Phase matrix of linear differential systems

Ondřej Došlý

Časopis pro pěstování matematiky (1985)

  • Volume: 110, Issue: 2, page 183-192
  • ISSN: 0528-2195

How to cite


Došlý, Ondřej. "Phase matrix of linear differential systems." Časopis pro pěstování matematiky 110.2 (1985): 183-192. <>.

author = {Došlý, Ondřej},
journal = {Časopis pro pěstování matematiky},
keywords = {second order; phase function; trigonometric matrices},
language = {eng},
number = {2},
pages = {183-192},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Phase matrix of linear differential systems},
url = {},
volume = {110},
year = {1985},

AU - Došlý, Ondřej
TI - Phase matrix of linear differential systems
JO - Časopis pro pěstování matematiky
PY - 1985
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 110
IS - 2
SP - 183
EP - 192
LA - eng
KW - second order; phase function; trigonometric matrices
UR -
ER -


  1. C. D. Ahlbrand D. B. Hinton R. T. Lewis, The effect of variable change on oscillation and disconjugacy criteria with application to spectral theory, J. Math. Anal. Appl. 81 (1981) 234-277. (1981) MR0618771
  2. J. H. Barret, A Prüfer transformation for matrix differential equations, Proc. Amer. Math. Soc. 8 (1957) 510-518. (1957) MR0087821
  3. R. Bellman, Introduction to Matrix Analysis, McGraw-Hill New York 1960. (1960) Zbl0124.01001MR0122820
  4. O. Borůvka, Linear Differential Transformation of the Second Order, London 1971. (1971) MR0463539
  5. P. Hartman, Self-adjoint, nonoscillatory systems of ordinary, second order, linear equations, Duke Math. J. 24 (1957) 25-35. (1957) MR0082591
  6. M. Morse, A generalization of the Sturm separation and comparison theorem in n-space, Math. Ann. 103 (1935) 72-91. (1935) 
  7. J. Radon, Zum problem von Lagrange, Abh. Math. Sem. Univ. Hamburg 6 (1928) 273 - 279. (1928) 
  8. W. T. Reid, Ordinary Differential Equations, John Willey, New York 1971. (1971) Zbl0212.10901MR0273082
  9. R. L. Sternberg, Variational methods and nonoscillatory theorems for systems of differential equations, Duke Math. J. 19 (1952) 311-322. (1952) MR0048668

Citations in EuDML Documents

  1. Ondřej Došlý, Representation of solutions of general linear differential systems of the second order
  2. Ondřej Došlý, On conjugate points of solutions of non-selfadjoint differential systems
  3. Ondřej Došlý, On transformations of self-adjoint linear differential systems
  4. Ondřej Došlý, On some properties of trigonometric matrices
  5. Zuzana Došlá, Denisa Škrabáková, Phases of linear difference equations and symplectic systems
  6. Ondřej Došlý, Second phase matrix of differential systems Y ' + P ( x ) Y = 0

NotesEmbed ?


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.