Measure of noncompactness and application to stochastic differential equations

DOI10.1186/s13662-016-0748-zzbMath1419.47010OpenAlexW2264411604MaRDI QIDQ1796447

Abdelkader Dehici, Nadjeh Redjel

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0748-z

zbMATH Keywords

existenceuniquenessfixed pointWiener processItô integralmeasure of noncompactnessBanach spacecondensing operatorsKirk's process

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random nonlinear operators (47H40) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Applications of operator theory in probability theory and statistics (47N30)

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Controllability of fractional impulsive neutral stochastic functional differential equations via Kuratowski measure of noncompactness

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