the anion and pore. We introduce a shifted volume factor model that describes the pore size effect when the charged solutes transfer through ion channels. We found excellent agreement between experimental and calculated permeability when our novel model of the size effect was taken into account to.

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복합요소법을 이용한 항내 파낭 응답 수치해석 (Numerical Analysis of Wave Agitations in Arbitrary Shaped Harbors by Hybrid Element Method)

  • 정원무;편종근;정신택;정경태
    • 한국해안해양공학회지
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    • 제4권1호
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    • pp.34-44
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    • 1992
  • 단주기파의 항내 침입ㆍ변형에 의한 수면파난 현상을 효과적으로 예측하기 위한 수치모형을 제안하였다. 해저면 마찰을 고려한 완경사 방정식을 기본으로 하고 고체 경과면에서는 부분흡수 경계조건을 사용하였다. 방파제 주변과 항내 영역은 유한요소로 모형화하고 항외 영역에서는 Helmholtz 방정식의 해석해를 사용하는 복합요소법을 이용하였다. Chen과 Mei(1974)의 방법에 따라 경계치 문제의 범함수를 구한 후 구함되는 최종적인 연입방정식을 Gauss 소거법으로 푸는 수치모형을 수립하였다. 양익방파제에 의한 파의 회절에 대한 수치모형실험(Pos and Kilner, 1987)과 수치계산을 비교한 결과 양자가 양호하게 일치하여 본 수치모형의 타당성이 검증되었다. 본 모형은 유한차분 모형에 비해 경계면과 반사의 처리가 정확한 반면 상대적으로 커다란 컴퓨터 기억용양을 필요로 하므로 사각형 요소를 사용하는 등의 개선이 요구되었다.

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