Alternative solutions of inhomogeneous second--order linear dynamic equations on time scales

Details Alternative solutions of inhomogeneous second--order linear dynamic equations on time scales Alternative solutions of inhomogeneous second--order linear dynamic equations on time scales

2010-01-19

arxiv.org/abs/1001.3429v1

Mathematics

Classical Analysis and ODEs

12 pages, to appear in the Journal of Difference Equations and Applications

Scientific paper

We exhibit an alternative method for solving inhomogeneous second--order
linear ordinary dynamic equations on time scales, based on reduction of order
rather than variation of parameters. Our form extends recent (and
long-standing) analysis on $\R$ to a new form for difference equations, quantum
equations, and arbitrary dynamic equations on time scales.

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