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Autonomous Nonlinear Boundary-Value Problems for the Lyapunov Equation in the Hilbert Space

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Ukrainian Mathematical Journal Aims and scope

We study boundary-value problems for the Lyapunov equation in the Hilbert space in the case where the corresponding problem is defined on an interval that depends on a parameter. We obtain necessary and sufficient conditions for the existence of generalized solutions of the problem.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    D. S. Bihun & O. O. Pokutnyi

  2. Zaporizhzhya National University, Zaporizhzhya, Ukraine

    E. V. Panasenko

Authors
  1. D. S. Bihun
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  2. O. O. Pokutnyi
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  3. E. V. Panasenko
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Corresponding author

Correspondence to O. O. Pokutnyi.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 7, pp. 867–878, July, 2021. Ukrainian DOI: 10.37863/umzh.v73i7.6691.

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Bihun, D.S., Pokutnyi, O.O. & Panasenko, E.V. Autonomous Nonlinear Boundary-Value Problems for the Lyapunov Equation in the Hilbert Space. Ukr Math J 73, 1009–1022 (2021). https://doi.org/10.1007/s11253-021-01973-4

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  • DOI: https://doi.org/10.1007/s11253-021-01973-4

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