Study of a stochastic model of the ``dangling spider problem with an infinite previous history and Poisson switchings

DOI10.1007/BF02667062zbMath0992.60061OpenAlexW1973610696MaRDI QIDQ5951286

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Publication date: 2 September 2002

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02667062

zbMATH Keywords

stabilityLyapunov functionalsclassical Gronwall's estimatePicard's method

Mathematics Subject Classification ID

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

Cites Work

• Stability of nonlinear stochastic-evolution equations
• On the initial value problem for a class of functional-differential equations
• Norms and semi-groups in the theory of fading memory
• On the stability of systems with random parameters
• Absolute stability of a stochastic evolution equationt†
• Stability of stochastic functional differential equations
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