NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF BOUNDED OR ALMOST-PERIODIC SOLUTIONS FOR DIFFERENTIAL SYSTEMS WITH CONVEX POTENTIAL

被引：0

作者：

Cieutat, Philippe ^{[1
]}

机构：

[1] Univ Versailles St Quentin En Yvelines, Lab Math Appl, F-78035 Versailles, France

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2005年 / 18卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give necessary and sufficient conditions for the existence and uniqueness of bounded or almost-periodic solutions of the first-order differential system: u' + del Phi(u) = e(t), when del Phi denotes the gradient of a convex function on R-N. We also study the relations of continuity between the forcing term e and the solution u. Then we give similar results for the second-order differential system: u '' = del Phi(u) + e(t).

引用

页码：361 / 378

页数：18

共 19 条

[1]

Aftabizadeh A.R., 1982, LIBERTAS MATH, V2, P121

[2] Global asymptotic stability of a forced newtonian system with dissipation [J].

Alonso, JM ;

Ortega, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (03) :965-986

[3]

[Anonymous], 1981, LECT NOTES MATH

[4] FORCED QUASI-PERIODIC AND ALMOST-PERIODIC SOLUTION FOR NONLINEAR-SYSTEMS [J].

BERGER, MS ;

CHEN, YY .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (12) :949-965

[5]

BIROLI M, 1972, RIC MAT, V21, P17

[6]

Blot J., 1997, ADV DIFFER EQU-NY, V2, P693

[7]

BREZIS H., 1973, North-Holland Math. Stud., V5

[8] Forced systems with almost periodic and quasiperiodic forcing term [J].

Carminati, C .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (06) :727-739

[9] Almost periodic solutions of second-order systems with monotone fields on a compact subset [J].

Cieutat, P .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (06) :751-763

[10]

Corduneanu, 1980, TOHOKU MATH J, V32, P265

← 1 2 →