Implicit function theorems and nonlinear integral equations

zbMath0869.26003MaRDI QIDQ2365178

Peter P. Zabreĭko, Jürgen Appell, Alfonso Vignoli

Publication date: 17 July 1997

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

nonlinear integral equations of Hammerstein typelocal implicit function theorems

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) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Implicit function theorems, Jacobians, transformations with several variables (26B10) Singular nonlinear integral equations (45G05)

Related Items (6)

Hopf bifurcation for semilinear dissipative hyperbolic systems ⋮ Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs ⋮ How to solve Hammerstein equations ⋮ Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations ⋮ \(t\)-osculating operators in a space of continuous functions and applications ⋮ Solution sensitivity of variational inequalities

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