Locally Lipschitz composition operators and applications to nonlinear integral equations
DOI10.1216/JIE-2013-25-3-321zbMath1298.47068MaRDI QIDQ388705
Yu. V. Lysakova, Jürgen Appell, Nathaly Guanda
Publication date: 6 January 2014
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1387207801
contraction mapping principlenonlinear integral equationfunctions of bounded variationcomposition operatorHölder continuous functionslocal Lipschitz conditionglobal Lipschitz condition
Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Lipschitz (Hölder) classes (26A16) Singular nonlinear integral equations (45G05) Functions of bounded variation, generalizations (26A45)
Cites Work
- On the superposition operator in the space of functions of bounded variation, revisited
- Abel integral equations. Analysis and applications
- On the autonomous Nemytskij operator in Hölder spaces
- On BV-solutions of some nonlinear integral equations
- On a Characterization of Lipschitzian Operators of Substitution in the SpaceBV{a, b)
- Composing Functions of Bounded Variation
- Lipschitzian composition operators in some function spaces
- Characterization of Globally Lipschitzian Nemytskii Operator in the Banach Space ACr‐1
- On the Invariance of Certain Classes of Functions Under Composition
- REMARK ON GLOBALLY LIPSCHITZIAN COMPOSITION OPERATORS
- On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation
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