The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Comparison Results for Solutions of Time Scale Matrix Riccati Equations and Inequalities


R. Hilscher

Department of Mathematical Analysis, Faculty of Science,
Masaryk University, Jan
čkovo nm. 2a,
CZ-60200, Brno, Czech Republic.


In this paper we derive comparison results for Hermitian solutions of time scale matrix Riccati equations and Riccati inequalities. Such solutions arise from special conjoined bases (X,U) of the corresponding time scale symplectic system via the Riccati quotient . We also discuss properties of a unitary matrix solution of a certain associated Riccati equation.

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