Solving a class of generalized Lyapunov operator differential equations without the exponential operator function

• Autores: Lucas Antonio Jódar Sánchez
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 34, Nº 1, 1990, págs. 25-35
• Idioma: inglés
• DOI: 10.5565/publmat_34190_02
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• Resumen

  • In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C0, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.