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Volumn 408, Issue 2, 2013, Pages 669-680

On a new set-valued stochastic integral with respect to semimartingales and its applications

Author keywords

Existence of solution; Fuzzy stochastic differential equation; Fuzzy stochastic integral; Semimartingale; Set valued stochastic integral equation; Set valued stochastic integrals; Stochastic differential inclusion

Indexed keywords


EID: 84881374400     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2013.06.054     Document Type: Article
Times cited : (31)

References (39)
  • 1
    • 84948305154 scopus 로고
    • Nonlinear stochastic differntial inclusions on Banach space
    • Ahmed N.U. Nonlinear stochastic differntial inclusions on Banach space. Stoch. Anal. Appl. 1994, 12:1-10.
    • (1994) Stoch. Anal. Appl. , vol.12 , pp. 1-10
    • Ahmed, N.U.1
  • 2
    • 15444362058 scopus 로고    scopus 로고
    • The viability theorem for stochastic differential inclusions
    • Aubin J.-P., Da Prato G. The viability theorem for stochastic differential inclusions. Stoch. Anal. Appl. 1998, 16:1-15.
    • (1998) Stoch. Anal. Appl. , vol.16 , pp. 1-15
    • Aubin, J.-P.1    Da Prato, G.2
  • 3
  • 5
    • 33748907408 scopus 로고    scopus 로고
    • Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space
    • Balasubramaniam P., Ntouyas S.K. Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space. J. Math. Anal. Appl. 2006, 324:161-176.
    • (2006) J. Math. Anal. Appl. , vol.324 , pp. 161-176
    • Balasubramaniam, P.1    Ntouyas, S.K.2
  • 7
    • 0004353851 scopus 로고
    • Équations différentielles stochastiques multivoques
    • Cépa E. Équations différentielles stochastiques multivoques. Lecture Notes in Math. 1995, vol. 1613:86-107.
    • (1995) Lecture Notes in Math. , vol.1613 , pp. 86-107
    • Cépa, E.1
  • 11
    • 0001577815 scopus 로고
    • Integrals, conditional expectation, and martingales of multivalued functions
    • Hiai F., Umegaki H. Integrals, conditional expectation, and martingales of multivalued functions. J. Multivariate Anal. 1977, 7:149-182.
    • (1977) J. Multivariate Anal. , vol.7 , pp. 149-182
    • Hiai, F.1    Umegaki, H.2
  • 13
    • 0000265612 scopus 로고
    • Properties of solution set of stochastic inclusions
    • Kisielewicz M. Properties of solution set of stochastic inclusions. J. Appl. Math. Stochastic Anal. 1993, 6:217-236.
    • (1993) J. Appl. Math. Stochastic Anal. , vol.6 , pp. 217-236
    • Kisielewicz, M.1
  • 14
    • 34250646280 scopus 로고    scopus 로고
    • Stochastic differential inclusions and diffusion process
    • Kisielewicz M. Stochastic differential inclusions and diffusion process. J. Math. Anal. Appl. 2007, 3334:1039-1054.
    • (2007) J. Math. Anal. Appl. , vol.3334 , pp. 1039-1054
    • Kisielewicz, M.1
  • 15
    • 58549104698 scopus 로고    scopus 로고
    • Stochastic representation of partial differential inclusions
    • Kisielewicz M. Stochastic representation of partial differential inclusions. J. Math. Anal. Appl. 2009, 353:592-606.
    • (2009) J. Math. Anal. Appl. , vol.353 , pp. 592-606
    • Kisielewicz, M.1
  • 16
    • 84855346756 scopus 로고    scopus 로고
    • Some properties of set-valued stochastic integrals
    • Kisielewicz M. Some properties of set-valued stochastic integrals. J. Math. Anal. Appl. 2012, 388:984-995.
    • (2012) J. Math. Anal. Appl. , vol.388 , pp. 984-995
    • Kisielewicz, M.1
  • 18
    • 0040354479 scopus 로고
    • Equations differentielles stochastiques multivoques unidimensionnelles
    • Lépingle D., Marois C. Equations differentielles stochastiques multivoques unidimensionnelles. Lecture Notes Math. 1987, vol. 1247:520-533.
    • (1987) Lecture Notes Math. , vol.1247 , pp. 520-533
    • Lépingle, D.1    Marois, C.2
  • 19
    • 69249232212 scopus 로고    scopus 로고
    • On random fuzzy differential equations
    • Malinowski M.T. On random fuzzy differential equations. Fuzzy Sets and Systems 2009, 160:3152-3165.
    • (2009) Fuzzy Sets and Systems , vol.160 , pp. 3152-3165
    • Malinowski, M.T.1
  • 20
    • 77953962287 scopus 로고    scopus 로고
    • Existence theorems for solutions to random fuzzy differential equations
    • Malinowski M.T. Existence theorems for solutions to random fuzzy differential equations. Nonlinear Anal. TMA 2010, 73:1515-1532.
    • (2010) Nonlinear Anal. TMA , vol.73 , pp. 1515-1532
    • Malinowski, M.T.1
  • 21
    • 84860359608 scopus 로고    scopus 로고
    • ItÔ type stochastic fuzzy differential equations with delay
    • Malinowski M.T. ItÔ type stochastic fuzzy differential equations with delay. Systems Control Lett. 2012, 61:692-701.
    • (2012) Systems Control Lett. , vol.61 , pp. 692-701
    • Malinowski, M.T.1
  • 22
    • 80054884842 scopus 로고    scopus 로고
    • Random fuzzy differential equations under generalized Lipschitz condition
    • Malinowski M.T. Random fuzzy differential equations under generalized Lipschitz condition. Nonlinear Anal. RWA 2012, 13:860-881.
    • (2012) Nonlinear Anal. RWA , vol.13 , pp. 860-881
    • Malinowski, M.T.1
  • 23
    • 84855205569 scopus 로고    scopus 로고
    • Strong solutions to stochastic fuzzy differential equations of ItÔ type
    • Malinowski M.T. Strong solutions to stochastic fuzzy differential equations of ItÔ type. Math. Comput. Modelling 2012, 55:918-928.
    • (2012) Math. Comput. Modelling , vol.55 , pp. 918-928
    • Malinowski, M.T.1
  • 24
    • 84879497160 scopus 로고    scopus 로고
    • Approximation schemes for fuzzy stochastic integral equations
    • Malinowski M.T. Approximation schemes for fuzzy stochastic integral equations. Appl. Math. Comput. 2013, 219:11278-11290.
    • (2013) Appl. Math. Comput. , vol.219 , pp. 11278-11290
    • Malinowski, M.T.1
  • 25
    • 84870768102 scopus 로고    scopus 로고
    • On equations with a fuzzy stochastic integral with respect to semimartingales
    • Springer-Verlag, Berlin, R. Kruse (Ed.) Synergies of Soft Computing and Statistics
    • Malinowski M.T. On equations with a fuzzy stochastic integral with respect to semimartingales. AISC 2013, vol. 190:93-101. Springer-Verlag, Berlin. R. Kruse (Ed.).
    • (2013) AISC , vol.190 , pp. 93-101
    • Malinowski, M.T.1
  • 26
    • 84884289673 scopus 로고    scopus 로고
    • Some properties of strong solutions to stochastic fuzzy differential equations
    • Malinowski M.T. Some properties of strong solutions to stochastic fuzzy differential equations. Inform. Sci. 2013, http://dx.doi.org/10.1016/j.ins.2013.02.053.
    • (2013) Inform. Sci.
    • Malinowski, M.T.1
  • 29
    • 79952031022 scopus 로고    scopus 로고
    • Stochastic fuzzy differential equations with an application
    • Malinowski M.T., Michta M. Stochastic fuzzy differential equations with an application. Kybernetika 2011, 47:123-143.
    • (2011) Kybernetika , vol.47 , pp. 123-143
    • Malinowski, M.T.1    Michta, M.2
  • 30
    • 84861670614 scopus 로고    scopus 로고
    • Set-valued stochastic integral equations driven by martingales
    • Malinowski M.T., Michta M. Set-valued stochastic integral equations driven by martingales. J. Math. Anal. Appl. 2012, 394:30-47.
    • (2012) J. Math. Anal. Appl. , vol.394 , pp. 30-47
    • Malinowski, M.T.1    Michta, M.2
  • 31
    • 84871738887 scopus 로고    scopus 로고
    • Set-valued and fuzzy stochastic differential equations driven by semimartingales
    • Malinowski M.T., Michta M., Sobolewska J. Set-valued and fuzzy stochastic differential equations driven by semimartingales. Nonlinear Anal. TMA 2013, 79:204-220.
    • (2013) Nonlinear Anal. TMA , vol.79 , pp. 204-220
    • Malinowski, M.T.1    Michta, M.2    Sobolewska, J.3
  • 33
    • 79958122301 scopus 로고    scopus 로고
    • On set-valued stochastic integrals and fuzzy stochastic equations
    • Michta M. On set-valued stochastic integrals and fuzzy stochastic equations. Fuzzy Sets and Systems 2011, 177:1-19.
    • (2011) Fuzzy Sets and Systems , vol.177 , pp. 1-19
    • Michta, M.1
  • 34
    • 0005270623 scopus 로고
    • On the solution of stochastic differential inclusion
    • Motyl J. On the solution of stochastic differential inclusion. J. Math. Anal. Appl. 1995, 192:117-132.
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 117-132
    • Motyl, J.1
  • 37
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh L.A. Fuzzy sets. Inf. Control 1965, 8:338-353.
    • (1965) Inf. Control , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 38
    • 33846846259 scopus 로고    scopus 로고
    • Skorohod problem and multivalued stochastic evolution equations in Banach spaces
    • Zhang X. Skorohod problem and multivalued stochastic evolution equations in Banach spaces. Bull. Sci. Math. 2007, 131:175-217.
    • (2007) Bull. Sci. Math. , vol.131 , pp. 175-217
    • Zhang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.