On the number of zeros of a mapping (Q1126682)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the number of zeros of a mapping |
scientific article; zbMATH DE number 1183222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of zeros of a mapping |
scientific article; zbMATH DE number 1183222 |
Statements
On the number of zeros of a mapping (English)
0 references
2 August 1998
0 references
It is shown that a constructive proof of the existence of the exact number of zeros of a mapping under smoothness conditions can be derived. This proof uses continuation methods giving the existence of curves reaching zero points. By making the mapping only continuous the existence of at least one zero can be obtained.
0 references
existence theorems
0 references
exact number of zeros of a mapping
0 references
continuation methods
0 references