Publication details

On a certain group of linear second-order differential operators of the Hill-type

Authors

BERÁNEK Jaroslav CHVALINA Jan

Year of publication 2014
Type Appeared in Conference without Proceedings
MU Faculty or unit

Faculty of Education

Citation
Description The article was created on the basis of scientific research in the area of interdisciplinary relations between algebra and the theory of differential equations with the aim to find deeper connections between these two branches. The Hill differential equation often occurs in physical, technical and astronomical topics, in particular in modelling connected with vibrations of mechanical systems. It is a special equation in Jacobi form investigations of which is motivated by concrete modelling time functions. In the contribution there is also established isomorphism between a certain group of Hill type differential operators and the subgroup of the group of third order differential operators with constant coefficients.

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