2010•arXiv (Cornell University)Open access

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

Douglas R. Anderson, Christopher C. Tisdell

Abstract

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

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Key concepts: Dynamic equation, Independent equation, Mathematics, Order (exchange), Simultaneous equations, Reduction of order, Applied mathematics, Variation (astronomy)