• Title/Summary/Keyword: East Asian mathematics

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AN OPTIMAL CONSUMPTION AND INVESTMENT PROBLEM WITH CES UTILITY AND NEGATIVE WEALTH CONSTRAINTS

  • Roh, Kum-Hwan
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.331-338
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    • 2018
  • We investigate the optimal consumption and portfolio strategies of an agent who has a constant elasticity of substitution (CES) utility function under the negative wealth constraint. We use the martingale method to derive the closed-form solution, and we give some numerical implications.

UNIFORM DECAY OF SOLUTIONS FOR VISCOELASTIC PROBLEMS

  • Bae, Jeong-Ja
    • East Asian mathematical journal
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    • v.19 no.2
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    • pp.189-205
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    • 2003
  • In this paper we prove the existence of solution and uniform decay rates of the energy to viscoelastic problems with nonlinear boundary damping term. To obtain the existence of solutions, we use Faedo-Galerkin's approximation, and also to show the uniform stabilization we use the perturbed energy method.

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ON MAXIMAL PRERADICAL RATIONAL EXTENSIONS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.19 no.2
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    • pp.251-259
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    • 2003
  • The concepts of t-rational extensions and t-essential extensions of modules, where t a preradical for R-Mod, are introduced. The structures of such extensions are determined. Relations between maximal t-rational extensions and other concepts of modules are studied.

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ON F-HARMONIC MAPS AND CONVEX FUNCTIONS

  • Kang, Tae-Ho
    • East Asian mathematical journal
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    • v.19 no.2
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    • pp.165-171
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    • 2003
  • We show that any F-harmonic map from a compact manifold M to N is necessarily constant if N possesses a strictly-convex function, and prove 'Liouville type theorems' for F-harmonic maps. Finally, when the target manifold is the real line, we get a result for F-subharmonic functions.

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SOME RESULTS ON FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS

  • Jeong, Won-Kyun
    • East Asian mathematical journal
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    • v.26 no.3
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    • pp.379-387
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    • 2010
  • In this paper, we prove that the extension ideal of a fuzzy characteristic ideal of a positive implicative BCK-algebra is a fuzzy characteristic ideal. We introduce the notion of the extension of intuitionistic fuzzy ideal of BCK-algebras and some properties of fuzzy intuitionistic ideal extensions of BCK-algebra are investigated.