PERIODIC-SOLUTIONS OF HAMILTONIAN-SYSTEMS OF 3-BODY TYPE

被引：129

作者：

BAHRI, A

RABINOWITZ, PH

机构：

[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

[2] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706

[3] UNIV WISCONSIN,CTR MATH SCI,MADISON,WI 53706

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1991年 / 8卷 / 06期

关键词：

3-BODY PROBLEM; PERIODIC SOLUTION; COLLISION; GENERALIZED T-PERIODIC SOLUTION;

D O I：

10.1016/S0294-1449(16)30252-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the question of the existence of periodic solutions of Hamiltonian systems of the form: [GRAPHICS] with V (t, xi) T-periodic in t and singular at xi = 0. Under hypotheses on V of 3-body type, we prove that the functional corresponding to (star) has an unbounded sequence of critical points provided that the singularity of V at 0 is strong enough.

引用

页码：561 / 649

页数：89

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AMBROSETTI A, IN PRESS CRITICAL PO

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