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Volumn 47, Issue 5, 2002, Pages 433-444

A stochastic maximum principle for systems with jumps, with applications to finance

Author keywords

Adjoint equation; Backward stochastic differential equations; Consumption investment problem; Convex analysis; Stochastic control; Stochastic maximum principle

Indexed keywords

DIFFERENTIAL EQUATIONS; INVESTMENTS; LINEAR CONTROL SYSTEMS; PROBLEM SOLVING; RANDOM PROCESSES; THEOREM PROVING;

EID: 0037121523     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00231-1     Document Type: Article
Times cited : (28)

References (13)
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    • Cadenillas, A.1    Haussmann, U.G.2
  • 3
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    • The stochastic maximum principle for linear, convex optimal control with random coefficients
    • Cadenillas A., Karatzas I. The stochastic maximum principle for linear, convex optimal control with random coefficients. SIAM J. Control Optim. 33:1995;590-624.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 590-624
    • Cadenillas, A.1    Karatzas, I.2
  • 7
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    • Optimal portfolio for a small investor in a market model with discontinuous prices
    • Jeanblanc-Picqué M., Pontier M. Optimal portfolio for a small investor in a market model with discontinuous prices. Appl. Math. Optim. 22:1990;287-310.
    • (1990) Appl. Math. Optim. , vol.22 , pp. 287-310
    • Jeanblanc-Picqué, M.1    Pontier, M.2
  • 8
    • 0011223563 scopus 로고
    • A minimum principle for controlled jump processes
    • Springer, Berlin
    • R. Rishel, A minimum principle for controlled jump processes, in: Lecture Notes in Economics and Mathematical Sciences, Vol. 107, Springer, Berlin, 1975, pp. 493-508.
    • (1975) Lecture Notes in Economics and Mathematical Sciences , vol.107 , pp. 493-508
    • Rishel, R.1
  • 9
    • 0011173742 scopus 로고
    • Necessary optimality conditions for linear control problems of jump processes
    • CEMI, Academy of Science USSR, Moscow, in Russian
    • M. Saksonov, Necessary optimality conditions for linear control problems of jump processes, in: Analysis in Probability for Control Problems of Economical Processes, CEMI, Academy of Science USSR, Moscow, 1985, pp. 117-130 (in Russian).
    • (1985) Analysis in Probability for Control Problems of Economical Processes , pp. 117-130
    • Saksonov, M.1
  • 10
    • 0011232409 scopus 로고
    • On a jump process control under the finite-dimensional constraints
    • CEMI, Academy of Science USSR, Moscow, in Russian
    • M. Saksonov, On a jump process control under the finite-dimensional constraints, in: Mathematical Modeling for Control Processes under Uncertainty Conditions, CEMI, Academy of Science USSR, Moscow, 1987, pp. 101-119 (in Russian).
    • (1987) Mathematical Modeling for Control Processes under Uncertainty Conditions , pp. 101-119
    • Saksonov, M.1
  • 11
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    • Necessary conditions for optimal control of stochastic systems with random jumps
    • Tang S., Li X. Necessary conditions for optimal control of stochastic systems with random jumps. SIAM J. Control Optim. 32:1994;1447-1475.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1447-1475
    • Tang, S.1    Li, X.2
  • 12
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    • Martingale representation for a class of processes with independent increments, and its applications
    • Springer, Berlin
    • X.X. Xue, Martingale representation for a class of processes with independent increments, and its applications, in: Lecture Notes in Control and Information Sciences, Vol. 177, Springer, Berlin, 1992, pp. 279-311.
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    • Xue, X.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.