A note on the fundamental matrix of variational equations in ℝ 3

Ladislav Adamec

Mathematica Bohemica (2003)

  • Volume: 128, Issue: 4, page 411-418
  • ISSN: 0862-7959

Abstract

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The paper is devoted to the question whether some kind of additional information makes it possible to determine the fundamental matrix of variational equations in ℝ 3 . An application concerning computation of a derivative of a scalar Poincaré mapping is given.

How to cite

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Adamec, Ladislav. "A note on the fundamental matrix of variational equations in $\mathbb {R}^3$." Mathematica Bohemica 128.4 (2003): 411-418. <http://eudml.org/doc/249234>.

@article{Adamec2003,
abstract = {The paper is devoted to the question whether some kind of additional information makes it possible to determine the fundamental matrix of variational equations in $\mathbb \{R\}^3$. An application concerning computation of a derivative of a scalar Poincaré mapping is given.},
author = {Adamec, Ladislav},
journal = {Mathematica Bohemica},
keywords = {invariant submanifold; variational equation; moving orthogonal system; invariant submanifold; variational equation; moving orthogonal system},
language = {eng},
number = {4},
pages = {411-418},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the fundamental matrix of variational equations in $\mathbb \{R\}^3$},
url = {http://eudml.org/doc/249234},
volume = {128},
year = {2003},
}

TY - JOUR
AU - Adamec, Ladislav
TI - A note on the fundamental matrix of variational equations in $\mathbb {R}^3$
JO - Mathematica Bohemica
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 128
IS - 4
SP - 411
EP - 418
AB - The paper is devoted to the question whether some kind of additional information makes it possible to determine the fundamental matrix of variational equations in $\mathbb {R}^3$. An application concerning computation of a derivative of a scalar Poincaré mapping is given.
LA - eng
KW - invariant submanifold; variational equation; moving orthogonal system; invariant submanifold; variational equation; moving orthogonal system
UR - http://eudml.org/doc/249234
ER -

References

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  1. A note on a generalization of Diliberto’s theorem for certain differential equations of higher dimension, (to appear). (to appear) Zbl1099.37032MR2125152
  2. Global Analysis, American Mathematical Society, Rode Island, 2002. (2002) MR1998826
  3. 10.1137/0523087, SIAM J. Math. Anal. 23 (1992), 1577–1608. (1992) MR1185642DOI10.1137/0523087
  4. 10.1006/jdeq.1994.1110, J. Differ. Equations 112 (1994), 407–447. (1994) MR1293477DOI10.1006/jdeq.1994.1110
  5. Ordinary Differential Equations with Applications, Springer, New York, 1999. (1999) Zbl0937.34001MR1707333
  6. Ordinary Differential Equations, John Wiley, New York, 1964. (1964) Zbl0125.32102MR0171038
  7. 10.1006/jdeq.2000.3888, J. Differ. Equations 168 (2000), 295–320. (2000) MR1808452DOI10.1006/jdeq.2000.3888

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