• Title/Summary/Keyword: existence theorems

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MULTIPLE SOLUTIONS FOR CERTAIN NONLINEAR SECOND-ORDER SYSTEMS

  • Tian, Yu;Ge, Weigao
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.353-361
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    • 2007
  • In this paper, we prove the existence of multiple solutions for Neumann and periodic problems. Our main tools are recent general multiplicity theorems proposed by B. Ricceri.

Characterization of the Smoothest Density with Given Moments

  • Hong, Changkon
    • Journal of the Korean Statistical Society
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    • v.30 no.3
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    • pp.367-385
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    • 2001
  • In this paper, we characterize the smoothest density with prescribed moments. Hong and Kim(1995) proved the existence and uniqueness of such as density. we introduce the general optimal control problem and prove some theorems on the characterization of the minimizer using the optimal control problem techniques.

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FUNDAMENTAL THEOREM FOR LIGHTLIKE CURVES

  • Jin, Dae-Ho
    • The Pure and Applied Mathematics
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    • v.10 no.1
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    • pp.13-23
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    • 2003
  • The purpose of this paper is to prove the fundamental existence and uniqueness theorems for lightlike curves in a 6-dimensional semi-Euclidean space Rq of index q, since the general n-dimensional cases are too complicated.

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The Origin and Recent History for Fuzzy Equations

  • Park, Q-Heung;Lee, Sunyoung
    • Journal for History of Mathematics
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    • v.16 no.2
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    • pp.117-128
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    • 2003
  • We investigate the origin and recent history for fuzzy equations. And we introduce the existence theorems of solutions for the fuzzy differential equation with infinite delays and fuzzy functional integral equations. We will also recent researches for controllability of sobolev-type semilinear integro-differential fuzzy system.

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