On infinite dimensional Riccati integral equations with all coefficients indefinite

被引：0

作者：

Zhang, PJ

Chen, SP

机构：

[1] Guangzhou Univ Technol, Div Math, Guangzhou 510090, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 1998年 / 18卷 / 02期

关键词：

Riccati integral equations; Fredholm integral equations; evolution operators;

D O I：

10.1016/S0252-9602(17)30748-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：158 / 166

页数：9

共 50 条

[21] Equivalence of Riccati Equations with Periodic Coefficients
V. Yu. Tyshchenko
Differential Equations, 2003, 39 : 604 - 606
[22] Riccati Differential Equations with Elliptic Coefficients
Ishizaki K.
Laine I.
Shimomura S.
Tohge K.
Results in Mathematics, 2000, 38 (1-2) : 58 - 71
[23] REMARKS ON INFINITE DIMENSIONAL RICCATI EQUATION
FALB, PL
KLEINMAN, DL
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (03) : 534 - &
[24] INFINITE-DIMENSIONAL RICCATI EQUATION
CURTAIN, RF
PRITCHARD, AJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (01) : 43 - 57
[25] SOLVABILITY OF INFINITE-DIMENSIONAL ELLIPTIC EQUATIONS WITH CONSTANT COEFFICIENTS
FELLER, MN
DOKLADY AKADEMII NAUK SSSR, 1974, 214 (01): : 59 - 62
[26] SOLVABILITY OF INFINITE-DIMENSIONAL ELLIPTIC EQUATIONS WITH VARIABLE COEFFICIENTS
FELLER, MN
MATHEMATICAL NOTES, 1979, 25 (3-4) : 221 - 224
[27] WELL POSEDNESS OF OPERATOR VALUED BACKWARD STOCHASTIC RICCATI EQUATIONS IN INFINITE DIMENSIONAL SPACES
Guatteri, Giuseppina
Tessitore, Gianmario
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (06) : 3776 - 3806
[28] A max-plus based fundamental solution for a class of infinite dimensional Riccati equations
Dower, Peter M.
McEneaney, William M.
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 615 - 620
[29] A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems
Iftime, OV
Zwart, HJ
Curtain, RF
INTERNATIONAL JOURNAL OF CONTROL, 2005, 78 (07) : 505 - 520
[30] On maximal solution to infinite dimensional perturbed Riccati differential equations arising in stochastic control
Baczynski, J
Fragoso, MD
PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 1257 - 1262

← 1 2 3 4 5 →