SUBHARMONIC SOLUTIONS OF CONSERVATIVE-SYSTEMS WITH NONCONVEX POTENTIALS

被引：33

作者：

FONDA, A ^{[1
]}

LAZER, AC ^{[1
]}

机构：

[1] UNIV MIAMI,DEPT MATH & COMP SCI,CORAL GABLES,FL 33124

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 01期

关键词：

CRITICAL POINT; SADDLE POINT THEOREM; PALAIS-SMALE CONDITION;

D O I：

10.2307/2159584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the system of second order differential equations u" + del G(u) = e(t) = e(t + T), where the potential G: R(n) --> R is not necessarily convex. Using critical point theory, we give conditions under which the system has infinitely many subharmonic solutions.

引用

页码：183 / 190

页数：8

共 16 条

[1]

[Anonymous], 1933, ANN MATH PURE APPL

[2] A BIRKHOFF-LEWIS TYPE RESULT FOR A CLASS OF HAMILTONIAN-SYSTEMS [J].