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GENERALIZED DEGREE THEORY FOR SEMILINEAR OPERATOR EQUATIONS

Published online by Cambridge University Press:  24 March 2006

YUQING CHEN  and
DONAL O'REGAN
YUQING CHEN
Affiliation:
Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P. R. China e-mail: yqchen@foshan.net
DONAL O'REGAN
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland e-mail: donal.oregan@nuigalway.ie
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Abstract

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In this paper, we construct a generalized degree theory of Browder-Petryshyn or Petryshyn type for a class of semilinear operator equations involving a Fredholm type mapping with infinite dimensional kernel.

Keywords

Primary 47H0547H11Secondary 35L0555M25
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 65 - 73
Copyright
2006 Glasgow Mathematical Journal Trust