HILSCHER, Roman. Linear Hamiltonian systems on time scales: transformations. Dynamic Systems and Applications. Atlanta, USA: Dynamic Publishers,Inc., 1999, roč. 8, 3-4, s. 489-501, 12 s. ISSN 1056-2176. |
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@article{488373, author = {Hilscher, Roman}, article_location = {Atlanta, USA}, article_number = {3-4}, keywords = {time scale; (continuous and discrete) linear Hamiltonian system; transformation; disconjugacy; principal solution}, language = {eng}, issn = {1056-2176}, journal = {Dynamic Systems and Applications}, title = {Linear Hamiltonian systems on time scales: transformations}, volume = {8}, year = {1999} }
TY - JOUR ID - 488373 AU - Hilscher, Roman PY - 1999 TI - Linear Hamiltonian systems on time scales: transformations JF - Dynamic Systems and Applications VL - 8 IS - 3-4 SP - 489-501 EP - 489-501 PB - Dynamic Publishers,Inc. SN - 10562176 KW - time scale KW - (continuous and discrete) linear Hamiltonian system KW - transformation KW - disconjugacy KW - principal solution N2 - In this work we develop a transformation theory for linear Hamiltonian systems on an arbitrary time scale T. We prove that, under suitable assumptions, a linear Hamiltonian system is transformed into a system of the same form, which includes the corresponding continuous (T=R) and discrete (T=Z) results as special cases. Since we allow the matrix B to be singular, the important Sturm-Liouville equations of higher order may be studied as a special linear Hamiltonian system. ER -
HILSCHER, Roman. Linear Hamiltonian systems on time scales: transformations. \textit{Dynamic Systems and Applications}. Atlanta, USA: Dynamic Publishers,Inc., 1999, roč.~8, 3-4, s.~489-501, 12 s. ISSN~1056-2176.
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