scientific article; zbMATH DE number 4119060

zbMath0683.47045MaRDI QIDQ4732974

Peter P. Zabreĭko, Jürgen Appell

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Carathéodory conditionsintegral functionalspaces of measurable functionsnonlinear superposition operator

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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Representation and superposition of functions (26B40) Nonlinear operators and their properties (47H99)

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Representation theorem for locally defined operators in the space of Whitney differentiable functions ⋮ Solvability of mixed type operator equations ⋮ On the \({\mathcal L}\)-characteristic of the superposition operator in Lebesgue spaces with mixed norm ⋮ Variational properties of the solutions of singular second-order differential equations and systems ⋮ Iterated function systems based on the degree of nondensifiability ⋮ Multivalued superposition operators in ideal spaces of vector functions. III ⋮ Multivalued superposition operators ⋮ Multivalued superposition operators in ideal spaces of vector functions. II ⋮ Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation ⋮ On the existence of solutions of functional integral equation of Urysohn type ⋮ Locally defined operators in the space of functions of bounded Riesz-variation

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