ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (2): 158-166.

ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE

张平健¹, 陈叔平²

1. Division of Mathematics, Guangdong University of Technology, Guangzhou 510090, China;
2. Dept. of Mathematics, Zhejiang University, Hangzhou 310027, China

收稿日期:1996-03-25 修回日期:1996-10-14 出版日期:1998-06-25 发布日期:1998-06-25

ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE

Zhang Pingjian¹, Chen Shuping²

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

摘要/Abstract

摘要： 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.

关键词: Riccati integral equations, Fredholm integral equations, Evolution operators

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

张平健, 陈叔平. ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE[J]. 数学物理学报(英文版), 1998, 18(2): 158-166.

Zhang Pingjian, Chen Shuping. ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE[J]. Acta mathematica scientia,Series B, 1998, 18(2): 158-166.

ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE

ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE

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