On the solution set of an equation of the type f(t, ?(u(t)) = 0

✍ Scribed by Naselli, Ornella

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 317 KB
• Volume: 4
• Category: Article
• ISSN: 0927-6947
• DOI: 10.1007/bf00436113

✦ Synopsis

We investigate the solution set r of an equation of the type f(t, O(u)(t)) = 0, where 9 is a linear homeomorphism from a topological vector space X onto L' ('I') and f: 2' x R + R is a Carath&dory function. More precisely, we characterize the property of r of intersecting each closed hyperplane of X.

Mathematics Subject Classifications (1991). 47A50, 28B20, 34AW.