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Volumn 26, Issue 1, 2008, Pages 16-28

The method of upper and lower solutions of stochastic differential equations and applications

Author keywords

Fixed points; Lower and upper solutions; Risk models; Semi martingales; Stochastic differential equations

Indexed keywords


EID: 37749009109     PISSN: 07362994     EISSN: 15329356     Source Type: Journal    
DOI: 10.1080/07362990701670217     Document Type: Article
Times cited : (6)

References (16)
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  • 2
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  • 4
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    • A new proof for comparison theorems for stochastic differential inequalities with respect to semimartingales
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    • Ding, X.1    Wu, R.2
  • 6
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    • On stochastic equations with respect to semimartingales I
    • Gyongy, I., and Krylov, N.V. 1980. On stochastic equations with respect to semimartingales I. Stochastics 4:1-21.
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    • Gyongy, I.1    Krylov, N.V.2
  • 7
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    • On fixed points of multivantions in ordered spaces
    • Heikkila, S., and Hu, S. 1993. On fixed points of multivantions in ordered spaces. Applicable Analysis 51:115-127.
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    • Heikkila, S.1    Hu, S.2
  • 8
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    • A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient
    • doi: 10.1155/JAMSA/2006173257
    • Halidias, N., and Kloeden, P. 2006. A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient. Journal of Applied Mathematics and Stochastic Analysis. doi: 10.1155/JAMSA/2006173257.
    • (2006) Journal of Applied Mathematics and Stochastic Analysis
    • Halidias, N.1    Kloeden, P.2
  • 10
    • 85011156419 scopus 로고    scopus 로고
    • Ruin probabilities for insurance models involving investments
    • Ma, J., and Sun, X. 2003. Ruin probabilities for insurance models involving investments. Scandinavian Actuarial Journal 3:217-237.
    • (2003) Scandinavian Actuarial Journal , vol.3 , pp. 217-237
    • Ma, J.1    Sun, X.2
  • 11
    • 0004296091 scopus 로고    scopus 로고
    • Existence of solutions of set-valued Ito equation
    • Motyl, J. 1998. Existence of solutions of set-valued Ito equation. Bulletin of the Polish Science Academy 46(4):419-430.
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  • 12
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    • Calculation of ruin probabilities when the premium depends on the current reserve
    • Petersen, S.S. 1989. Calculation of ruin probabilities when the premium depends on the current reserve. Scandinavian Actuarial Journal 3:147-159.
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  • 13
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    • A connection between the expansion of nitrations and Girsanov's theorem
    • Stochastic Partial Differential Equations, Springer, Berlin
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    • Protter, P.1
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    • Grossissement de Filiations et Absolue Continuite de Noyaux
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    • Yor, M. 1985. Grossissement de Filiations et Absolue Continuite de Noyaux. Lecture Notes in Mathematics, vol. 1118. Springer, Berlin, pp. 6-15.
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    • Yor, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.