• Title/Summary/Keyword: Solution stability

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HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy

  • Miura, Takeshi Miura;Jung, Soon-Mo;Takahasi, Sin-Ei
    • Journal of the Korean Mathematical Society
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    • v.41 no.6
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    • pp.995-1005
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    • 2004
  • The aim of this paper is to prove the stability in the sense of Hyers-Ulam- Rassias of the Banach space valued differentialequation y' = λy, where λ is a complex constant. That is, suppose f is a Banach space valued strongly differentiable function on an open interval. If f is an approximate solution of the equation y' = λy, then there exists an exact solution of the equation near to f.

Characterization of Nickel-coated Silver Nanowire Flexible Transparent Electrodes with a Random-mesh Structure Formed by Bubble Control (거품 제어에 의해 형성된 무정형 그물망 구조의 니켈이 코팅된 은나노와이어 유연 투명전극의 특성 분석)

  • Park, Jong Seol;Park, Tae Gon;Park, Jin Seok
    • Journal of the Semiconductor & Display Technology
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    • v.19 no.3
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    • pp.36-42
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    • 2020
  • Silver nanowire (AgNW) random-meshes with high transmittance, low sheet resistance, and high oxidation stability and flexibility were fabricated using solution-based processes. The random-mesh structure was obtained by forming bubbles whose sizes and densities were controlled using a corona treatment of polyethylene terephthalate (PET) substrates. To reduce the sheet resistance of the fabricated AgNW electrode, a washing process using ethanol solution was performed. In addition, nickel (Ni) was coated on AgNW to improve resistance to oxidation. The effects of corona treatment and Ni-coating on the transmittance, sheet resistance, oxidation stability, and flexibility of the AgNW electrodes were investigated.

Mixed Electrolytes of Organic Solvents and Ionic Liquid for Rechargeable Lithium-Ion Batteries

  • Choi, Ji-Ae;Shim, Eun-Gi;Scrosati, Bruno;Kim, Dong-Won
    • Bulletin of the Korean Chemical Society
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    • v.31 no.11
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    • pp.3190-3194
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    • 2010
  • Mixed electrolytes formed by the combination of 1-butyl-1-methylpyrrolidinium bis(trifluoromethanesulfonyl) imide (BMP-TFSI) ionic liquid and standard liquid electrolyte are prepared and characterized. Linear sweep voltammetry measurements demonstrate that these mixed systems exhibit a wide electrochemical stability window, allowing them to be suitable electrolyte for carbonaceous anode-based lithium-ion batteries. Lithium-ion cells composed of graphite anode and $LiCoO_2$ cathode are assembled using the mixed electrolytes, and their cycling performances are evaluated. The cell containing proper content of BMP-TFSI shows good cycling performance comparable to that of a cell assembled with organic electrolyte. The presence of BMP-TFSI in the mixed electrolyte contributes to the reduction of the flammability of electrolyte solution and the improvement of the thermal stability of charged $Li_{1-x}CoO_2$ in the electrolyte solution.

The Stability of Chlorobutanol Solution in Polyethylene and Glycol-modified Polyethylene Terephthalate Containers (Polyethylene과 Glycol-modified Polyethylene Terephthalate 용기내에서의 Chlorobutanol용액의 안정성)

  • Min, Shin-Hong;Kwon, Jong-Won;Jheong, Gu-Choong
    • Journal of Pharmaceutical Investigation
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    • v.16 no.1
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    • pp.8-11
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    • 1986
  • There have been many difficulties in utilization of polyethylene (PE) container for volatile ingredients because of its high permeability. We selected glycol-modified polyethylene terephthalate (PETG) lately being used and evaluated the stability of 0.5% chlorobutanol solution for PETG. We used PE bottle, glass flask and rubber stoppered vial for comparison and assayed chlorobutanol contents of the samples stored at various temperatures for nine weeks by HPLC method. The results indicated that the stability of chlorobutanol in PETG container was almost similar to that in glass flask, and was superior to that in PE bottle and rubber stoppered vial.

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SOLUTION AND STABILITY OF AN EXPONENTIAL TYPE FUNCTIONAL EQUATION

  • Lee, Young-Whan;Kim, Gwang-Hui;Lee, Jae-Ha
    • The Pure and Applied Mathematics
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    • v.15 no.2
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    • pp.169-178
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    • 2008
  • In this paper we generalize the superstability of the exponential functional equation proved by J. Baker et al. [2], that is, we solve an exponential type functional equation $$f(x+y)\;=\;a^{xy}f(x)f(y)$$ and obtain the superstability of this equation. Also we generalize the stability of the exponential type equation in the spirt of R. Ger[4] of the following setting $$|{\frac{f(x\;+\;y)}{{a^{xy}f(x)f(y)}}}\;-\;1|\;{\leq}\;{\delta}.$$

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EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND LARGE IMPULSES

  • Zuo, Yi;Wang, Yaonan;Huang, Lihong;Li, Chunsheng
    • Journal of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.1071-1085
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    • 2009
  • This paper considers the problem of existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with distributed delays and large impulses. Based on the contraction principle and Gronwall-Bellman's inequality, some sufficient conditions are obtained. The results of this paper are new and they complement previously known results.

CONVERGENCE AND STABILITY OF ITERATIVE ALGORITHM OF SYSTEM OF GENERALIZED IMPLICIT VARIATIONAL-LIKE INCLUSION PROBLEMS USING (𝜃, 𝜑, 𝛾)-RELAXED COCOERCIVITY

  • Kim, Jong Kyu;Bhat, Mohd Iqbal;Shaf, Sumeera
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.749-780
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    • 2021
  • In this paper, we give the notion of M(., .)-𝜂-proximal mapping for a nonconvex, proper, lower semicontinuous and subdifferentiable functional on Banach space and prove its existence and Lipschitz continuity. As an application, we introduce and investigate a new system of variational-like inclusions in Banach spaces. By means of M(., .)-𝜂-proximal mapping method, we give the existence of solution for the system of variational inclusions. Further, propose an iterative algorithm for finding the approximate solution of this class of variational inclusions. Furthermore, we discuss the convergence and stability analysis of the iterative algorithm. The results presented in this paper may be further expolited to solve some more important classes of problems in this direction.

Synthesis of Size Controllable Silk Fibroin Microparticles and Their Stability on Different Solutions

  • Aryal, Susmita;Yu, Chan Yeong;Cho, Hyeyoun;Choi, Seung Ho;Key, Jaehong
    • Journal of Biomedical Engineering Research
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    • v.43 no.4
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    • pp.251-258
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    • 2022
  • Silk fibroin microparticles were fabricated using a phase separation technique between silk fibroin solution and polyvinyl alcohol. We found that the concentration of polyvinyl alcohol determines the size of microparticles. The mean diameter of the silk fibroin microparticles varied from 3.48 ㎛ to 4.05 ㎛. The silk fibroin microparticle size increased as a function of the concentration of PVA in aqueous silk solution. The resulting silk fibroin microparticles have narrow size distribution (i.e. monodisperse) and smooth/spherical surface. Also, we studied the effects of mouse serum, sodium phosphate buffer (PBS), and pH on the stability of the silk fibroin microparticles. Overall, we demonstrated the simple method to fabricate and to control the silk fibroin microparticles that makes our silk microparticles to be usable for a potential drug delivery carrier.

Improved Stability Sputtered IZO Thin Film Transistor Using Solution Processed Al2O3 Diffusion Layer (Solution-Processed Al2O3 확산층을 이용한 Sputtering IZO Thin Film Transistor의 안정성 향상)

  • Hwang, Namgyung;Lim, Yooseong;Lee, Jeong Seok;Lee, Sehyeong;Yi, Moonsuk
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.31 no.5
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    • pp.273-277
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    • 2018
  • This research introduces the sputtered IZO thin film transistor (TFT) with solution-processed $Al_2O_3$ diffusion layer. IZO is one of the most commonly used amorphous oxide semiconductor (AOS) TFT. However, most AOS TFTs have many defects that degrade performance. Especially oxygen vacancy in the active layer. In previous research, aluminum was used as a carrier suppressor by binding the oxygen vacancy and making a strong bond with oxygen atoms. In this paper, we use a solution-processed $Al_2O_3$ diffusion layer to fabricate stable IZO TFTs. A double-layer solution-processed $Al_2O_3$-sputtered IZO TFT showed better performance and stability, compared to normal sputtered IZO TFT.

The Effect of Polyethylene Glycol on the Trivalent Chromium Electroplating (Polyethylene glycol이 3가크롬 전기도금에 미치는 효과)

  • Lee, Joo-Yul;Phuong, Nguyen Van;Lim, Sung-Hwan;Han, Seung-Zeon;Kwon, Sik-Chol
    • Journal of the Korean institute of surface engineering
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    • v.44 no.1
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    • pp.7-12
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    • 2011
  • The effect of organic additives, polyethylene glycol (PEG), on the trivalent chromium electroplating was analysed in the view point of current efficiency, solution stability and metallurgical structure. It was measured that PEG-containing trivalent chromium solution had about 10% higher current efficiency than pure solution and controlled the micro-crack density of electrodeposits. PEG exhibited profound effect on the solution stability by reducing the consumption rate of formic acid which acts as a complexant to lower the activation energy required for electrochemical reduction of trivalent chromium ions. It was also revealed that the formation of chromium carbide layer was facilitated in the presence of polyethylene glycol, which meant easier electrochemical codeposition of chromium and carbon, not single chromium deposition. Trivalent chromium layer formed from PEG-containing solution was amorphous with local nano-crystalline particles, which were prominently developed on the entire surface after non-oxidative heat treatment.