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Fixed point index and solutions of differential equations in Banach spaces

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Indexed by:期刊论文

Date of Publication:2004-11-01

Journal:INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS

Included Journals:Scopus、SCIE

Volume:35

Issue:11

Page Number:1255-1264

ISSN No.:0019-5588

Key Words:fixed point index; completely continuous operators; stirct k-set contractions; ordinary differential equations in Banach spaces

Abstract:In reflexive Banach spaces by constructing homotopies, we present a formula for the computation of the fixed point index for completely continuous operators by the Solutions of the corresponding ordinary differential equations. The formula is then used to obtain fixed points for completely continuous operators defined on cones.

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