On the two-point boundary-value problem for the Riccati matrix differential equation

• Autorzy: V. Laptinsky , I. Makovetsky
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

two-point boundary value problem; matrix differential equation; 34B10

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 1
• Strony: 143-154

Daty

wydano

2005-03-01

online

2005-03-01

Twórcy

autor

V. Laptinsky

• Institute of Applied Optics of NAS of Belarus

autor

I. Makovetsky

• Institute of Applied Optics of NAS of Belarus

Bibliografia

• [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.
• [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.

Identyfikatory

DOI

10.2478/BF02475661