Nonlinear integral equations with respect to functions having bounded \(p\)-variation

DOI10.1007/s10986-013-9211-yzbMath1277.45009OpenAlexW2064069501MaRDI QIDQ383677

Rimas Norvaiša

Publication date: 5 December 2013

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-013-9211-y

zbMATH Keywords

nonlinear integral equationPicard iteration\(p\)-variationrefinement Riemann-Stieltjes integral

Mathematics Subject Classification ID

Functions of bounded variation, generalizations (26A45) Nonlinear integral equations (45G99)

Cites Work

• Stochastic integral equations without probability
• Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
• Stochastic calculus for fractional Brownian motion and related processes.
• An inequality of the Hölder type, connected with Stieltjes integration
• Stieltjes integrals of Hölder continuous functions with applications to fractional Brownian motion
• Path-wise solutions of stochastic differential equations driven by Lévy processes
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