Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (4): 461-474.

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

Hu Yaozhong   

  1. 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.

Abstract: 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.

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