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<p>We study uniform stability of a linear autonomous differential equation of neutral type under the condition of invertibility of the operator at the derivative in Lebesgue spaces. It is proved that in this case the uniform stability is equivalent to the condition that all roots of the characteristic function are located to the left of the imaginary axis, and that all roots on this axis are simple. Bibliography&#xa0;:&#xa0; 5 titles.</p>

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UNIFORM STABILITY OF NEUTRAL TYPE DIFFERENTIAL EQUATIONS

  • 期刊论文

  • 发表日期：

    2026年6月24日

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  • Irina Postanogova

摘要

We study uniform stability of a linear autonomous differential equation of neutral type under the condition of invertibility of the operator at the derivative in Lebesgue spaces. It is proved that in this case the uniform stability is equivalent to the condition that all roots of the characteristic function are located to the left of the imaginary axis, and that all roots on this axis are simple. Bibliography :  5 titles.