GLOBAL UNIQUENESS OF HOMOCLINIC ORBITS FOR A CLASS OF 4TH ORDER EQUATIONS

被引：13

作者：

AMICK, CJ ^{[1
]}

TOLAND, JF ^{[1
]}

机构：

[1] UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1992年 / 43卷 / 04期

关键词：

D O I：

10.1007/BF00946252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show the global existence and uniqueness of certain orbits homoclinic to the zero stationary solution of the fourth order equation ax"" + beta-x" + gamma-x + k(x) = 0, x > 0, (0) when alpha, gamma > 0 > beta, dk/dx < 0 for x > 0 and k(0) = 0. The existence problem is approached via the general theory of [1] and uniqueness follows from the Maximum Principle and some geometrical observations about the role of convexity. There are no small amplitude assumptions.

引用

页码：591 / 597

页数：7

共 11 条

[1] POINTS OF EGRESS IN PROBLEMS OF HAMILTONIAN-DYNAMICS [J].