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Volumn 230, Issue , 2013, Pages 65-81

Fuzzy differential equations without fuzzy convexity

Author keywords

Differential inclusions; Existence and uniqueness theorem; Fuzzy differential equations; Morphological equations; Nonlocal set valued evolution equations

Indexed keywords

SET THEORY;

EID: 84884675846     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2012.01.012     Document Type: Article
Times cited : (15)

References (32)
  • 2
    • 0002087156 scopus 로고
    • Mutational equations in metric spaces
    • J.-P. Aubin, Mutational equations in metric spaces, Set-Valued Anal. 1 (1993) 3-46.
    • (1993) Set-Valued Anal. , vol.1 , pp. 3-46
    • Aubin, J.-P.1
  • 11
    • 0002208128 scopus 로고    scopus 로고
    • Regularity of solution sets for differential inclusions quasi-concave in a parameter
    • P. Diamond, P. Watson, Regularity of solution sets for differential inclusions quasi-concave in a parameter, Appl. Math. Lett. 13 (2000) 31-45.
    • (2000) Appl. Math. Lett. , vol.13 , pp. 31-45
    • Diamond, P.1    Watson, P.2
  • 13
    • 0032027444 scopus 로고    scopus 로고
    • Stability and Euler approximations of one-sided Lipschitz differential inclusions
    • T. Donchev, E. Farkhi, Stability and Euler approximations of one-sided Lipschitz differential inclusions, SIAM J. Control Optim. 36 (1998) 780-796.
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 780-796
    • Donchev, T.1    Farkhi, E.2
  • 15
    • 33645938772 scopus 로고
    • Measurable functions and almost continuous functions
    • D. H. Fremlin, Measurable functions and almost continuous functions, Manuscr. Math. 33 (1980/81) 387-405.
    • (1980) Manuscr. Math. , vol.33 , pp. 387-405
    • Fremlin, D.H.1
  • 16
    • 0002594297 scopus 로고    scopus 로고
    • An approach to modelling and simulation of uncertain dynamical systems
    • E. Hüllermeier, An approach to modelling and simulation of uncertain dynamical systems, Int. J. Uncertain. Fuzziness Knowledge-Based Syst. 5 (2) (1997) 117-137.
    • (1997) Int. J. Uncertain. Fuzziness Knowledge-Based Syst. , vol.5 , Issue.2 , pp. 117-137
    • Hüllermeier, E.1
  • 17
    • 84989839437 scopus 로고
    • Compact supported endographs and fuzzy sets
    • P. E. Kloeden, Compact supported endographs and fuzzy sets, J. Fuzzy Sets Syst. 4 (1980) 193-201.
    • (1980) J. Fuzzy Sets Syst. , vol.4 , pp. 193-201
    • Kloeden, P.E.1
  • 18
    • 0020135165 scopus 로고
    • Fuzzy dynamical systems
    • P. E. Kloeden, Fuzzy dynamical systems, J. Fuzzy Sets Syst. 7 (1982) 275-296.
    • (1982) J. Fuzzy Sets Syst. , vol.7 , pp. 275-296
    • Kloeden, P.E.1
  • 19
    • 80051933351 scopus 로고    scopus 로고
    • Stochastic morphological evolution equations
    • P. E. Kloeden, T. Lorenz, Stochastic morphological evolution equations, J. Differ. Equat. 251 (2011) 2950-2979.
    • (2011) J. Differ. Equat. , vol.251 , pp. 2950-2979
    • Kloeden, P.E.1    Lorenz, T.2
  • 21
    • 0036885474 scopus 로고    scopus 로고
    • Quasi-flows and equations with nonlinear differentials
    • P. E. Kloeden, B. N. Sadovsky, I. E. Vasilyeva, Quasi-flows and equations with nonlinear differentials, Nonlinear Anal. 51 (2002) 1143-1158.
    • (2002) Nonlinear Anal. , vol.51 , pp. 1143-1158
    • Kloeden, P.E.1    Sadovsky, B.N.2    Vasilyeva, I.E.3
  • 24
    • 4544271428 scopus 로고    scopus 로고
    • Differential equations in metric spaces: An introduction and an application to fuzzy differential equations
    • V. Lakshmikantham, J. J. Nieto, Differential equations in metric spaces: an introduction and an application to fuzzy differential equations, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003) 991-1000.
    • (2003) Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. , vol.10 , pp. 991-1000
    • Lakshmikantham, V.1    Nieto, J.J.2
  • 25
    • 0041387380 scopus 로고    scopus 로고
    • Existence and interrelation between set and fuzzy differential equations
    • V. Lakshmikantham, A. A. Tolstonogov, Existence and interrelation between set and fuzzy differential equations, Nonlinear Anal. 55 (2003) 255-268.
    • (2003) Nonlinear Anal. , vol.55 , pp. 255-268
    • Lakshmikantham, V.1    Tolstonogov, A.A.2
  • 26
    • 77953173733 scopus 로고    scopus 로고
    • Mutational analysis: A joint framework for cauchy problems in and beyond vector spaces
    • Springer
    • T. Lorenz, Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces, Lecture Notes in Mathematics 1996, Springer, 2010.
    • (1996) Lecture Notes in Mathematics
    • Lorenz, T.1
  • 27
    • 79251507626 scopus 로고    scopus 로고
    • Morphological control problems with state constraints
    • T. Lorenz, Morphological control problems with state constraints, SIAM J. Control Optim. 48 (2010) 5510-5546.
    • (2010) SIAM J. Control Optim. , vol.48 , pp. 5510-5546
    • Lorenz, T.1
  • 28
    • 21344445449 scopus 로고
    • Quasidifferential equations in a complete metric space under conditions of the Caratheodory type. I
    • A. I. Panasyuk, Quasidifferential equations in a complete metric space under conditions of the Caratheodory type. I, Differ. Equat. 31 (1995) 901-910.
    • (1995) Differ. Equat. , vol.31 , pp. 901-910
    • Panasyuk, A.I.1
  • 29
    • 0000286139 scopus 로고
    • Quasidifferential equations in metric spaces
    • A. I. Panasyuk, Quasidifferential equations in metric spaces, Differ. Equat. 21 (1985) 914-921.
    • (1985) Differ. Equat. , vol.21 , pp. 914-921
    • Panasyuk, A.I.1
  • 32
    • 0345991735 scopus 로고
    • Equation of the solution funnel of a differential inclusion
    • A. A. Tolstonogov, Equation of the solution funnel of a differential inclusion, Math. Notes 32 (1983) 908-914.
    • (1983) Math. Notes , vol.32 , pp. 908-914
    • Tolstonogov, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.