Maximal Monotone Operators and Nonlinear Integral Equations of Hammerstein Type

Felix E. Browder, Djairo G. de Figueiredo and Chaitan P. Gupta
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Felix E. Browder: University of Chicago
Djairo G. de Figueiredo: University of Illinois
Chaitan P. Gupta: Northern Illinois University

A chapter in Djairo G. de Figueiredo - Selected Papers, 1970, pp 17-22 from Springer

Abstract: Abstract A nonlinear integral equation of Hammerstein type is one of the form $$ u(x) + \int_{G} {K(x,\,y)f(y,\,u(y))dy} = w(x). $$

Keywords: AMS Subject Classifications. Primary 4530; 4770; 4780; Monotone operators; Maximal monotone operators; Pseudomonotone operators; Hemicontinuous mappings; Coercive mappings; Integral equations of Hammerstein type; Completely continuous mappings (search for similar items in EconPapers)
Date: 1970
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DOI: 10.1007/978-3-319-02856-9_3

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