• 제목/요약/키워드: mathematical uniqueness

검색결과 421건 처리시간 0.023초

THREE POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER FUZZY DIFFERENTIAL EQUATIONS

  • Murty, M.S.N.;Kumar, G. Suresh
    • 충청수학회지
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    • 제19권1호
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    • pp.101-110
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    • 2006
  • In this paper, we develop existence and uniqueness criteria to certain class of three point boundary value problems associated with third order nonlinear fuzzy differential equations, with the help of Green's functions and contraction mapping principle.

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Singular solutions of semilinear parabolic equations

  • Baek, Geong-Seon;Kwak, Min-Kyu
    • 대한수학회지
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    • 제32권3호
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    • pp.483-492
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    • 1995
  • In this paper we discuss the existence and uniqueness of singular solutions for equations of the form $$ (F) u_t = u{xx} - $\mid$u$\mid$^{q-1} u_x - $\mid$u$\mid$^{p-1}u, p,q > 1, $$ in the domain $Q = {(x,t) : x \in R, t > 0}$. This equation represents a model of diffusion-convection with absorption.

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UNIQUENESS FOR THE NONHARMONIC FOURIER SERIES OF DISTRIBUTIONS

  • Cho, Mun-Ja;Chung, Soon-Yeong
    • 대한수학회논문집
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    • 제13권3호
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    • pp.515-523
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    • 1998
  • We generalize the uniqueness theorem of K.Yoneda[9] for nonharmonic series under a much weaker condition as follows: Let {λ$_{k}$$_{k}$ =$o^{\infty}$ be a discrete sequence in $R^n$. If (equation omitted) = 0 for all x $\in$ $R^n$ and there exists a number N > 0 such that (equation omitted) then$ a_{k}$ = 0 for all k $\in$ $N_{0}$.

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UNIQUENESS THEOREM FOR A MEROMORPHIC FUNCTION AND ITS EXACT DIFFERENCE

  • Chen, Shengjiang;Xu, Aizhu
    • 대한수학회보
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    • 제57권5호
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    • pp.1307-1317
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    • 2020
  • Let f be a nonconstant meromorphic function of hyper order strictly less than 1, and let c be a nonzero finite complex number such that f(z + c) ≢ f(z). We prove that if ∆cf = f(z + c) - f(z) and f share 0, ∞ CM and 1 IM, then ∆cf = f. Our result generalizes and greatly improves the related results.

ON PARTIAL VALUE SHARING RESULTS OF MEROMORPHIC FUNCTIONS WITH THEIR SHIFTS AND ITS APPLICATIONS

  • Noulorvang, Vangty;Pham, Duc Thoan
    • 대한수학회보
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    • 제57권5호
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    • pp.1083-1094
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    • 2020
  • In this paper, we give some uniqueness theorems of nonconstant meromorphic functions of hyper-order less than one sharing partially three or four small periodic functions with their shifts. As an application, some sufficient conditions for periodicity of meromorphic functions are given. Our results improve and extend previous results of W. Lin, X. Lin and A. Wu [11].