Bifurcation points of Hammerstein equations

DOI10.1007/BF01196600zbMath0784.47050OpenAlexW2053945136MaRDI QIDQ1804040

Jürgen Appell, Peter P. Zabreĭko

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196600

zbMATH Keywords

Fréchet differentiabilityfractional powerscompactnesskernel functioncontinuous dependenceasymptotic linearitybifurcation theoremsnonlinearity in the Hammerstein equationsystems of nonlinear integral equations of Hammerstein type involving a scalar parameter

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Integral operators (45P05) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Cites Work

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• Fractional powers of closed operators and the semigroups generated by them
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• Orlicz-Sobolev spaces and imbedding theorems
• Un teorema sulle funzioni continue rispetto ad una e misurabili rispetto ad un'altra variabile
• The Uniform Continuity of Functions in Sobolev Spaces

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