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Volumn 38, Issue 3, 1998, Pages 327-352

A pair of explicitly solvable singular stochastic control problems

Author keywords

Confluent hypergeometric function; Local times; Modified Bessel functions; Singular stochastic control; Variational inequality

Indexed keywords

CONTROL; FUNCTION EVALUATION; MATHEMATICAL MODELS; RANDOM PROCESSES; THEOREM PROVING;

EID: 0032210101     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002459900094     Document Type: Article
Times cited : (24)

References (24)
  • 4
    • 84981696793 scopus 로고
    • Multi-dimensional finite-fuel singular stochastic control
    • Bridge DS, Shreve SE (1992) Multi-dimensional finite-fuel singular stochastic control. Lecture Notes Control Inform Sci 177:38-58
    • (1992) Lecture Notes Control Inform Sci , vol.177 , pp. 38-58
    • Bridge, D.S.1    Shreve, S.E.2
  • 5
    • 0022162124 scopus 로고
    • Additive control of stochastic linear systems with finite horizon
    • Chow PL, Menaldi JL, Robin M (1985) Additive control of stochastic linear systems with finite horizon. SIAM J Control Optim 23:858-899
    • (1985) SIAM J Control Optim , vol.23 , pp. 858-899
    • Chow, P.L.1    Menaldi, J.L.2    Robin, M.3
  • 7
    • 33645432073 scopus 로고
    • On the existence and unicity of solutions of stochastic integral equations
    • Doléans-Dade C (1976) On the existence and unicity of solutions of stochastic integral equations. Z Wahrsch Verw Gebiete 36:93-101
    • (1976) Z Wahrsch Verw Gebiete , vol.36 , pp. 93-101
    • Doléans-Dade, C.1
  • 8
    • 0001131166 scopus 로고
    • Un problème de réflexion et ses applications au temps local at eux équations différentielles stochastiques sur ℝ, cas continu
    • El Karoui N, Chaleyat-Maurel M (1978) Un problème de réflexion et ses applications au temps local at eux équations différentielles stochastiques sur ℝ, cas continu. Astérisque, 52-53:117-144
    • (1978) Astérisque , vol.52-53 , pp. 117-144
    • El Karoui, N.1    Chaleyat-Maurel, M.2
  • 10
    • 0020798744 scopus 로고
    • Instantaneous control of Brownian motion
    • Harrison JM, Taksar MI (1983) Instantaneous control of Brownian motion. Math Oper Res 8:439-453
    • (1983) Math Oper Res , vol.8 , pp. 439-453
    • Harrison, J.M.1    Taksar, M.I.2
  • 12
    • 0001437093 scopus 로고
    • A class of singular stochastic control problems
    • Karatzas I (1983) A class of singular stochastic control problems. Adv in Appl Probab 15:225-254
    • (1983) Adv in Appl Probab , vol.15 , pp. 225-254
    • Karatzas, I.1
  • 15
    • 84990576543 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions
    • Lions PL, Sznitman AS (1984) Stochastic differential equations with reflecting boundary conditions. Comm Pure Appl Math 37:511-537
    • (1984) Comm Pure Appl Math , vol.37 , pp. 511-537
    • Lions, P.L.1    Sznitman, A.S.2
  • 16
    • 0026898459 scopus 로고
    • On the principle of smooth fit for a class of singular stochastic control problems for diffusions
    • Ma J (1992) On the principle of smooth fit for a class of singular stochastic control problems for diffusions. SIAM J Control Optim 30:975-999
    • (1992) SIAM J Control Optim , vol.30 , pp. 975-999
    • Ma, J.1
  • 18
    • 0001339314 scopus 로고
    • Un cours sur les intégrales stochastiques
    • Séminaire de Probabilités X Springer-Verlag, Berlin
    • Meyer PA (1976) Un cours sur les intégrales stochastiques. Séminaire de Probabilités X. Lecture Notes in Mathematics 511. Springer-Verlag, Berlin
    • (1976) Lecture Notes in Mathematics , vol.511
    • Meyer, P.A.1
  • 20
    • 0021132556 scopus 로고
    • Optimal consumption for general diffusions with absorbing and reflecting barriers
    • Shreve SE, Lehoczky JP, Gavers DP (1984) Optimal consumption for general diffusions with absorbing and reflecting barriers. SIAM J Control Optim 22:55-75
    • (1984) SIAM J Control Optim , vol.22 , pp. 55-75
    • Shreve, S.E.1    Lehoczky, J.P.2    Gavers, D.P.3
  • 21
    • 0024702833 scopus 로고
    • Regularity of the value function for a two-dimensional singular stochastic control problem
    • Soner HM, Shreve SE (1989) Regularity of the value function for a two-dimensional singular stochastic control problem. SIAM J Control Optim 27:876-907
    • (1989) SIAM J Control Optim , vol.27 , pp. 876-907
    • Soner, H.M.1    Shreve, S.E.2
  • 22
    • 0039551499 scopus 로고
    • Singular control problems in bounded intervals
    • Sun M (1987) Singular control problems in bounded intervals. Stochastics 21:303-344
    • (1987) Stochastics , vol.21 , pp. 303-344
    • Sun, M.1
  • 24
    • 0012270784 scopus 로고
    • Generalized solution in singular stochastic control: The nondegenerate problem
    • Zhu H (1992) Generalized solution in singular stochastic control: the nondegenerate problem. Appl Math Optim 25:225-245
    • (1992) Appl Math Optim , vol.25 , pp. 225-245
    • Zhu, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.