THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC DIFFERENTIAL EQUATION IN BANACH SPACES I

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (4): 461-474.

THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC DIFFERENTIAL EQUATION IN BANACH SPACES I

胡耀忠

Wuhan Inst. of Math. Sci., Chin. Acad. of Sci., Wuhan 430071, China

收稿日期:1990-11-22 修回日期:1993-09-15 出版日期:1994-12-25 发布日期:1994-12-25
基金资助:
Work supported by National Natural Science Foundation of China.

THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC DIFFERENTIAL EQUATION IN BANACH SPACES I

Hu Yaozhong

Wuhan Inst. of Math. Sci., Chin. Acad. of Sci., Wuhan 430071, China

Received:1990-11-22 Revised:1993-09-15 Online:1994-12-25 Published:1994-12-25
Supported by:
Work supported by National Natural Science Foundation of China.

摘要/Abstract

摘要： In this paper we will first get some results about Banach valued stochastic integral.Then we will discuss the linear stochastic equations of evolution with random coefficients,and obtain the existence and uniqueness theorem as well as the perturbation theorem.

胡耀忠. THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC DIFFERENTIAL EQUATION IN BANACH SPACES I[J]. 数学物理学报(英文版), 1994, 14(4): 461-474.

Hu Yaozhong. THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC DIFFERENTIAL EQUATION IN BANACH SPACES I[J]. Acta mathematica scientia,Series B, 1994, 14(4): 461-474.

THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC DIFFERENTIAL EQUATION IN BANACH SPACES I

THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC DIFFERENTIAL EQUATION IN BANACH SPACES I

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