• Title/Summary/Keyword: Functional applications

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LOCAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH VISCOELASTIC TERM

  • Nhan, Nguyen Huu;Nhan, Truong Thi;Ngoc, Le Thi Phuong;Long, Nguyen Thanh
    • Nonlinear Functional Analysis and Applications
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    • 제26권1호
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    • pp.35-64
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    • 2021
  • In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish a sufficient condition to obtain the global existence and exponential decay of weak solutions.

A FIXED POINT THEOREM FOR NON-SELF G-CONTRACTIVE TYPE MAPPINGS IN CONE METRIC SPACE ENDOWED WITH A GRAPH

  • Sumitra, R.;Aruna, R.;Hemavathy, R.
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.1105-1114
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    • 2021
  • In this paper, we prove a fixed point theorem for G-contractive type non-self mapping in cone metric space endowed with a graph. Our result generalizes many results in the literature and provide a new pavement for solving nonlinear functional equations.

AN INVESTIGATION ON THE EXISTENCE AND UNIQUENESS ANALYSIS OF THE FRACTIONAL NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • Fawzi Muttar Ismaael
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.237-249
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    • 2023
  • In this paper, by means of the Schauder fixed point theorem and Arzela-Ascoli theorem, the existence and uniqueness of solutions for a class of not instantaneous impulsive problems of nonlinear fractional functional Volterra-Fredholm integro-differential equations are investigated. An example is given to illustrate the main results.

ALMOST QUADRATIC LIE *-DERIVATIONS ON CONVEX MODULAR *-ALGEBRAS

  • Ick-Soon Chang;Hark-Mahn Kim
    • Nonlinear Functional Analysis and Applications
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    • 제28권4호
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    • pp.887-902
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    • 2023
  • In this article, we investigate an approximate quadratic Lie *-derivation of a quadratic functional equation f(ax + by) + abf(x - y) = (a + b)(af(x) + bf(y)), where ab ≠ 0, a, b ∈ ℕ, associated with the identity f([x, y]) = [f(x), y2] + [x2, f(y)] on a 𝜌-complete convex modular *-algebra χ𝜌 by using ∆2-condition via convex modular 𝜌.

Incorporation of Graphitic Porous Carbon for Synthesis of Composite Carbon Aerogel with Enhanced Electrochemical Performance

  • Singh, Ashish;Kohli, D.K.;Singh, Rashmi;Bhartiya, Sushmita;Singh, M.K.;Karnal, A.K.
    • Journal of Electrochemical Science and Technology
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    • 제12권2호
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    • pp.204-211
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    • 2021
  • We report, synthesis of high surface area composite carbon aerogel using additive based polymerization technique by incorporating graphitic porous carbon as additive. This additive was separately prepared using sol-gel polymerization of resorcinol-furfuraldehyde in iso-propyl alcohol medium at much above the routine gelation temperature to yield porous carbon (CA-IPA) having graphitic layered morphology. CA-IPA exhibited a unique combination of meso-pore dominated surface area (~ 700 m2/g) and good conductivity of ~ 300 S/m. The composite carbon aerogel (CCA) was synthesized by traditional aqueous medium based resorcinol-formaldehyde gelation with CA-IPA as additive. The presence of CA-IPA favored enhanced meso-porosity as well as contributed to improvement in bulk conductivity. Based on the surface area characteristics, CCA-8 composition having 8% additive was found to be optimum. It showed specific surface area of ~ 2056 m2/g, mesopore area of 827 m2/g and electrical conductivity of 180 S/m. The electrode formed with CCA-8 showed improved electrochemical behavior, with specific capacitance of 148 F/g & ESR < 1 Ω, making it a better choice as super capacitor for energy storage applications.

Functional Data Classification of Variable Stars

  • Park, Minjeong;Kim, Donghoh;Cho, Sinsup;Oh, Hee-Seok
    • Communications for Statistical Applications and Methods
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    • 제20권4호
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    • pp.271-281
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    • 2013
  • This paper considers a problem of classification of variable stars based on functional data analysis. For a better understanding of galaxy structure and stellar evolution, various approaches for classification of variable stars have been studied. Several features that explain the characteristics of variable stars (such as color index, amplitude, period, and Fourier coefficients) were usually used to classify variable stars. Excluding other factors but focusing only on the curve shapes of variable stars, Deb and Singh (2009) proposed a classification procedure using multivariate principal component analysis. However, this approach is limited to accommodate some features of the light curve data that are unequally spaced in the phase domain and have some functional properties. In this paper, we propose a light curve estimation method that is suitable for functional data analysis, and provide a classification procedure for variable stars that combined the features of a light curve with existing functional data analysis methods. To evaluate its practical applicability, we apply the proposed classification procedure to the data sets of variable stars from the project STellar Astrophysics and Research on Exoplanets (STARE).

A proposal of MFMCAM and its applications

  • Kumaki, Takeshi;Iwai, Keisuke;Kurokawa, Takakazu
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -1
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    • pp.224-227
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    • 2002
  • This paper proposes MFMCAM(Multi-Functional Multi-port CAM) which has several ports with same characteristic function. This device can process data faster than the conventional single port CAM. MFMCAM is superior to CAMs formed in parallel on the stand points of frequency and module resources. Two representative applications of MFMCAM, sorter and router, are also presented.

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Nanoscale Metal Powders Production and Applications

  • Gunther, Bernd-H
    • 한국분말재료학회지
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    • 제9권6호
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    • pp.409-415
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    • 2002
  • In this review the methods for production and processing of isolated or agglomerated nanoscale metal particles embedded in organic liquids (nanosuspensions) and polymer matrix composites are elucidated. Emphasis is laid on the techniques of inert gas condensation (IGC) and high pressure sputtering for obtaining highly porous metal powders ("nanopowder") as well as on vacuum evaporation on running liquids for obtaining nanosuspensions. Functional properties and post-processing are outlined in view of applications in the fields of electrically conductive adhesives and anti-microbially active materials for medical articles and consumer goods.mer goods.

Combinatorial Methods for Characterization and Optimization of Polymer Formulations

  • Amis Eric J.
    • 한국고분자학회:학술대회논문집
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    • 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
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    • pp.110-111
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    • 2006
  • Most applications of polymers involve blends and mixtures of components including solvents, surfactants, copolymers, fillers, organic or inorganic functional additives, and various processing aids. These components provide unique properties of polymeric materials even beyond those tailored into the basic chemical structures. In addition, skillful processing extends the properties for even greater applications. The perennial challenge of polymer science is to understand and exploit the structure-processing-property interplay relationship. We are developing and demonstrating combinatorial methods and high throughput analysis as tools to provide this fundamental understanding.

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