Asymptotic behaviour of the equation z ˙ = G ( t , z ) [ h ( z ) + g ( t , z ) ]

Josef Kalas

Archivum Mathematicum (1989)

  • Volume: 025, Issue: 4, page 195-206
  • ISSN: 0044-8753

How to cite

top

Kalas, Josef. "Asymptotic behaviour of the equation $\dot{z}=G(t,z)[h(z)+g(t,z)]$." Archivum Mathematicum 025.4 (1989): 195-206. <http://eudml.org/doc/18274>.

@article{Kalas1989,
author = {Kalas, Josef},
journal = {Archivum Mathematicum},
keywords = {modified Lyapunov function method; Riccati equation},
language = {eng},
number = {4},
pages = {195-206},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic behaviour of the equation $\dot\{z\}=G(t,z)[h(z)+g(t,z)]$},
url = {http://eudml.org/doc/18274},
volume = {025},
year = {1989},
}

TY - JOUR
AU - Kalas, Josef
TI - Asymptotic behaviour of the equation $\dot{z}=G(t,z)[h(z)+g(t,z)]$
JO - Archivum Mathematicum
PY - 1989
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 025
IS - 4
SP - 195
EP - 206
LA - eng
KW - modified Lyapunov function method; Riccati equation
UR - http://eudml.org/doc/18274
ER -

References

top
  1. J. Kalas, On a “Liapunov-like” function for an equation z ˙ = f ( t , z ) with a complex-valued function f, Aгch. Math. (Brno) 18 (1982), 65-76. (1982) MR0683347
  2. J. Kalas, Asymptotic nature of solutions of the equation ż = f(t,z) with a complex-valued function f, Arch. Math. (Brno) 20 (1984), 83-94. (1984) MR0784859
  3. J. Kalas, Some results on the asymptotic behaviour of the equation ż = f(t,z) with a complex-valued function f, Arch. Math. (Brno) 21 (1985), 195-199. (1985) MR0833131
  4. J. Kalas, Contributions to the asymptotic behaviour of the equation ż = f(t, z) with a complex-valued function f, to appear. MR1037349
  5. C. Kulig, On a system of differential equations, Zeszyty Naukowe Univ. Jagiellonskiego, Prace Mat. Zeszyt 9, 77 (1963), 37-48. (1963) Zbl0267.34029MR0204763
  6. M. Ráb, Equation Z ' = A ( t ) - Z 2 , coefficient of which has a small modulus, Czech. Math. J. 21 (96) 1971, 311-317. (1971) MR0287096
  7. M. Ráb, Geometrical ąpproach to the study of the Riccati differential equation with complex-valued coefficients, J. Diff. Equations 25 (1977), 108-114. (1977) MR0492454
  8. Z. Tesařová, The Riccati differential equation with complex-valued coefficients and application to the equation x ' ' + P ( t ) x ' + Q ( t ) x = 0 , Aгch. Math. (Brno) 18 (1982), 133-143. (1982) Zbl0514.34042MR0682101

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.