A note on differential and integral equations in the spaces of functions of \(\Lambda \)-bounded variation

DOI10.1016/j.na.2012.03.010zbMath1245.45003OpenAlexW1970631538MaRDI QIDQ423661

Daria Bbugajewska

Publication date: 4 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.03.010

zbMATH Keywords

Banach contraction principleHammerstein integral equationconvolution operatorlinear differential equation\(\Lambda \)-variationLovelady's fixed point theoremmapping of higher ordermixed Volterra-Fredholm integral equationnonautonomous superposition operatornonlinear superposition operatorsemilinear differential equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Nonlinear ordinary differential equations and systems (34A34) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fredholm integral equations (45B05) Volterra integral equations (45D05) Functions of bounded variation, generalizations (26A45)

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Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu ⋮ LOCAL BOUNDEDNESS OF NONAUTONOMOUS SUPERPOSITION OPERATORS IN ⋮ On some nonlinear operators in \(\Lambda BV\)-spaces ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ On bounded lower \(\Lambda\)-variation ⋮ A Lagrangian relaxation-based heuristic for the multi-ship quay crane scheduling problem with ship stability constraints ⋮ On \(\Lambda_p BV\)-solutions of some nonlinear integral equations on the plane

Cites Work

• Unnamed Item
• Unnamed Item
• On nonlinear integral equations in the space of functions of bounded generalized \(\varphi\)-variation
• On the superposition operator in the space of functions of bounded variation, revisited
• On some fixed-point theorems for generalized contractions and their perturbations
• On BV-solutions of some nonlinear integral equations
• \(BV_{\phi}\)-solutions of nonlinear integral equations.
• An extended Cauchy-Kovalevskaya problem and its solution in associated spaces
• Existence results for BV-solutions of nonlinear integral equations
• BV periodic solutions of an evolution problem associated with continuous moving convex sets
• On mappings of higher order and their applications to nonlinear equations
• On nonlinear integral equations and \(\Lambda\)-bounded variation
• On functional improper Volterra integral equations and impulsive differential equations in ordered Banach spaces
• Perturbation theory for Volterra integrodifferential systems
• General inequalities of Stieltjes integrals and the convergence of Fourier series
• Functions of generalized variation
• On Λ-bounded variation
• A Fixed Point Theorem, A Perturbed Differential Equation, and a Multivariable Volterra Integral Equation
• On convergence of Fourier series of functions of generalized bounded variation

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