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Within white noise approach, we study the existence and uniqueness of the solution of an initial value problem for generalized white noise functionals, and then as a corollary we discuss the linear stochastic differential equation associated with a convolution of white noise functionals.
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참고문헌 (20)
참고문헌 신청
M. Ben Chrouda / 2002 / Convolution calculus and applications to stochastic differential equations / Soochow J. Math 28:375~388
W. G. Cochran / 1998 / A new class of white noise generalized functions / Infin. Dimens. Anal. Quantum Probab. Relat. Top 1:43~67
P. Hartman / 1982 / Ordinary Differential Equations (second edition) / BirkhÄauser
T. Hida / Analysis of Brownian Functionals / Carleton Math. Lect. Notes 3:241~272
T. Hida / 1993 / White Noise: An In¯nite Di-mensional Calculus / Kluwer Academic Publishers
W. G. Cochran / 1998 / A new class of white noise generalized functions / Infin. Dimens. Anal. Quantum Probab. Relat. Top 1:43~67
P. Hartman / 1982 / Ordinary Differential Equations (second edition) / BirkhÄauser
T. Hida / Analysis of Brownian Functionals / Carleton Math. Lect. Notes 3:241~272
T. Hida / 1993 / White Noise: An In¯nite Di-mensional Calculus / Kluwer Academic Publishers
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