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Liapunov functionals and periodicity in integral equations

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Publication:1335556
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DOI10.2748/tmj/1178225758zbMath0808.45009OpenAlexW2040663233MaRDI QIDQ1335556

Theodore Allen Burton

Publication date: 16 October 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225758


zbMATH Keywords

systemsperiodic solutionsboundednessasymptotic propertiesLyapunov functionalnonconvolution integral equation


Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Periodic solutions of integral equations (45M15) Asymptotics of solutions to integral equations (45M05)




Cites Work

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  • Stability theory for Volterra equations
  • Some energy estimates for a nondifferentiated Volterra equation
  • Periodic solutions of abstract differential equations with infinite delay
  • Remarks on frequency domain methods for Volterra integral equations
  • A non-linear Volterra equation not of convolution type
  • On a nonlinear Volterra integral equation
  • Periodic Solutions of Linear Integro‐Differential Equations
  • The Asymptotic Behavior of the Solution of a Volterra Equation
  • On a nonlinear Volterra equation


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