Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non-Lipschitz conditions

DOI10.1186/1687-1847-2013-151zbMath1390.60221OpenAlexW2145033234WikidataQ59301381 ScholiaQ59301381MaRDI QIDQ1648689

Yuhua Cai, Fengying Wei

Publication date: 27 June 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-151

zbMATH Keywords

stabilityuniqueness theoreminfinite delayexistence theoremneutral stochastic functional differential equationsnon-Lipschitz conditionphase space \(C_g\)

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40)

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