On the superposition operator in the space of functions of bounded variation, revisited

DOI10.1016/j.mcm.2010.05.008zbMath1202.45005OpenAlexW2035996481MaRDI QIDQ614308

Daria Bbugajewska

Publication date: 27 December 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.05.008

zbMATH Keywords

Banach contraction principleHammerstein integral equationVolterra-Hammerstein integral equationvariation in the sense of Jordannonautonomous superposition operator\(\varphi \)-variation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (14)

Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu ⋮ On superposition operators in spaces \(BV_{\varphi}(0,1)\) ⋮ On a Type of Volterra Integral Equation in the Space of Continuous Functions with Bounded Variation valued in Banach Spaces ⋮ Locally Lipschitz composition operators and applications to nonlinear integral equations ⋮ LOCAL BOUNDEDNESS OF NONAUTONOMOUS SUPERPOSITION OPERATORS IN ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ A note on differential and integral equations in the spaces of functions of \(\Lambda \)-bounded variation ⋮ On bounded lower \(\Lambda\)-variation ⋮ On bi-dimensional second \(\mu\)-variation ⋮ A counterexample to Ljamin’s theorem ⋮ On metric semigroups-valued functions of bounded Riesz-\(\Phi\)-variation in several variables ⋮ Nonautonomous chain rules in BV with Lipschitz dependence ⋮ On integral operators and nonlinear integral equations in the spaces of functions of bounded variation ⋮ On \(\Lambda_p BV\)-solutions of some nonlinear integral equations on the plane

Cites Work

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• On modular spaces
• On generalized variations (I)
• Definitions of Riemann Type of the Variational Integrals
• Composing Functions of Bounded ϕ-Variation
• Composing Functions of Bounded Variation

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