Even-order linear dynamic equations with mixed derivatives
- 作者：Ondř ; ej Doš ; lý ; ; Daniel Marek
- 关键词：Time scale ; Even-order dynamic equation ; Symplectic dynamic system ; Nabla symplectic system ; Nabla derivative
- 刊名：Computers and Mathematics with Applications
- 出版年：2007
- 期刊代码：37_08981221
- 类别：cp
- 出版时间：April 2007
- 卷：53
- 期：7
- 页码：1140-1152
- 文件大小：267 K
摘要
We consider the time scale doc=16&_acct=C000050221&_version=1&_userid=10&md5=dd8de6e20b48d04b2849db0a10088e35" title="Click to view the MathML source">kth-order differential operators
and the higher-order dynamic equations
We will show that these equations can be investigated as special cases of the so-called (delta or nabla) symplectic dynamic systems
whose qualitative theory is well developed. We also suggest further perspectives of the investigation of the qualitative properties of higher-order equations with mixed derivatives.