Existence of solutions to projected differential equations in Hilbert spaces

被引：41

作者：

Cojocaru, MG ^{[1
]}

Jonker, LB ^{[1
]}

机构：

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7M 2W8, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 01期

关键词：

D O I：

10.1090/S0002-9939-03-07015-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of integral curves to the ( discontinuous) vector field that results when a Lipschitz continuous vector field on a Hilbert space of any dimension is projected on a non-empty, closed and convex subset.

引用

页码：183 / 193

页数：11

共 24 条

[11] EXISTENCE THEOREM FOR A CLASS OF DIFFERENTIAL EQUATIONS WITH MULTIVALUED RIGHT-HAND SIDE [J].

HENRY, C .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 41 (01) :179-186

[12]

ISAC G, 1992, LACT NOTES MATH, V1528

[13]

Isac G., 2002, Semin. Fixed Point Theory Cluj-Napoca, V3, P41

[14]

ISAC G, 2002, PROJECTION OPERATOR

[15]

Kinderlehrer D., 1980, PURE APPL MATH, V88

[16] A DYNAMICAL-SYSTEMS APPROACH FOR NETWORK OLIGOPOLIES AND VARIATIONAL-INEQUALITIES [J].

NAGURNEY, A ;

DUPUIS, P ;

ZHANG, D .

ANNALS OF REGIONAL SCIENCE, 1994, 28 (03) :263-283

[17] On the stability of an adjustment process for spatial price equilibrium modeled as a projected dynamical system [J].

Nagurney, A ;

Zhang, D .

JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 1996, 20 (1-3) :43-62

[18] PROJECTED DYNAMICAL-SYSTEMS MODELING AND COMPUTATION OF SPATIAL NETWORK EQUILIBRIA [J].

NAGURNEY, A ;

TAKAYAMA, T ;

ZHANG, D .

NETWORKS, 1995, 26 (02) :69-85

[19]

Nagurney A., 1996, PROJECTED DYNAMICAL

[20]

Nagurney A., 1993, Network Economics: A Variational Inequality Approach

← 1 2 3 →