About stability of a difference analogue of a nonlinear integro-differential equation of convolution type

DOI10.1016/j.aml.2006.01.004zbMath1176.39018OpenAlexW2133130788WikidataQ115360966 ScholiaQ115360966MaRDI QIDQ1031719

Leonid Shaikhet

Publication date: 30 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.01.004

zbMATH Keywords

stabilitynonlinear integro-differential equationdifference analoguedifference equation with continuous timegeneral method of Lyapunov functional construction

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Cites Work

• About Lyapunov functionals construction for difference equations with continuous time.
• Criteria for the stability of systems of linear deterministic and stochastic difference equations with continuous time and with delay
• Construction of Lyapunov functionals for stochastic difference equations with continuous time
• Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time
• Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations
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