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Volumn 202, Issue 2, 1996, Pages 629-644

Approximate solutions, existence, and uniqueness of the Cauchy problem of fuzzy differential equations

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EID: 0030240875     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0338     Document Type: Article
Times cited : (69)

References (16)
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    • Aumann, R.J.1
  • 2
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    • Some analytic and measure theoretic properties of set-valued mappings
    • 2. M. Bradley and R. Datko, Some analytic and measure theoretic properties of set-valued mappings, SIAM J. Control Optim. 15 (1977), 625-635.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 625-635
    • Bradley, M.1    Datko, R.2
  • 4
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    • Integration of correspondence
    • Univ. California Press, Berkeley, CA
    • 4. G. Debreu, Integration of correspondence, in "Proc. Fifth Berkeley Symp. Math. Statist. Probability," pp. 351-372, Univ. California Press, Berkeley, CA, 1966.
    • (1966) Proc. Fifth Berkeley Symp. Math. Statist. Probability , pp. 351-372
    • Debreu, G.1
  • 5
    • 0020142384 scopus 로고
    • Towards fuzzy differential calculus. Part 1. Integration of fuzzy mappings
    • 5. D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 1. Integration of fuzzy mappings, Fuzzy Sets and Systems 8 (1982), 1-17.
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 1-17
    • Dubois, D.1    Prade, H.2
  • 6
    • 0020168495 scopus 로고
    • Towards fuzzy differential calculus. Part 2. Integration on fuzzy intervals
    • 6. D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 2. Integration on fuzzy intervals, Fuzzy Sets and Systems 8 (1982), 105-116.
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 105-116
    • Dubois, D.1    Prade, H.2
  • 7
    • 0020184062 scopus 로고
    • Towards fuzzy differential calculus. Part 3. Differentiation
    • 7. D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 3. Differentiation, Fuzzy Sets and Systems 8 (1982), 223-233.
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 223-233
    • Dubois, D.1    Prade, H.2
  • 8
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    • Fuzzy differential equations
    • 8. O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems 24 (1987), 301-317.
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 301-317
    • Kaleva, O.1
  • 9
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    • The Cauchy problem for fuzzy differential equations
    • 9. O. Kaleva, The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems 35 (1990), 389-396.
    • (1990) Fuzzy Sets and Systems , vol.35 , pp. 389-396
    • Kaleva, O.1
  • 13
    • 0001237908 scopus 로고
    • Differentials of fuzzy functions
    • 13. M. L. Puri and D. A. Ralescu, Differentials of fuzzy functions, J. Math. Anal. Appl. 91 (1983), 552-558.
    • (1983) J. Math. Anal. Appl. , vol.91 , pp. 552-558
    • Puri, M.L.1    Ralescu, D.A.2
  • 15
    • 84968480766 scopus 로고
    • An embedding theorem for spaces of convex set
    • 15. H. Rådström, An embedding theorem for spaces of convex set, Proc. Amer. Math. Soc. 3 (1952), 165-169.
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    • Rådström, H.1
  • 16
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    • On the fuzzy initial value problem
    • 16. S. Seikkala, On the fuzzy initial value problem, Fuzzy Sets and Systems 24 (1987), 319-330.
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 319-330
    • Seikkala, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.