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Disconjugacy and Higher Order Dynamic Equations

  • Paul Eloe

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.

Keywords

Boundary Value Problem Lower Solution Homogeneous Boundary Condition Generalize Zero Finite Difference Equation 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Paul Eloe
    • 1
  1. 1.Department of MathematicsUniversity of DaytonDaytonUSA

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