Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708263 | Applied Mathematics Letters | 2013 | 6 Pages |
Abstract
The 2nth-order Sturm–Liouville differential and difference equations can be written as linear Hamiltonian differential systems and symplectic difference systems, respectively. In this work, a similar result is given for the 2nth-order Sturm–Liouville equation on time scales using time reversed symplectic dynamic systems. Moreover, we show that this transformation preserves the value of the corresponding quadratic functionals which enables a further generalization of the theory for continuous and discrete Sturm–Liouville equations.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Petr Zemánek,