DOŠLÝ, Ondřej. On some aspects of the Bohl transformation for Hamiltonian and symplectic systems. Journal of Mathematical Analysis and Applications. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, roč. 448, č. 1, s. 281-292. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2016.10.015. |
Další formáty:
BibTeX
LaTeX
RIS
@article{1411911, author = {Došlý, Ondřej}, article_location = {San Diego}, article_number = {1}, doi = {http://dx.doi.org/10.1016/j.jmaa.2016.10.015}, keywords = {Bohl transformation; Trigonometric transformation; Trigonometric system; Hyperbolic transformation; Geometrical oscillation theory}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {On some aspects of the Bohl transformation for Hamiltonian and symplectic systems}, volume = {448}, year = {2017} }
TY - JOUR ID - 1411911 AU - Došlý, Ondřej PY - 2017 TI - On some aspects of the Bohl transformation for Hamiltonian and symplectic systems JF - Journal of Mathematical Analysis and Applications VL - 448 IS - 1 SP - 281-292 EP - 281-292 PB - ACADEMIC PRESS INC ELSEVIER SCIENCE SN - 0022247X KW - Bohl transformation KW - Trigonometric transformation KW - Trigonometric system KW - Hyperbolic transformation KW - Geometrical oscillation theory N2 - The classical Bohl transformation from 1906 concerns the second order linear differential equations and states, roughly speaking, that a pair of linearly independent solutions of a second order differential equation can be expressed via the sine and cosine functions. Since that time, this transformation has been extended in various directions and became e.g. the theoretical basis for the deeply developed transformation theory of second order linear differential equations. In our paper we discuss this transformation for linear Hamiltonian differential systems and discrete symplectic systems. We provide an alternative proofs to some know results and these new proofs enable to give a new insight into the topics. We also formulate some open problems associated with the discrete Bohl transformation. ER -
DOŠLÝ, Ondřej. On some aspects of the Bohl transformation for Hamiltonian and symplectic systems. \textit{Journal of Mathematical Analysis and Applications}. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, roč.~448, č.~1, s.~281-292. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2016.10.015.
|