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

2010/01/19 by Douglas R. Anderson, Anderson, Douglas R., Christopher C. Tisdell +1
Mathematics · #26E70 #34N05 #39A10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #math.CA #msc:26E70 #msc:34N05 #msc:39A10

paper · pdf · doi:10.48550/arxiv.1001.3429

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

arxiv created 2010/01/19 · openalex publication_date 2010/01/19 · arxiv updated 2010/02/26 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

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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