Abstract
In this chapter, we introduce the study of disconjugacy of nth order dynamic equations on time scales. Disconjugacy of ordinary differential equations is thoroughly studied and has a rich history. Much of what we develop in this chapter has been presented for ordinary differential equations in Coppel’s often cited monograph [100]. The analogous theory for forward difference equations was developed by Philip Hartman [154] in a landmark paper which has generated so much activity in the study of difference equations.
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© 2003 Springer Science+Business Media New York
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Eloe, P. (2003). Disconjugacy and Higher Order Dynamic Equations. In: Bohner, M., Peterson, A. (eds) Advances in Dynamic Equations on Time Scales. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8230-9_8
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DOI: https://doi.org/10.1007/978-0-8176-8230-9_8
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6502-3
Online ISBN: 978-0-8176-8230-9
eBook Packages: Springer Book Archive