ŠIMON HILSCHER, Roman. Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems. Electronic Journal of Qualitative Theory of Differential Equations. Szeged: Electronic Journal of Qualitative Theory of Differential Equations, Bolyai Institute, University of Szeged, 2015, roč. 54, č. 54, s. "nestrankovano", 16 s. ISSN 1417-3875. |
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@article{1308375, author = {Šimon Hilscher, Roman}, article_location = {Szeged}, article_number = {54}, keywords = {Symplectic system; Riccati matrix equation; Riccati matrix inequality; Recessive solution; Distinguished solution; Nonoscillation}, language = {eng}, issn = {1417-3875}, journal = {Electronic Journal of Qualitative Theory of Differential Equations}, title = {Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems}, volume = {54}, year = {2015} }
TY - JOUR ID - 1308375 AU - Šimon Hilscher, Roman PY - 2015 TI - Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems JF - Electronic Journal of Qualitative Theory of Differential Equations VL - 54 IS - 54 SP - "nestrankovano" EP - "nestrankovano" PB - Electronic Journal of Qualitative Theory of Differential Equations, Bolyai Institute, University of Szeged SN - 14173875 KW - Symplectic system KW - Riccati matrix equation KW - Riccati matrix inequality KW - Recessive solution KW - Distinguished solution KW - Nonoscillation N2 - In this paper we study the asymptotic properties of the distinguished solutions of Riccati matrix equations and inequalities for discrete symplectic systems. In particular, we generalize the inequalities known for symmetric solutions of Riccati matrix equations to Riccati matrix inequalities. We also justify the definition and properties of the distinguished solution and the recessive solution at minus infinity by relating them to their counterparts at plus infinity. ER -
ŠIMON HILSCHER, Roman. Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Szeged: Electronic Journal of Qualitative Theory of Differential Equations, Bolyai Institute, University of Szeged, 2015, roč.~54, č.~54, s.~''nestrankovano'', 16 s. ISSN~1417-3875.
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