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New Stability Conditions for Linear Differential Equations with Several Delays

Author

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  • Leonid Berezansky
  • Elena Braverman

Abstract

New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation ∑ ̇ 𠑥 ( 𠑡 ) + 𠑚 𠑘 = 1 𠑎 𠑘 ( 𠑡 ) 𠑥 ( ℎ 𠑘 ( 𠑡 ) ) = 0 with measurable delays and coefficients. These results are compared to known stability tests.

Suggested Citation

  • Leonid Berezansky & Elena Braverman, 2011. "New Stability Conditions for Linear Differential Equations with Several Delays," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-19, June.
    • Handle: RePEc:hin:jnlaaa:178568
    DOI: 10.1155/2011/178568
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    Cited by:

    1. Berezansky, Leonid & Braverman, Elena, 2020. "Solution estimates for linear differential equations with delay," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    2. Vera Malygina & Kirill Chudinov, 2023. "Stability Conditions for Linear Semi-Autonomous Delay Differential Equations," Mathematics, MDPI, vol. 11(22), pages 1-42, November.
    3. Osama Moaaz & Ioannis Dassios & Omar Bazighifan, 2020. "Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments," Mathematics, MDPI, vol. 8(3), pages 1-12, March.

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