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

作者：Anderson Douglas R^*; Tisdell Christopher C

来源：Journal of Difference Equations and Applications, 2011, 17(10): 1487-1498.

DOI：10.1080/10236191003639483

• ordinary differential equations
• ordinary difference equations
• variation of partameters
• ordinary dynamic equations
• reduction of order
• time scales

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.

• 出版日期2011