期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
卷 7, 期 4, 页码 593-616出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2014.7.593
关键词
Non Archimedean Mathematics; Non Standard Analysis; ultrafunctions; generalized solutions; critical points; differential operator; boundary value problem; material point
资金
- Austrian Science Fund FWF [P25311-N25]
- Austrian Science Fund (FWF) [P25311] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [P 25311] Funding Source: researchfish
This paper deals with a new kind of generalized functions, called ultrafunctions, which have been introduced recently in [5] and developed in [10] and [11]. Their peculiarity is that they are based on a Non Archimedean field, namely on a field which contains infinite and infinitesimal numbers. Ultrafunctions have been introduced to provide generalized solutions to equations which do not have any solutions, not even among the distributions. Some applications of this kind will be presented in the second part of this paper.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据