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Special formal series solutions of linear operator equations

✍ Scribed by Sergei A. Abramov; Marko Petkovšek; Anna Ryabenko

Book ID: 108316373
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 171 KB
Volume: 210
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(99)00118-1

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In a recent paper, H. Amann and E. Zehnder [ 11 studied existence problems for equations of the form (1) in a real Hilbert space H. Here A is a selfadjoint linear operator and F is a potential operator, mapping H continuously into itself. It is well known that equation ( 1) is a good framework for