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

V. Laptinsky; I. Makovetsky

Open Mathematics (2005)

  • Volume: 3, Issue: 1, page 143-154
  • ISSN: 2391-5455

Abstract

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

How to cite

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V. Laptinsky, and I. Makovetsky. "On the two-point boundary-value problem for the Riccati matrix differential equation." Open Mathematics 3.1 (2005): 143-154. <http://eudml.org/doc/268790>.

@article{V2005,
abstract = {Constructive sufficient conditions for univalent resolvability of a two-point boundary value problem for nonlinear Riccati equation are obtained. An illustrative example is given.},
author = {V. Laptinsky, I. Makovetsky},
journal = {Open Mathematics},
keywords = {34B10},
language = {eng},
number = {1},
pages = {143-154},
title = {On the two-point boundary-value problem for the Riccati matrix differential equation},
url = {http://eudml.org/doc/268790},
volume = {3},
year = {2005},
}

TY - JOUR
AU - V. Laptinsky
AU - I. Makovetsky
TI - On the two-point boundary-value problem for the Riccati matrix differential equation
JO - Open Mathematics
PY - 2005
VL - 3
IS - 1
SP - 143
EP - 154
AB - Constructive sufficient conditions for univalent resolvability of a two-point boundary value problem for nonlinear Riccati equation are obtained. An illustrative example is given.
LA - eng
KW - 34B10
UR - http://eudml.org/doc/268790
ER -

References

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  1. [1] N.P. Erugin: Reading Book on the General Course of Differential Equations, Nauka&Technica, Minsk, 1979. 
  2. [2] V.I. Zubov: Lectures on the Control Theory, Nauka, Moscow, 1975. 
  3. [3] V.N. Laptinsky: COnstructive Analysis of Controlled Oscillating Systems, Institute of Mathematics, NAS of Belarus, Minsk, 1998. 
  4. [4] V.B. Larin: Control of Walking Apparatuses, Naukova Dumka, Kiev, 1980. 
  5. [5] V.I. Mironenko: Linear Dependence of Functions along Solutions of Differential Equations, Belarussian State University, Minsk, 1981. 
  6. [6] Yu.I. Paraev: Lyapunov and Riccati Equations, State University, Tomsk, 1989. 
  7. [7] Ia. N. Roytenberg: Automatic Control, Nauka, Moscow, 1978. 
  8. [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. [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. [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. Zbl1069.34023
  11. [11] B.P. Demidovich: Lectures on the Mathematical Theory of Stability, Nauka, Moscow, 1967. 
  12. [12] F.R. Gantmakher: The Matrix Theory, Nauka, Moscow, 1967. 
  13. [13] L.V. Kantorovich and G.P. Akilov: Functional Analysis, Nauka, Moscow, 1977. 

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