Boundary-value problems for the Lyapunov equation. II

  • O. Boichuk Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv; Kyiv-Mohyla Academy National University
  • Ye. Panasenko Zaporozhye National University
  • O. Pokutnyi Kyiv National University named after Taras Shevchenko; Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv



We investigate the bifurcation conditions of the solutions for the nonlinearly perturbed Lyapunov equation.  Statements of boundary-value problems  are proposed for the coupled systems of Lyapunov equations.


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How to Cite
Boichuk, O., Y. Panasenko, and O. Pokutnyi. “Boundary-Value Problems for the Lyapunov Equation. II”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, no. 5, June 2024, pp. 680 -94, doi:10.3842/umzh.v76i5.7786.
Research articles