On the two-point boundary-value problem for the Riccati matrix differential equation
V. Laptinsky ; I. Makovetsky
Open Mathematics, Tome 3 (2005), p. 143-154 / Harvested from The Polish Digital Mathematics Library

Constructive sufficient conditions for univalent resolvability of a two-point boundary value problem for nonlinear Riccati equation are obtained. An illustrative example is given.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:268790
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     author = {V. Laptinsky and I. Makovetsky},
     title = {On the two-point boundary-value problem for the Riccati matrix differential equation},
     journal = {Open Mathematics},
     volume = {3},
     year = {2005},
     pages = {143-154},
     zbl = {1069.34023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475661}
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V. Laptinsky; I. Makovetsky. On the two-point boundary-value problem for the Riccati matrix differential equation. Open Mathematics, Tome 3 (2005) pp. 143-154. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475661/

[1] N.P. Erugin: Reading Book on the General Course of Differential Equations, Nauka&Technica, Minsk, 1979.

[2] V.I. Zubov: Lectures on the Control Theory, Nauka, Moscow, 1975.

[3] V.N. Laptinsky: COnstructive Analysis of Controlled Oscillating Systems, Institute of Mathematics, NAS of Belarus, Minsk, 1998.

[4] V.B. Larin: Control of Walking Apparatuses, Naukova Dumka, Kiev, 1980.

[5] V.I. Mironenko: Linear Dependence of Functions along Solutions of Differential Equations, Belarussian State University, Minsk, 1981.

[6] Yu.I. Paraev: Lyapunov and Riccati Equations, State University, Tomsk, 1989.

[7] Ia. N. Roytenberg: Automatic Control, Nauka, Moscow, 1978.

[8] A.M. Samoilenko, V.N. Laptinsky, K.K. Kenjebaev: Constructive Research Approaches of Periodic and Multipoint Boundary Value Problems, Institute of Mathematics, NAS of Ukraine, Kiev, 1999.

[9] V.N. Laptinsky and V.V. Pugin: Report Theses of Math. Conf. in memory of Prof. S.G. Kondratenia. Brest, (1998), pp. 23.

[10] V.N. Laptinsky and I.I. Makovetsky: “On Solvability of the Two-Point Boundary-Value Problem for the Nonlinear Lyapunov Equation”, Herald of the Mogilev State University, Vol. 15, (2003), pp. 176–181. | Zbl 1069.34023

[11] B.P. Demidovich: Lectures on the Mathematical Theory of Stability, Nauka, Moscow, 1967.

[12] F.R. Gantmakher: The Matrix Theory, Nauka, Moscow, 1967.

[13] L.V. Kantorovich and G.P. Akilov: Functional Analysis, Nauka, Moscow, 1977.