AN ABSTRACT EXISTENCE THEOREM AT RESONANCE AND ITS APPLICATIONS

Authors
MA SW WANG ZC YU JS
Citation
Sw. Ma et al., AN ABSTRACT EXISTENCE THEOREM AT RESONANCE AND ITS APPLICATIONS, Journal of differential equations, 145(2), 1998, pp. 274-294
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
145
Issue
2
Year of publication
1998
Pages
274 - 294
Database
ISI
SICI code
0022-0396(1998)145:2<274:AAETAR>2.0.ZU;2-U
Abstract
By using Brouwer degree theory and a continuation theorem based on Maw hin's coincidence degree, an abstract existence theorem at resonance f or operator equations is developed. As applications of this result, so me sufficient conditions are given for the existence of periodic solut ions of semilinear equations at resonance where the kernel of the line ar part has dimension N(N greater than or equal to 2). The results due to Nagle and Sinkala are generalized, improved, and unified. (C) 1998 Academic Press.