Stability of the zero solution of nonlinear differential equations under the influence of white noise

DOI10.1186/S13662-015-0482-YzbMath1422.34236OpenAlexW2126477804WikidataQ59432174 ScholiaQ59432174MaRDI QIDQ1625496

Irada Dzhalladova, Viera Štoudková Ružičková, Miroslava Ružičková

Publication date: 29 November 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0482-y

zbMATH Keywords

Lyapunov functionwhite noisestochastic systemsmean square stability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic functional-differential equations (34K50) Numerical solutions to stochastic differential and integral equations (65C30)

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Cites Work

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• Employing stochastic differential equations to model wildlife motion
• Dynamics analysis of a stochastic SIR epidemic model
• Parameters of the Diffusion Leaky Integrate-and-Fire Neuronal Model for a Slowly Fluctuating Signal
• A Theory of Stochastic Resonance in Climatic Change
• Handbook of stochastic methods for physics, chemistry and the natural sciences.

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