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Stability criteria for linear integro-differential equations

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1151))

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Abstract

We consider a system of Volterra equations of the form x’=A(t)x+∝ to C(t,s)x(s)ds in which A(t) and C(t,s) are continuous n × n matrices. Necessary and sufficient conditions for stability of the zero solution are given.

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References

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Authors
  1. W. E. Mahfoud
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Editor information

Brian D. Sleeman Richard J. Jarvis

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© 1985 Springer-Verlag

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Mahfoud, W.E. (1985). Stability criteria for linear integro-differential equations. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074733

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  • DOI: https://doi.org/10.1007/BFb0074733

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

  • eBook Packages: Springer Book Archive

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