Asymptotic behavior of solutions of fuzzy differential equations (Q1282596)

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scientific article; zbMATH DE number 1274372
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Asymptotic behavior of solutions of fuzzy differential equations
scientific article; zbMATH DE number 1274372

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    Asymptotic behavior of solutions of fuzzy differential equations (English)
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    11 July 1999
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    Applying the Radstrom embedding theorem, the authors introduce first the machinery of the theory of regular fuzzy sets in a reflexive Banach space. Next, it is proved a few theorems on the asymptotic behavior of solutions to the fuzzy differential equation \(d\varphi/ds= F(s,\varphi(s))\), \(\varphi(0)= 0\). The method of successive approximation is the main tool used in the considerations.
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    fuzzy differential equations
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    Radstrom embedding theorem
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    asymptotic behavior
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    solutions
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