首页> 外文期刊>Differential and integral equations >HETEROCLINICS FOR NON-AUTONOMOUS SECOND-ORDER DIFFERENTIAL EQUATIONS
【24h】

HETEROCLINICS FOR NON-AUTONOMOUS SECOND-ORDER DIFFERENTIAL EQUATIONS

机译:非自治二阶微分方程的杂临床

获取原文
获取原文并翻译 | 示例
           

摘要

We investigate new conditions for the existence of heteroclinics connecting ±1 for a non-autonomous equation of the formü=a(t)f(u) (1) Where a(t)is a where α(t) is a bounded positive function and f(±1)=O.Here f = F' where F is a C~1 non-negative function such that F(-l) = F(l) = O. We are interested mainly in the case where α(t) approaches its positive limit, as |t|→∞, from above, but we allow also the ("asymptotically asymmetric") case where llimt→一∞ α(t) -limt→+∞ α(t) I is a sufficiently small positive number. Variational methods are used in the proofs.
机译:我们研究了对于形式为ü= a(t)f(u)的非自治方程,±1的异斜率存在的新条件(1)其中a(t)是a,其中α(t)是有界正函数这里f = F',其中F是C〜1的非负函数,因此F(-l)= F(l)=O。我们主要关注α( t)从上方接近| t |→∞的正极限,但我们也允许(“渐近非对称”)情况,其中llimt→一∞α(t)-limt→+∞α(t)I是a足够小的正数。证明中使用变体方法。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号