Крайові задачі для рівняння Ляпунова. І

O. Boichuk; Ye. Panasenko; O. Pokutnyi

doi:10.3842/umzh.v76i3.7785

O. Boichuk Institute of mathematics of NAS of Ukraine
Ye. Panasenko Zaporozhye National University
O. Pokutnyi Kyiv National University named after Taras Shevchenko; Institute of Mathamatics NAS of Ukraine

DOI: https://doi.org/10.3842/umzh.v76i3.7785

Abstract

UDC 517.9

We study boundary-value problems for the Lyapunov operator-differential equation. By using the theory of Moore–Penrose pseudoinverse operators and its development, we establish conditions for the existence of generalized solutions and propose algorithms for their construction.

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Boundary-value problems for the Lyapunov equation. І

Abstract

References