Existence, uniqueness and stability of mild solutions for time-dependent stochastic evolution equations with Poisson jumps and infinite delay

DOI10.1007/s10957-010-9792-0zbMath1241.34089OpenAlexW2050670060MaRDI QIDQ635804

Qing Zhou, Yong Ren, Li Chen

Publication date: 23 August 2011

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-010-9792-0

zbMATH Keywords

existenceuniquenessmild solutionsinfinite delaystochastic evolution equationsstability with respect to initial condition

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

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