Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type

DOI10.7153/dea-09-15zbMath1390.60254OpenAlexW2617447951WikidataQ115157986 ScholiaQ115157986MaRDI QIDQ4638269

Ngo Ngoc

Publication date: 4 May 2018

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-09-15

zbMATH Keywords

Banach's fixed point theoremUlam-Hyers-Rassias stabilitystochastic integral equationsGronwall's lemma

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Stability theory of functional-differential equations (34K20) Inequalities involving derivatives and differential and integral operators (26D10) Stochastic integral equations (60H20)

Related Items (9)

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations ⋮ On stability of stochastic differential equations with random impulses driven by Poisson jumps ⋮ Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays ⋮ On Ulam type of stability for stochastic integral equations with Volterra noise ⋮ Some existence and uniqueness results for a class of proportional Liouville-Caputo fractional stochastic differential equations ⋮ Unnamed Item ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic Ito-Volterra integral equation ⋮ Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays ⋮ Ulam-Hyers-Rassias stability of stochastic functional differential equations via fixed point methods

Cites Work

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