HETEROCLINICS FOR NON AUTONOMOUS THIRD ORDER DIFFERENTIAL EQUATIONS

作者：Bonheure Denis^*; Angel Cid Jose; De Coster Colette; Sanchez Luis

来源：Topological Methods in Nonlinear Analysis, 2014, 43(1): 53-68.

• Third order
• heteroclinic
• boundary value problems in unbounded intervals

We study the existence of heteroclinics connecting the two equilibria +/- 1 of the third order differential equation %26lt;br%26gt;U %26apos;%26apos;%26apos; = f(u) + p(t)u%26apos; %26lt;br%26gt;where f is a continuous function such that f(u)(u(2) - 1) %26gt; 0 if u not equal +/- 1 and p is a bounded non negative function. Uniqueness is also addressed.

• 出版日期2014-3