Phase matrix of linear differential systems

Ondřej Došlý

Časopis pro pěstování matematiky (1985)

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

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Došlý, Ondřej. "Phase matrix of linear differential systems." Časopis pro pěstování matematiky 110.2 (1985): 183-192. <http://eudml.org/doc/19417>.

@article{Došlý1985,
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 = {http://eudml.org/doc/19417},
volume = {110},
year = {1985},
}

TY - JOUR
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 - http://eudml.org/doc/19417
ER -

References

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  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

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  1. Ondřej Došlý, Representation of solutions of general linear differential systems of the second order
  2. Ondřej Došlý, On some properties of trigonometric matrices
  3. Ondřej Došlý, On transformations of self-adjoint linear differential systems
  4. Ondřej Došlý, On conjugate points of solutions of non-selfadjoint differential systems
  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

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