On the representation of trajectories of bilinear systems and its applications
Sergej Čelikovský (1987)
Kybernetika
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Sergej Čelikovský (1987)
Kybernetika
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R. S. Pathak, S. K. Upadhyay (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Pilipovic, Stevan (1991)
Portugaliae mathematica
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Jacek Zienkiewicz (1994)
Studia Mathematica
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Sunao Ouchi (1983)
Annales de l'institut Fourier
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Let be a linear partial differential operator with holomorphic coefficients, where and We consider Cauchy problem with holomorphic data We can easily get a formal solution , bu in general it diverges. We show under some conditions that for any sector with the opening less that a constant determined by , there is a function holomorphic except on such that and as in .
Lucas A. Jódar Sánchez (1990)
Publicacions Matemàtiques
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In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C, 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.
Toshio Mikami (1988)
Annales de l'I.H.P. Probabilités et statistiques
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