Nonlinear eigenvalue problems of the form x=H(x,λ), where both x and the parameter λ belong to infinite-dimensional Banach spaces, are studied. Topological degree theory is avoided and instead it is used the theory of zero-epi maps [M. Furi et al., Ann. Mat. Pura Appl. 124 (1980), 321–343]. Applications to nonlinear boundary value problems are also presented.
A note on nonlinear problems depending on infinite dimensional parameters / A.L. Edelson; M.P. Pera. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 6:(1982), pp. 1185-1191.
A note on nonlinear problems depending on infinite dimensional parameters
PERA, MARIA PATRIZIA
1982
Abstract
Nonlinear eigenvalue problems of the form x=H(x,λ), where both x and the parameter λ belong to infinite-dimensional Banach spaces, are studied. Topological degree theory is avoided and instead it is used the theory of zero-epi maps [M. Furi et al., Ann. Mat. Pura Appl. 124 (1980), 321–343]. Applications to nonlinear boundary value problems are also presented.
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