Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (2): 158-166.

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ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE

Zhang Pingjian1, Chen Shuping2   

  1. 1. Division of Mathematics, Guangdong University of Technology, Guangzhou 510090, China;
    2. Dept. of Mathematics, Zhejiang University, Hangzhou 310027, China
  • Received:1996-03-25 Revised:1996-10-14 Online:1998-06-25 Published:1998-06-25

Abstract: Infinite dimensional Riccati integral equations with all coefficients indefinite are studied in this paper. Relationship between this sort of Riccati integral equations and Fredholm integral equations is established.

Key words: Riccati integral equations, Fredholm integral equations, Evolution operators

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